History of England, Chapter 12, Part 10. Rosen was recalled to Dublin, and Richard Hamilton was again left in the Chief Command. He tried gentler means than those which had brought so much reproach on his predecessor. No trick, no lie, which was thought likely to discourage the starving garrison, was spared. One day a great shout was raised by the whole Irish camp. The defenders of London Derry were soon informed that the Army of James was rejoicing on account of the fall of Ennis Cullen. They were told that they had now no chance of being relieved and were exhorted to save their lives by capitulating. They consented to negotiate, but what they asked was that they should be permitted to depart armed and in military array by land or by water at their choice. They demanded hostages for the exact fulfilment of these conditions, and insisted that the hostages should be sent on board of the fleet which lay in Loch Foyle. Such terms Hamilton durced not grant. The Governors would abate nothing. The treaty was broken off, and the conflict recommenced. By this time July was far advanced, and the state of the city was hour by hour becoming more frightful. The number of the inhabitants had been thinned more by famine and disease than by the fire of the enemy, yet that fire was sharper and more constant than ever. One of the gates was beaten in, one of the bastions was laid in ruins, but the breaches made by day were repaired by night with indefettigable activity. Every attack was still repelled, but the fighting men of the garrison were so much exhausted that they could scarcely keep their legs. Several of them in the act of striking at the enemy fell down from mere weakness. A very small quantity of grain remained and was doled out by mouthfuls. The stock of salted hides was considerable, and by gnawing them the garrison appeased the rage of hunger. Dogs, fattened on the blood of the slain who lay unburied round the town, were luxuries which few could afford to purchase. The price of a welp's paw was five schlings and sixpence. Nine horses were still alive, and but barely alive. They were so lean that little meat was likely to be found upon them. It was, however, determined to slaughter them for food. The people perished so fast that it was impossible for the survivors to perform the rites of sepulture. There was scarcely a cellar in which some corpse was not decaying. Such was the extremity of distress that the rats who came to feast in those hideous dens were eagerly hunted and greedily devoured. A small fish caught in the river was not to be purchased with money. The only price for which such a treasure could be obtained was some handfuls of oatmeal. Lepreces such as strange and unwholesome diet engenders made existence a constant torment. The whole city was poisoned by the stench, exhaled from the bodies of the dead and of the half-dead. That there should be fits of discontent and insubordination among men enduring such misery was inevitable. At one moment it was suspected that Walker had laid up somewhere a secret store of food and was reveling in private, while he exhorted others to suffer resolutely for the good cause. His house was strictly examined, his innocence was fully proved, he regained his popularity. And the garrison, with death in near prospect, thronged to the cathedral to hear him preach, drank in his earnest eloquence with delight, and went forth from the house of God with haggard faces and tottering steps, but with spirit still unsubdued. There were indeed some secret plottings. A very few obscure traitors opened communications with the enemy, but it was necessary that all such dealings should be carefully concealed.  Even in that extremity the general cry was no surrender, and there were not wanting voices which in low tones added, first the horses and hides, and then the prisoners, and then each other. It was afterwards related, half in jest, yet not without a horrible mixture of earnest, that a corpulent citizen whose bulk presented a strange contrast to the skeletons which surrounded him thought it expedient to conceal himself from the numerous eyes which followed him with cannibal looks whenever he appeared in the streets. It was no slight aggravation of the sufferings of the garrison, that all this time the English ships were seen far off in Loch Foyle. Communication between the fleet and the city was almost impossible. One diver who had attempted to pass the boom was drowned, another was hanged. The language of signals was hardly intelligible. On the thirteenth of July, however, a piece of paper sewed up in a cloth button came to Walker's hands. It was a letter from Kirk, and contained assurances of speedy relief, but more than a fortnight of intense misery had since elapsed, and the hearts of the most sanguine were sick with deferred hope. By no art could the provisions which were left be made to hold out two days more. Just at this time Kirk received a dispatch from England, which contained positive orders that London Derry should be relieved. He accordingly determined to make an attempt which, as far as appears, he might have made with at least an equally fair prospect of success, six weeks earlier. Among the merchant ships which had come to Loch Foyle under his convoy was one called the Mountjoy. The master, Micaiah Browning, a native of London Derry, had brought from England a large cargo of provisions. He had, it is said, repeatedly remonstrated against the inaction of the armament. He now eagerly volunteered to take the first risk of suckering his fellow citizens, and his offer was accepted. Andrew Douglas, master of the phoenix, who had on board a great quantity of meal from Scotland, was willing to share the danger and the honour. The two merchantmen were to be escorted by the Dartmouth frigate of thirty-six guns, commanded by Captain John Leake, afterwards an admiral of great fame. It was the thirteenth of July. The sun had just set, the evening sermon in the cathedral was over, and the heartbroken congregation had separated. In the sentinels on the tower saw the sails of three vessels coming up the foil. Soon there was a stir in the Irish camp. The besiegers were on the alert for miles along both shores. The ships were in extreme peril, for the river was low, and the only navigable channel ran very near to the left bank, where the headquarters of the enemy had been fixed, and where the batteries were most numerous. Leake performed his duty with a skill and spirit worthy of his noble profession, exposed his frigate to cover the merchantman, and used his guns with great effect. At length the little squadron came to the place of peril. Then the mountjoy took the lead, and went right at the bottom. The huge barricade cracked and gave way, but the shock was such that the mountjoy rebounded and stuck in the mud. A yell of triumph rose from the banks. The Irish rushed to their boats, and were preparing to board, but the Dartmouth poured on them a well-directed broadside, which threw them into disorder. Just then the phoenix dashed at the breach which the mountjoy had made, and was in a moment within the fence. Meantime the tide was rising fast. The mountjoy began to move, and soon passed safe through the broken steaks and floating spas, but her brave master was no more. A shot from one of the batteries had struck him, and he died by the most enviable of all deaths, in sight of the city which was his birth-place, which was his home, and which had just been saved by his courage and self-devotion from the most frightful form of destruction. The night had closed in before the conflict at the boom began, but the flash of the guns was seen and the noise heard by the lean and ghastly multitude which covered the walls of the city. When the mountjoy grounded and when the shout of triumph rose from the Irish of both sides of the river, the hearts of the besieged died within them. One who endured the unutterable anguish of that moment has told that they looked fearfully livid in each other's eyes. Even after the barricade had been passed, there was a terrible half-hour of suspense. It was ten o'clock before the ships arrived at the key. The whole population was there to welcome them. A screen made of casks filled with earth was hastily thrown up to protect the landing-place from the batteries on the other side of the river, and then the work of unloading began. First were rolled onshore barrels containing six thousand bushels of meal, then came great cheeses, casks of beef, flitches of bacon, kegs of butter, sacks of peas and biscuit, anchors of brandy. Not many hours before, half a pound of tallow and three-quarters of a pound of salted hide had been weighed out with niggardly care to every fighting man. The ration which each now received was three pounds of flour, two pounds of beef, and a pint of peas. It is easy to imagine with what tears Grace was said over the suppers of that evening.  The bonfires shone bright along the whole circuit of the ramparts. The Irish guns continued to roar all night, and all night the bells of the rescued city made answer to the Irish guns with a peel of joyous defiance. Through the whole of the thirty-first of July the batteries of the enemy continued to play. But soon after the sun had again gone down flames were seen arising from the camp, and when the first of August dawned a line of smoking ruins marked the site, lately occupied by the huts of the besiegers, and the citizens saw far off the long column of pikes and standards retreating up the left bank of the foil towards Straban. So ended this great siege the most memorable in the annals of the British Isles. It had lasted a hundred and five days. The garrison had been reduced from about seven thousand effective men to about three thousand. The loss of the besiegers cannot be precisely ascertained. Walker estimated it at eight thousand men. It is certain, from the dispatches of Avau, that the regiments which returned from the blockade had been so much thinned that many of them were not more than two hundred strong. Of thirty-six French gunners who had superintended the cannon-aiding, thirty-one had been killed or disabled. The means both of attack and defence had undoubtedly been such as would have moved the great warriors of the continent to laughter, and this is the very circumstance which gives so peculiar an interest to the history of the contest. It was a contest not between engineers, but between nations, and the victory remained with the nation which, though inferior in number, was superior in civilisation, in capacity for self-government, and in stubbornness of resolution. As soon as it was known that the Irish army had retired, a deputation from the city hastened to Loch Foyle, and invited Kirk to take the command, he came accompanied by a long train of officers, and was received in state by the two governors, who delivered up to him the authority which, under the pressure of necessity, they had assumed. He remained only a few days, but he had time to show enough of the incurable vices of his character to disgust a population distinguished by austere morals and ardent public spirit. There was, however, no outbreak. The city was in the highest good humour. Such quantities of provisions had been landed from the fleet, that there was in every house a plenty never before known. A few days earlier a man had been glad to obtain for twenty pence a mouthful of carrion scraped from the bones of a starved horse. A pound of good-beef was now sold for three half-pence. Meanwhile all hands were busyed in removing corpses which had been thinly covered with earth. In filling up the holes which the shells had plowed in the ground, and in repairing the battered roofs of the houses, the recollection of past dangers and privations, and the consciousness of having deserved well of the English nation, and of all Protestant churches, swelled the hearts of the townspeople with honest pride. That pride grew stronger when they received from William a letter acknowledging, in the most affectionate language, the debt which he owed to the brave and trusty citizens of his good city. The whole population crowded to the diamond to hear the royal epistle read, at the close all the guns on the ramparts sent forth a voice of joy, all the ships in the river made answer. Barrels of ale were broken up, and the health of their majesties was drunk with shouts and volleys of musketry. Five generations have passed away, and still the wall of London Derry is to the Protestants of Ulster what the trophy of Marathon was to the Athenians. A lofty pillar rising from a bastion which bore during many weeks the heaviest fire of the enemy is seen far up and far down the foil. On the summit is the statue of Walker, such as when, in the last and most terrible emergency, his eloquence roused the fainting courage of his brethren. In one hand he grasps the Bible, the other, pointing down the river, seems to direct the eyes of his famished audience to the English top masts in the distant bay. Such a monument was well deserved, yet it was scarcely needed, for in truth the whole city is, to this day, a monument of the great deliverance. The wall is carefully preserved, nor would any plea of health or convenience be held by the inhabitants sufficient to justify the demolition of that sacred enclosure which, in the evil time, gave shelter to their race and their religion. The summit of the ramparts forms a pleasant walk. The bastions have been turned into little gardens. Here and there among the shrubs and flowers may be seen the old culverines which scattered bricks cased with lead among the Irish ranks. One antique gun, the gift of the fishmongers of London, was distinguished during the 105 memorable days by the loudness of its report, and still bears the name of Roaring Meg. The cathedral is filled with relics and trophies. In the vestibule is a huge shell, one of many hundreds of shells which were thrown into the city. Over the altar are still seen the French flag-staves, taken by the garrison in a desperate sally. The white ensigns of the House of Bourbon have long been dust, but their place has been supplied by new banners, the work of the fairest hands of Ulster. The anniversary of the day on which the gates were closed, and the anniversary of the day on which the siege was raised, have been down to her own time celebrated by salutes, processions, banquets, and sermons. Lundy has been executed in effigy, and the sword, said by tradition to be that of Momont, has on great occasions been carried in triumph. There is still a walker-club and a Murray-club. The humble tombs of the Protestant captains have been carefully sought out, repaired, and embellished. It is impossible not to respect the sentiment which indicates itself by these tokens. It is a sentiment which belongs to the higher and purer part of human nature, and which adds not a little to the strength of states. A people which takes no pride in the noble achievements of remote ancestors will never achieve anything worthy to be remembered with pride by remote descendants. Yet it is impossible for the moralists or the statesmen to look with unmixed complacency on the solemnities with which London Derry commemorates her deliverance, and on the honours which she pays to those who saved her. Unhappily the animosities of her brave champions have descended with their glory. The faults which are ordinarily found in dominant castes and dominant sects have not seldom shown themselves without disguise at her festivities, and even with the expressions of pious gratitude which have resounded from her pulpits have too often been mingled words of wrath and defiance. The Irish army which had retreated to Straban remained there but a very short time. The spirit of the troops had been depressed by their recent failure and was soon completely cowed by the news of a great disaster in another quarter. Three weeks before this time the Duke of Berwick had gained an advantage over a detachment of the Enescalinas and had, by their own confession, killed or taken more than fifty of them. They were in hopes of obtaining some assistance from Kirk to whom they had sent a deputation, and they still persisted in rejecting all terms offered by the enemy. It was therefore determined at Dublin that an attack should be made upon them from several quarters at once. McCarthy, who had been rewarded for his services in Munster, with the title of Viscount Mount Cachal, marched towards Loch Urn from the east with three regiments of foot, two regiments of dragoons, and some troops of cavalry. A considerable force which lay encamped near the mouth of the river Drows was at the same time to advance from the west. The Duke of Berwick was to come from the north, with such horse and dragoons as could be spared from the army which was besieging London Derry. The Enescalinas were not fully apprised of the whole plan which had been laid for their destruction, but they knew that McCarthy was on the road with a force exceeding any which they could bring into the field. Their anxiety was in some degree relieved by the return of the deputation which they had sent to Kirk. Kirk could spare no soldiers, but he had sent some arms, some ammunition, and some experienced officers of whom the chief were Colonel Walsley and Lieutenant Colonel Berry. These officers had come by sea round the coast of Donegal and had run up the line. On Sunday, the 29th of July, it was known that their boat was approaching the island of Enescalina. The whole population, male and female, came to the shore to greet them. It was with difficulty that they made their way to the castle through the crowds which hung on them, blessing God that dear old England had not quite forgotten the Englishman who upheld her cause against great odds in the heart of Ireland. Walsley seems to have been in every respect well qualified for his post. He was a staunch Protestant, had distinguished himself among the Yorkshiremen who rose up for the Prince of Orange and a free parliament, and had, if he is not belied, proved his zeal for liberty and pure religion by causing the Mayor of Scarborough, who had made a speech in favour of King James, to be brought into the marketplace and well tossed there in a blanket. This vehement hatred of potpourri was in the estimation of the men of Enescaline the first of all qualifications for command, and Walsley had other and more important qualifications. Though himself regularly bred to war, he seems to have had a peculiar aptitude for the management of irregular troops. He had scarcely taken on himself the chief command when he received notice that Mount Cashill had laid siege to the castle of Crumb. Crumb was the frontier garrison of the Protestants of Fair Manor. The ruins of the old fortifications are now among the attractions of a beautiful pleasure-ground situated on a woody promontory which overlooks Locke-Erne. Walsley determined to raise the siege. He sent Barry forward, with such troops as could be instantly put in motion, and promised to follow speedily with a larger force. Barry, after marching some miles, encountered thirteen companies of McCarthy's dragoons commanded by Anthony, the most brilliant and accomplished of all who bore the name of Hamilton, but much less successful as a soldier than as a courtier, a lover, and a writer. Hamilton's dragoons ran at the first fire. He was severely wounded, and his second in command was shot dead. McCarthy soon came up to support Hamilton, and at the same time Walsley came up to support Barry. The hostile armies were now in presence of each other. McCarthy had above five thousand men and several pieces of artillery. The Aniskelunners were under three thousand, and they had marched in such haste that they had brought only one day's provisions. It was therefore absolutely necessary for them either to fight instantly or to retreat. Walsley determined to consult the men, and this determination, which in ordinary circumstances would have been most unworthy of a general, was fully justified by the peculiar composition and temper of the little army, an army made up of gentlemen and yeoman fighting not for pay, but for their lands, their wives, their children, and their god. The ranks were drawn up under arms, and the question was put, advance or retreat? The answer was a universal shout of advance. Walsley gave out the word, No Popery. It was received with loud applause. He instantly made his dispositions for an attack. As he approached, the enemy, to his great surprise, began to retire. The Aniskelunners were eager to pursue with all speed, but their commander, suspecting a snare, restrained their ardour, and positively forbade them to break their ranks. Thus one army retreated, and the other followed in good order through the little town of Newton Butler. About a mile from that town the Irish faced about and made a stand. Their position was well chosen. They were drawn up on a hill, at the foot of which lay a deep bog. A narrow paved causeway which ran across the bog was the only road by which the cavalry of the Aniskelunners could advance. For on the right and left were pools, turf pits, and quagmires which afforded no footing to horses. McCarthy placed his cannon in such a manner as to sweep this causeway. Walsley ordered his infantry to the attack. They struggled through the bog, made their way to firm ground, and rushed on the guns. There was then a shortened, desperate fight. The Irish canoneers stood gallantly to their pieces till they were cut down to a man. The Aniskelun horse, no longer in danger of being mowed down by the fire of the artillery, came fast up the causeway. The Irish dragoons who had run away in the morning were smitten with another panic, and without striking a blow galloped from the field. The horse followed the example. First was the terror of the fugitives, that many of them spurred hard till their beasts fell down, and then continued to fly on foot, throwing away carbines, swords, and even coats, as incumbrances. The infantry, seeing themselves deserted, flung down their pikes and muskets, and ran for their lives. The conquerors now gave loose to that ferocity which has seldom failed to disgrace the civil wars of Ireland. The butchery was terrible. The fifteen hundred of the vanquished were put to the sword. About five hundred more, in ignorance of the country, took a road which led to Loch Urn. The lake was before them, the enemy behind. They plunged into the waters, and perished there. McCarthy, abandoned by his troops, rushed into the midst of the pursuers, and very nearly found the death which he sought. He was wounded in several places. He was struck to the ground, and in another moment his brains would have been knocked out with the butt end of a musket, when he was recognized and saved. The colonists lost only twenty men killed, and fifty wounded. They took four hundred prisoners, seven pieces of cannon, fourteen barrels of powder, all the drums, and all the colours of the vanquished enemy. The battle of Newton Butler was won on the same afternoon, on which the boom thrown over the foil was broken. At Straban the news met the Celtic army which was retreating from London Derry. All was terror and confusion. The tents were struck. The military stores were flung by wagon-loads into the waters of the Morn, and the dismayed Irish, leaving many sick and wounded to the mercy of the victorious Protestants, fled to Omar, and thence to Shalmont. Sarsfield, who commanded at Sligo, found it necessary to abandon that town, which was instantly occupied by a detachment of Kirk's troops. Dublin was in consternation. James dropped words which indicated an intention of flying to the continent. Evil tidings, indeed, came fast upon him. Almost at the same time at which he learned that one of his armies had raised the siege of London Derry, and that another had been routed at Newton Butler, he received intelligence scarcely less disheartening from Scotland. It is now necessary to trace the progress of those events to which Scotland owes her political and her religious liberty, her prosperity, and her civilisation. The end of History of England, Chapter 12, Part 10


An active preservationist for more than 20 years, John H. Bryan is a hands-on leader who uses preservation as a tool to enhance communities, thanks to his extraordinary efforts to help protect threatened places and support the effective stewardship of historic sites. Mr. Bryan has made a lasting difference in his city of Chicago and nationwide. Mr. Bryan's commitment to historic sites and collections is in a class of its own. In 2003, in collaboration with the National Trust for Historic Preservation and Landmarks Illinois, he successfully spearheaded Friends of the Farnsworth House's effort to raise funds to purchase Mies van der Roos' famed Farnsworth House, ultimately leading to the acquisition of the house by the National Trust at auction in December of that year. To this day, Mr. Bryan remains deeply engaged in the stewardship of this modern icon. Mr. Bryan and his wife also endowed the John and Neville Bryan Director of Museum Collections Position at the National Trust, ensuring sustained professional care and management of the world-class fine arts, decorative arts, and object collections at National Trust historic sites. During his 25-year tenure as CEO of the Sara Lee Corporation, John Bryan directed a deep engagement of the corporation and its employees with the communities in which they did business. Also during his time, Sara Lee Corporation contributed more than 5 percent of its income to not-for-profit organizations, mostly in the civic and cultural arena. In 1999, Sara Lee Corporation gave its entire collection of 52 pieces of early modern art, valued at well over $100 million to 40 museums around the world. In recognition of Sara Lee's contributions to the arts and culture, John Bryan received, on behalf of Sara Lee, the National Medal of the Arts in 1998 from President Bill Clinton. Mr. Bryan is equally committed to direct on-the-ground action. In Chicago in 1990, he developed and led a successful $100 million corporate campaign to raise funds and renovate Chicago's historic Lyric Opera House and its historic Orchestra Hall. In 1996, at the request of Mayor Richard M. Daly, he organized a private sector initiative which raised $250 million and created Millennium Park in Chicago. The park opened in 2004. While chairman of the Art Institute's Board of Trustees from 1998 to 2006, Mr. Bryan led the development of its new modern wing, for which over $400 million was raised. The modern wing opened in 2009. As honorary chair of the Campaign for America's Historic Places from 1998 to 2003, he helped ensure the National Trust's future financial strength and as an early member and past chairman of the National Trust Council, a group of business, civic, and philanthropic leaders among the trust's closest supporters and friends, Mr. Bryan recruited dozens of families to join this important leadership group. Mr. and Mrs. Bryan for over 30 years have lived in a 1926 colonial revival home designed by the architect David Adler. It sits on the western shore of Lake Michigan just north of Chicago. The house, its dependencies, and gardens are listed on the National Register of Historic Places and conservation easements have been placed on the property. The Bryan's home is located on Historic Crabtree Farm, the last remaining farm on Lake Michigan in Illinois. The Bryan's have also given conservation easements to assure the farm's long-term preservation. Few have done more than John H. Bryan to create and preserve our nation's historic places for future generations. This year's Louise Dupont Crown and Shield Award recognizes his continuing leadership and philanthropy and thanks him for his dedicated service.


Hello everyone. Myself, Mrs. Mayuri Kangre, Assistant Professor of Mathematics from the Department of Humanities and Sciences, Valchin Institute of Technology, Solapur. Today we are going to see multiple integrals, triple integration part 2. The learning outcome is at the end of this session the students will be able to solve the triple integrals. In the previous video lecture we have seen the definition, notation, geometric interpretation and uses of triple integration. Also, we have seen how to evaluate simple triple integrals that is with constant limits. The iterated integral is simple when capital V is a rectangular solid. For example, triple integration over V of f of x, y, z delta V is equals to integration from a to b, integration from c to d, integration from p to q, f of x, y, z, dz, dy, dx where a, b, c, d, p, q are the constants. Then such an integral is called as the simple integral and the order of integration can be decided using the differentials. Here, dz appears first, then dy and then dx, so the order of integration is first with respect to z, then with respect to y and then with respect to x and the limits of z are from p to q, the innermost integral, limits of y are from c to d, the middle integral and the limits of x are from a to b which can be illustrated here. For more complicated shapes, just remember these rules which are analogous to the rules we had for limits of double integral. First rule, the outer limits have to be constant, they cannot depend on any of the variables. Third rule, the middle limits can depend on the variables from the outer integral only, they cannot depend on the variable from the inner integral. Third rule, the inner limits can depend on variable from the outer integral and the variable from the middle integral. For example, triple integral over v f of x, y, z dv equals to integration from 2 to 3, integration from 1 minus z to 0, integration from minus y square minus z square to y square plus z square of f of x, y, z dx dy dz. Here if we observe the limits of inner integral, they are in terms of y and z, so these are the limits of x. So the first integration is with respect to x, if you observe the middle integral, it is expressed in terms of z, so this is the limit of y, so the next integration is with respect to y and the outer integral has the limits constant, so these are the limits of z which is to be evaluated at the end. Therefore, the order of integration is first with respect to x, then with respect to y and then with respect to z. Now, the following integral does not make any sense, see the integral, triple integral over v f of x, y, z dv is equals to integration from y to x, integration from 1 to 2 x, integration from 0 to 1 f of x, y, z dx dy dz. Why this does not make any sense, see its outer limit depend on x and y, middle limit depend on x and inner limits are constant, this integral does not obey the rule of triple integration. Therefore, we say that this integral does not make any sense. Now pause the video for a minute and give the answer of this question, what is the order of integration of the following triple integral? The integral is triple integration over v f of x, y, z dv equals to integration from 0 to 1, integration from 1 to 2 y, integration from 1 to x plus y, f of x, y, z, dz dx dy. I hope you all have written the order of integration, let us check the integration order. The order of integration is first with respect to z, then with respect to x and then with respect to y. See here, the given integral is of this form, here the inner integral has the limits 1 to x plus y, so these are the limits of z, you can find it by using the differential also. The middle integral has the limits 1 to 2 y, so these are the limits of x, see here the middle differential is dx and the outer integral has the limits of y. Therefore, the order of integration is first with respect to z, then with respect to x and then with respect to y. Now let us see the examples. First example, evaluate the integral, integration from 0 to 1, integration from 0 to x, integration from 0 to 1 plus x plus y, dz dy dx. Let us call the given integral as i, observe the integral, here the differentials are arranged in dz dy dx order, so the first integration is with respect to z, then with respect to y and then with respect to x. Irrespective of that, you can find the order of integration by observing the limits. Here the inner integral is expressed in terms of x and y, so these are the limits of z, the middle integral is expressed in terms of x, so this is the limit of y and outer integral will be the limit of x. So, here the order of integration is first with respect to z, then with respect to y and then with respect to x. Now evaluate this integral, i is equals to integration from 0 to 1, integration from 0 to x, integration from 0 to 1 plus x plus y, dz dy dx. First we will evaluate this inner integral, integration from 0 to 1 plus x plus y, dz, the integration of dz is z with the limits 0 to 1 plus x plus y, so the integral becomes integration from 0 to 1, integration from 0 to x, z with the limits 0 to 1 plus x plus y, dy into dx. We will put the limits, so we get the integral as integration from 0 to 1, integration from 0 to x, the upper limit 1 plus x plus y minus the lower limit 0 into dy into dx. We will separate the integral for all the terms, so we can write it as integration from 0 to 1, integration from 0 to x dy plus integration from 0 to x, x dy plus integration from 0 to x of y dy into dx. This integral is separated for all the terms. Now the integration of dy is y, the integration of x with respect to y is xy and the integration of y with respect to y is y square upon 2 with the limits 0 to x, so we can write the integral as integration from 0 to 1 into the bracket y with the limits 0 to x plus xy with the limits 0 to x plus y square upon 2 with the limits 0 to x into dx. Now let us substitute the limits, the upper limit is x and the lower limit is 0, so for the first bracket we can write it as x minus 0, for the second bracket x remains as it is, the limits are for y, so into the bracket x minus 0 plus the y is replaced by the upper limit x minus the lower limit 0 bracket square upon 2. So the integral becomes integration from 0 to 1 into the bracket x minus 0 plus x into x minus 0 plus x minus 0 bracket square upon 2 into dx. Here the integral becomes i equals to integration from 0 to 1, x minus 0 is x, x into x minus 0 is x square and x minus 0 bracket square upon 2 is x square upon 2, so we get the integral as integration from 0 to 1 x plus x square plus x square upon 2 into dx. Now we will integrate this with respect to x, the integration of x is x square by 2, the integration of x square is x cube upon 3, the integration of x square is x cube by 3 into this 1 by 2 which is a constant is written as it is. So we get the integration as x square upon 2 plus x cube upon 3 plus x cube upon 2 into 3 with the limits 0 to 1. Now let us substitute the limits, the upper limit is 1 and the lower limit is 0. So we get 1 square upon 2 plus 1 cube upon 3 plus 1 cube upon 2 into 3 is 6 minus 0 the lower limit which is not written here. Now 1 square upon 2 is 1 by 2, 1 cube upon 3 is 1 by 3 and 1 cube upon 6 is 1 by 6. So we get the value of the integral as 1 by 2 plus 1 by 3 plus 1 by 6. Now we will take the LCM which is 6, so in the numerator we get 3 plus 2 plus 1 which is nothing but 6. So we get 6 upon 6 which cancels each other and we get the value of integral i as 1. Therefore integration from 0 to 1, integration from 0 to x, integration from 0 to 1 plus x plus y dz dy dx is equal to 1. Thank you.


be live to go live multiple platforms today. We're going to be able to showcase your comments in the stream. So any of you talk to me in the Amazon stream, you're going to be able to see your comments highlighted if I like them. All right. So what did you come to Amazon today to buy? Are you on Amazon Prime Day two? Are you guys shopping? What are you guys shopping for? You shop if anything specific. We got a bunch of stuff in the carousel. The first thing I got right now is my favorite beverage is the Dead Wish Coffee. Dead Wish Coffee is the world's strongest coffee, never bitter, right? I have it right here. I'm drinking it. I'm drinking it out of one of their classic mugs. It's delicious stuff. I have the grinds over here. I've got the cake cup back here. I got Dead Wish everywhere. Love Dead Wish Coffee is my favorite coffee. I'm the Dead... I'm the Java Junkie. I go around drinking coffee all day long.  Dead Wish Coffee.  You want the strongest. Everybody wants that boost. They want that caffeine boost. You want a double boost. But then, you know, you get those strong coffees and they're bitter. They got a bitter sting to them. You don't like the taste. You know, but you want the caffeine, right? This has the caffeine in it and it's so smooth. It's delicious. It's really good stuff. I would highly recommend this is the best coffee you can get. The best coffee you can get. And it's on sale. This stuff's never on sale. It's a pretty expensive coffee. Not a middle-of-the-road coffee. You know, and it's never on sale. It's on sale today. I would take advantage of it and at least try it. Get it for yourself and try it. However you take it, cake cups, grinds, you know, whole beans, whatever you like. They've got even single-serve pour-over things where you put it. It's like a tea bag. You put over your cup and you pour hot water over it. Make your own coffee cup by cup. You know, if you don't have a curing or something that works, something like that, pretty cool. They have everything you need for the coffee enthusiast, okay? So what do you guys shop for? Like I said, you guys in the market for anything specific. And were there any good deals today or yesterday? Did you find anything on sale, on prime day sale? Well, this works vacuum cleaner. This thing is the car vac. It's an Amazon bestseller, okay? This thing is crazy good. And look at the price. Can you believe it? Under 15 bucks, 65% off. And that's what I'm talking about a deal, okay? That's what I'm talking about a deal. 65% off on prime day, all right? 1414 is the price on this thing. So this is a vacuum cleaner, HEPAVAC. It's got a 16-foot cord to it. Okay, now the thing with the 16-foot cord, you can go all the way to the back of the minivan, all the way to the front to the trunk everywhere. It reaches the whole car and it's plugged. It's full power HEPAVAC. It's got the crevice tool. It's got the hose. It's got the brush. It's got the case, you know, so you can keep it in your trunk and nice little carry case. This thing is selling like hot cakes. It's an Amazon bestseller. And, you know, and price, prime day price is crazy. This is a crazy, crazy price today. 1414. Check that out. That's the cordless vacuum cleaner by this works, okay? 16 foot cord, okay? 16 foot cord. I mean, that says it all right there.  There's still Cheerios under the seat and your battery is dead. This thing is going to solve that problem for you. 16 foot cord, okay? 16 foot cord, quick and easy, clean all messes, okay? And again, HEPAVAC vacuum. HEPAVAC vacuum. Pretty cool. So I'm gonna toss that over there. There you go. So that's the this works vacuum cleaner. Shopper attainment, okay? That's what Amazon is going for. Shopper attainment, okay? It's shopping, but it's entertainment. So it's kind of like, is shopping entertainment? That's the question in the so let me know in the chat. Do you find shopping entertaining? Do you go shopping to relieve stress? Do you find stress less or stress relieving? Do you find do you enjoy shopping finding deals? And what is it about shopping that you like?  I mean, shopper attainment, that's what we're going for on Amazon there with the Amazon live. So now you can go down on Amazon live and go down to the whatever product you're on. And there might be somebody like me down at the bottom going live with that product, like the this works vacuum cleaner, right? And then you have, hey, we got a follower. Hey, how you doing is 217L. Welcome, welcome, welcome. Thank you for following. So you could I forgot what I was saying. But I know I was talking about the vacuum cleaner, but you know, you can't beat that deal 1414.  And I wish I could remember what I was just saying. Java junkie in town, you know, zipping around. But shopper attainment, right? So is shopping entertainment? Do you enjoy shopping?  You know, I mean, some people like to compare stuff and read reviews. And you can go down and like that's what I was saying, you go down on the product page, there might be somebody like me going live. And you can actually ask them a question about that product, like, okay, so I got the the vacuum was what I was getting at. And you can say, Hey, does it have a HEPA filter? And I can tell you yes, it has a HEPA filter, because I can answer your question in real time. That's like insanity. So you go on Amazon, you scroll down to the bottom of the page for any product. And you'll see the videos down there that we do. And you'll see people going live, you'll see them going live on the deals page on Amazon. And you can ask them questions of the product and they can look it up and they can tell you, you know, basically, what, because they're supposed to have used the product and have the product on hand. Okay. So that's the vacuum cleaner. This is a crazy price. I really I love this camera. I use it all the time I'll be using it tonight. When I go live later, it'll be the camera I'm using to go live later. I went live last night with this camera. If you were watching me last night at the 10 o'clock or whatever time it was. Yeah, look at this price. $89 for a DSL 4k camera. Well, it's not DSL, but it's got the zoom lens, it's got three lenses to it. It's got all the bells and whistles, everything you need. It takes photos, it takes slow motion. It takes video, it takes time lapse. All of that stuff's got the flip out screen, right? The only thing I don't like about this is that it doesn't have anti stabilization. So it shakes a lot when you're holding it. But if you put it on a tripod like I do, you're good to go. So if you're putting it on a tripod, you don't need it to be anti stabilization. So I put it on a tripod and thing works great. Real happy with this camera, you know, you can spend $1,000 on a camera. And you know, people don't really realize that the everyday person doesn't realize that you spent $1,000 or $200 or $500 on a camera. Okay, most people using their phone, they're using their phone, they don't, you know, they have it anyway. You know, I mean, even though it's probably 800 dollar phone, the camera is only one component to it, right? But these cameras on the phones today are ridiculously good. But, you know, this camera for the price is a steal. And I do almost all my creating on it, because the camera, the phone camera, the problem is downloading stuff from the phone to the computer to edit, right? To edit. So this has the SD card that you put in there, right? And then you can just take that out and put in the SD card reader and put it to your camera, to your computer, and edit whatever you do, make slideshows, whatever you do with your pictures or videos, right? Makes it a lot easier when you're using this camera to your phone. It phones great because you can you share it to Facebook and whatnot.  Jennifer's here. Say hello. Say hello. We're going to highlight. We got the ability to highlight comments. Isn't that crazy? So say something nice and I'll and I'll put you in. I'll make you famous. I'll make you famous. So this camera, I can't say enough about it for the price. Really, if you're if you're thinking about getting a camera, you haven't ever gotten one of these cameras before, and you're afraid to go ahead and pull the trigger on a $500 to $1,000 camera and then you're worried about now I got to buy a lens for the camera and now it's going up to $1,200 and I'm afraid because I don't know what I'm doing and I might break it. Get this camera. Get this camera. Learn how to use the camera. Get comfortable using the camera. Get comfortable with all the components and how to download, how to use the batteries, how to do this, how to do the lighting because you can adjust lighting, the light balance in this and all that kind of stuff. Hey there, Radha's here. Radha, how are you? Oh, yes. Hey, hey, hey. Welcome, welcome. Excellent, excellent camera. So that's what I'm saying.  I was afraid for the price and I spent a little more on it than this, but I was afraid that it was going to be a piece of crap and I'm really for the price. It is, it's amazing for the price. Okay. Amazing for the price. Can't beat it for under $400. You're spending, right now it's on sale. What's it? 32% off? Okay. No, that's that's a deal. 32% off. That's a deal and it comes, I think, in white and pink.  Great camera. It's a great, great camera. I recommend the camera very highly. All right. And so far, the stuff I've been going through well, the vacuum cleaner, this works vacuum cleaner, that was sent to me by Thrasio to review. And the camera I bought for myself and this popcorn maker I bought for myself, I love this thing. Okay. I saw it in another stream and I had to have it, you know, it stores in the cabinet, right? Just like that big, right? It's got the lid on it. It just pops open, just pops up, right? You put your kernels in there up to the line. You put the lid on it and you pop it in the microwave and every kernel pops, you put it in for a minute. The lid pops up like this, about this high and you get a nice bowl of popcorn and you can put flavoring in it and you can put all that kind of good stuff in there. And then it's silicone, easy to clean and then just pop it down and it goes right back into the cabinet. Easy storage. We love it.  Everybody can have their own and it just takes a minute to pop the corn and then you just go and watch a movie or whatever you're doing with the popcorn, right? Sit around the fire or whatever you're doing. But that thing, it's a good product to be bought that because I saw it in another stream and I said, hey, that's pretty cool. We love popcorn and, you know, microwaving it is cool but you always burn the popcorn. You always get kernels that don't pop so far, almost every time it pops every kernel. I don't know how they do it. The Java Junkie, Deathwish Coffee. Look at this mug. This is their mug, okay? It's got the Deathwish guy on it, okay? Deathwish Coffee is the best coffee I can tell you. It's in the stream. Get some, get some today, all right? Hey now. I bought this for myself too and I needed a light for work and I got, I said, I want to get a magnetic light so I can clip it to the side of the truck and I want it to be rechargeable because I don't want to deal with batteries. So I was looking around and I found this, this is a pair that comes in two lights, comes with two lights and magnet, the magnet, the magnet sticks to the truck or wherever. You know, I have one on my furnace when I do the, when I change the filters. You can put it up when you're doing your car battery or whatever and I mean it goes just about in any direction, right? And magnet doesn't fall off. I drive around with it and it stays on my truck and it's pretty strong. It's got three settings and it's got a little flashlight on the front. I love this, it's a pair of them so there's two. I only have one of them here. The other one is down in the, in the, by the furnace. But these things are great, awesome to have, rechargeable. I tell a lot of these, these, this is one of my favorite lights, one of my favorite products, the work light. It gives tremendous, and it's under 15 bucks for two of them, okay? It's two lights, rechargeable, okay? USB rechargeable, never have to worry about batteries ever again and it's magnetic. It checks all the boxes. This thing is a great gift. It's going to make somebody go crazy.  And that's what this prime, you know, pre-early deal day is all about, is about you buying early Christmas gifts. Can you believe it? It's freaking, it's October. But that's what prime day is for and that's what Amazon's trying to do is trying to get shopping going and trying to, hey, we got another follower. We got another follower. Thank you to Christina. Thank you. Appreciate it. Appreciate the follower. We're gonna, I'll tell you what we're gonna do. We're gonna turn up some music. We're gonna go over here and we're gonna hang the curtains. We're gonna have a good time. Thank you for following. I appreciate that. That's really good stuff. Now I gotta go all the way up here to turn it off. And Christina, hey, thanks for the welcome. Yeah, thank you, Christina. Thank you for following. We're gonna turn the music down, but we're gonna leave it on. We're gonna turn it down. We're just gonna leave it going in the background because I like to have a little bit of something going there, right? What do you think of that? Is that too loud? Thanks for the welcome. You're welcome. You're welcome. You're welcome and of course you're welcome. I normally go live Tuesdays eight o'clock. Of course, it's prime day so I've been going live a few extra times to the past couple of days, but every Tuesday eight o'clock you'll see me go live and I usually talk about side hustles about ways people make money on the side, ways people make money online, you know, people use their YouTube channel, people use their Instagram, their TikTok, you know, some people are using their social media to take pictures of the food and other people are using their social media to earn passive income, side income, and you know, that's the American dream. The American dream, the new American dream, is a passive income, right? Passive income, making money while you sleep. It's the new American dream. Do you believe that you can make money while you sleep? You can, okay, and I'll give you a perfect example. So you write a book. You write a book, right? You write the book, you send it out to the publisher, the publisher puts it out on Amazon or Banjan Noble or wherever bookstores are, and you get royalty checks. You've written the book, but you're going to get checks over and over again as you know, every quarter or however they work it out, right? That's passive income. So don't tell me there's no such thing as passive income. You do something today, you put forth an activity today, and that activity that you did today has the potential to earn you income over and over and over again in the future. This month, year from now, two years from now, five years from now, 10 years from now, you're still getting income from that activity that you did way back then. So what else could you do that would be passive income, right? What do you think? Social media? YouTube channel. YouTube videos are the number one passive income right now, in my opinion, because you make a video, right, and you've cloned yourself. You just made a video and you put it on the internet, and now that video has the potential to be watched over and over again, right? Today, tomorrow, a year from now, five years from now, 10 years from now, if it's still relevant, it can be searched for and watched. YouTube's a search engine, right? And there's ways to monetize that view. Actually, there's many ways to monetize that view, and that's how people make money on the size. So you spend three to five years building a YouTube channel. You put out one to two videos a week, right? It doesn't really take that much to do that, you know, one to two videos a week, and after five years, you have like 500 videos that are out there. It's your clone army. They're out there on the internet working for you, driving traffic to offers for you, so you can earn income, and that's passive income. You could be at the beach, you could be sleeping, you could be at the kids game, you could be anywhere you want to be on vacation, and these videos are out there working for you 24-7, right? And after the three to five years, after you've built this, now you do one video a week, and it's, and that's all you have to do, and it's passive income. And pretty soon these things start build, start paying your monthly expenses, your car payment, your insurance, your mortgage, okay?  The next thing in the stream is the angry orange, okay? And of course, that's the new American dream is passive income. So the American dream was everybody deserves a house, everybody deserves a house. The American dream was everybody deserves a living wage. The American dream was, everybody deserves a 40-hour safe work environment. The American dream is now passive income, making money while you sleep, okay? That's what that's what the American dream is, that's what this generation wants to do less work for more money. Who wouldn't want that, right? But it's possible today with the internet, it's crazy. But this flashlight's really good. The next thing is the angry orange. It's another thing that's on special today.  It's made with real orange oil, smells like heaven, works like hell, industrial strength pet odor eliminator, 24 ounce. I've been using this for a year. They started, they sent it to me last October. It was one of the first products I got, and I get one every two weeks sent to me on Amazon because it's that good. It's industrial strength, it's orange, it smells great, and it works really good.  Angry orange odor eliminator. I would highly recommend it, again, it was sent to me to check out for free. So the first one got for free, but I've been buying it every two weeks for a year now, and it's really, really, you know, you've got the nature stuff, you got the enzyme stuff, you got all that other stuff that's pretty expensive stuff, but this blows it all away as far as the smell, and absorbing the smell of the urine that, and getting rid of it, it really is good, really is good. I can't recommend it enough, right? How's that music? Too loud? Angry orange also has the blue light, the blue light special. So it's, it's the stain spotter, stain snipers, the stain sniper.   This is a great thing. I used to be a superintendent for apartment complexes, I used to have to do inspections, and I used to take out the black light and look, because I'd have to deduct your security if you had pet stains, because we had the shampoo to run, okay? So, or we might have to change the road completely depending on how bad it was, but yeah, black light works really well, I know it does, okay?  It's on sale, and I think it's like 20% off, 13% off, whatever it is, but this is a good little item, and it's a small, most of them are big and bulky, and they're expensive, these, you know, black lights, or they're actually a UV flashlight, it's a UV flashlight, okay? It's pretty good stuff, works really well, I know it works, because I, like I said, it was my profession to do it for a while, all right? The new American dream we're talking about, right? Passive income, okay? Is it real, okay?  Is it really, is it really different? The power practical candle lighter, where is that thing? Where is that sucker? Here it is, this thing is great. If you have a candle enthusiast on your Christmas list, okay, someone that you always buy a candle for, you're always buying candles for this aunt, or that teacher, or whatever, this thing is pretty cool.  What's the biggest problem that people have when they're, when they have candles, these lighters, they run out of gas, right? So this thing is USB chargeable, so it's never going to run out of gas, you always have it ready to go. One, two, three, you turn it on, indicator says it's on, you got, take this off, it's got a protector, and it's got little electrodes there, and it gives an electric shock to light the candle. So I'm going to try and do this where you can see it lights the candle, okay? So if I, you can see it on there, it's like, it's like Tesla, you know? So, and it never runs out of gas, and it's rechargeable USB right down there, you know, it comes with the USB cord, and one, two, three, you turn it off, and you put the cover back on it, and this thing, I haven't charged this yet, I've had this, I've had this almost since Thanksgiving, last Thanksgiving, so it's been a year, and I haven't had to recharge it once. I don't use it all that much, we get a lot of candles around the holidays, not so much in the summertime, but yeah in the holidays, because you know, sometime you get the windows open more, but yeah, this is an excellent gift, put this in your in your cart, because you know you're going to find somebody that you're going to want to get this for, because, now hey, we got some people in the talking in the chat. Hi, Christina is very happy, and agrees with everything I'm saying, and Richard from San Diego, so I thought it would double as a tager, but I'm afraid to use it on myself, but I think it would, it's like a shock stick, right? Really, that's what it is, it's like so I mean, you know, go pride your sister, I guess, you know, whatever, don't don't do it to your dog, please, but um, passive income is real, and once you start setting up these passive income, so your YouTube channel, you know those those ads that play on the video, and that you skip after three seconds, you skip them, right, so they get paid, or I get paid, revenue from those ads every month, okay, so they get they get revenue from that, all right, that's that's a check every month from that, and then they get affiliate checks for affiliate marketing, they put links into their descriptions of the video that drives traffic to offers, people click the links and go to the offers, make purchases, they get commissions, and they could be, they could have five, ten different income streams just doing that with different links, right, and you know every time you need some money, you just start a new one, and you just, and you build it up a little bit, and you let it go, it's not that easy, but it's not hard either, you know, it's not hard either, you know, right now I've got three that are working for me, and you know, you get the ball rolling, and you get it going, and you let it go, and and you start trying to do something else, and then, so one is taking care of the mortgage, one is taking care of the car payment, one is taking care of your insurance, and you get to relax a little better once you know that you have income coming in, that you don't have to worry about, that's, that's um, what do they say, if, if, if you can't figure out a way to make money and sleep, you're going to work till you die, right, and and that's the truth, selfie stick, the text law 48 in selfie stick, this is my favorite thing, sent to me for free, I use it all the time, I put an old phone in here so you get a good feel of what it looks like, so you put the selfie stick, you put the phone in like that, right, it's got the remote control here that you bluetooth to the phone, and what I really like about this thing is that this is a clamp, screwed down clamp, right, it's not a spring-loaded thing that snaps down, and sometimes the phone's going to go flying, right, so you put that on there, and you know, wherever you put this, it stops, and you don't have to tighten it, you don't have to use, you know, hand screw it and everything get it tight, wherever you put it, you know, you want to do a selfie, you're in a group of people, and I've done this just the other day, and all of a sudden, everybody's not in the picture, and you just push it out, and then all of a sudden, now everybody's in the picture, right, pretty cool, uh, thing, and it's also doubles as a tripod, this comes out, and goes, it'll sit as a tripod, right, and the remote control pops out of the cradle, right, comes out of the cradle now, you can set up the tripod, and you can set up the phone, camera, and take pictures of yourself, uh, Christmas morning, you open up the gifts, you're with the family, the fathers, and the gifts, everybody's in the picture, you don't have to have somebody taking the picture, not in the family photos anymore, you can set up the camera, and take pictures with the remote control, it's crazy, I mean, this is technology, and then you don't lose the remote control, because you stick it right back in the cradle in here, right, and there, it's always there, and it's USB rechargeable, no batteries that you need to worry about, and that's another thing that I've never had to recharge it, I use it all the time, and I've never had to recharge it, um, yeah, so there's a lot of good things about this, what makes it one of my favorite items, uh, so even if you're not a content creator, uh, a YouTuber or something like that, that's something you still would like to for, you know, your family photos, your holiday photos, your birthday photos, this way everybody can be in the picture, right, you can either take the selfies like I did the other day, or you can set it up on the tripod and take pictures that way too, um, for sure, for sure, I like that, I'm gonna, I'm gonna highlight double as a taser, because that's pretty funny, um, one day I'll try it out, I'll get the nerve to try it out, and I'll let you know, Rich, all right, I'll let you know, so we're going to move on to the catchy indoor insect catcher, this thing is pretty cool, where is it, it's down here, this is an amazon bestseller too, it's an amazon bestseller, pretty, pretty cool item, um, no pesticides, it's gonna catch your flying insects, your natural mosquitoes, you know, set it up in the dark corner of the house, of the room, where patio or wherever, it's got a glue board in the bottom, okay, you open it up, you put the glue board in the bottom, and it's got a blue light on the top, that attracts them, so the blue light attracts them, they fly in to the blue light, and there's a fan in here that sucks them down into the glue board, no pesticides, it's got a light, low hum, it's not very loud, and uh, you know, so you can see it sucks them right down in there, and uh, they can't get out, it's great, and it works really good, I've got two of these, one of them I got up by the camper, and uh, we've got it in the screened area of the camper, and it works really well, you keep it, you don't want to keep it in the bright area because the blue light won't work as well, you put it in a dark corner, dark area, and the blue light will attract them right away, they love the blue light, and it's catchy insect, uh, catcher, insect trap, and um, again no pesticides, that's what people want today, they don't want to pesticides, they don't want to deal with sprays, people are allergic, people are, you know, this stuff's going to kill you, and you find out 20 years from now that that stuff is going to kill you, I use all essential oils, I'm a pest control technician to my day job, and uh, I use all essential oils and natural, everything, everything natural we can use, I use, uh, hey, drop it down, all right, so the vibe percussion massager, I use this thing all the time too, I got it over here, they sent this to me for free, and I had my own massager that I used, um, that I liked, and uh, so they sent me this thing, and I says, ah, you know, who really needs a cordless massager, right? I mean, are you really like running around the neighborhood needing a cordless massager, but this, but this is cool, comes in a nice little case, all right, and it's the percussion massager, all right, pretty cool, um, you can push this button and move this this way, or this way, and I use this on my neck and shoulders, I use it on my thighs, and it gets into the muscles so they don't cramp up, and it's been working really well for me, and uh, highly recommended, I use it every day, every day I use it, and you know, it comes with two batteries, it comes with two batteries, if you want to take it to the gym, it's a nice little case, hey, you can take it to the gym, you know, um, but that's the vibe of percussion massager, and I really get in, and it really gets the muscles, the knots that are in the muscles, and it gets the oxygen flowing, gets it through there, so that you don't cramp up, okay, um, pretty cool massager, definitely, definitely get one, uh, if you're working out, or you have a physical job, you do a lot of walking, you know, you know how your legs can feel it at the end of the day, it's like walking on air after you, after you massage your legs with that thing, okay, um, gear light, they sent me a bunch of lights for free, and this thing's pretty cool, I've been using it for about two weeks now at work, they send everything in a set of two, and these are metal case, they're not cheap plastic, okay, um, the flashlights are pen lights, they're very bright, um, they have the the clip for your pocket, so I clip this in my pocket, I carry it with me everywhere, so now everywhere I need a flashlight, I have one, I don't have to go back to my truck, I don't have to like look in the drawer, have it, I always have it on me, whenever I'm doing stuff around to my pocket, they're pretty cool, and a very durable light, and what I went out and did, I went out and bought rechargeable AAA batteries, so that I would always have rechargeable batteries, I always have battery power, because this takes two AAA batteries each, okay, but I mean, you can't beat it, you need a flashlight for in a pinch, and I keep what, like I said, I keep one of these in my pocket now at work all the time, um, great gift, okay, you know, guys like these kind of stuff, and the fact that it's metal, right, that will make them happy, the fact that it fits in this pocket, you know, that's, we like to have stuff on us all the time, you know, a knife, a flashlight, you know, like different gimmicks, whatever, stuff, you know, depending on what you do, you know, everybody has something on them that they like to have, some special tool, or whatever, um, flashlights are really important to have, okay, so that's the gear light, uh, pen light, okay, the S100, and it comes in a set of two, it's crazy they come in a set of two, they also come, this also comes in a set of two, the gear light head lamp, um, the good thing about the headlamp, um, okay, it's starting to get dark early, people are going jogging, and you put this on, and you can go jogging, and if you hold the button a long time, that the red light goes on, so you're not offending people with a bright light, but they can tell that you're there, right, and if you can also put it where it's blinking, right, and then you can have the regular light on, and then you can also have that blinking, so like if you're riding your bike or whatever, right, um, and you have your hands free, and you also, you can, you can angle it down, so you can have it where your hands are, so you can see what you're doing, uh, very good idea to have, you know, so you can have your hands free to do something, because one of your hands is holding the flashlight, you need two hands to work, so you know whether you're working on the car, the furnace, or just outside around the house, you know, it's starting to get dark early, and uh, it's nice to have a little headlamp to go around, and, you know, pick up whatever, do whatever you're doing around the house, walking the dog, you know, walking the dog, putting the red light on.  That'd be pretty sad, and it comes in a set of two, and it's crazy, everything comes in a set of two. Um, do-do-do-do-do-do, sorry, I just needed a breath for a second, I think I was talking too fast, but shopper-tainment, we, we, we, we, we, uh, touched on it at the beginning, shopper-tainment, what is shopper-tainment? That's what Amazon is going for, it's shopping, but it's really entertainment, like, do you find shopping entertaining? Do you think it's entertainment? Some people watch TV, some people watch sports, some people play games, some people play sports, some people have activities, some people have hobbies, some people go shopping, right? I mean, it's, it's, it's, it's, it's an activity that people do for entertainment and enjoyment, okay? So that's what we're trying to do here, shopper-tainment, we're trying to, uh, get you to come in, come in, come on, come in, get closer, right? And if you have questions on any of the stuff in the carousel, uh, you can ask questions in real time and, and, and we can influence you into making buying decisions, okay? And you can say, hey, he's right, I like that, or hey, maybe I should get the other one, that this doesn't have what I need, you know, it's not all about buying what I'm selling, it's letting you know what, what you need, right? So that's the light, uh, I need to use this one, this is the Azor, Azoral, Azoral resistance bands, okay? It comes in a pack because all the different colors, all the different resistances, it comes with a, a thing to put under the door, um, you know, I really need to get in, get into this and start doing this work, and I've been saying it now for two weeks, um, but it has all, it has the thing for the all the exercises, so you know what you're doing, and if you want to add tension, you can add more bands, you know, and it gives you all the exercises and how to use it on the door, on the top of the door, on the bottom of the door, you know, how to use it with chairs and, I mean, everything, everything you need is in here to be in tip top shape, low impact workout, uh, that's on the $20, you have a whole gym in the bag, okay, everything you need right here, so you're going to go traveling or whatever, you're going to be in a hotel room, you can use this, I'm going to get started and get started doing this, hopefully this weekend, get started, set up, I gotta find a place to really do it and get set up, where, uh, you know, time and a place, there's a time and a place for everything, right? We just got to figure out where that is, and right now this is on sale 35% off, okay, so this is what we're talking about as far as prime day deals, 35% off, it's not a 10% or a 12% because that's, you can get that any day, we're talking between 30 and 50% off we're looking for, right?  Um, all right, a little, a little cuckoo, all right, so there we go, I needed a little, a little jarring, so another gift idea that I have in here is from Mixology and Craft, Mixology and Craft is a pretty cool company, if you have your boss or an uncle or your father or somebody that likes scotch, somebody who's into good high top shelf drinking, right?  That's where these whiskey stones come involved, the Mixology and Craft whiskey chilling stones, okay? Um, there's six stones, they're made a natural machine polished granite, okay, and it has a dark pine wood tray for easy storage in the, in the freezer, now, okay, take it out. Now, a pretty cool little gift item, okay, says Mixology and Craft on there, so it's got that little, you know, sense of, of, uh, club, you know, top shelf, and these are granite stones, right, polished, and you put these in the freezer and they drop these in their drinks, so there's six of them, so I guess you could put two in each drink, so you got three drinks there, and right, three drinks worth, and it keeps the whiskey cold without watering it down, okay, and you keep this in your freezer, you know, keep it on the bar, wherever you are, and, um, you know, it's a nice little gift for somebody on your, on your gift list that's into Scotch and, and, uh, and doesn't want their drink to get watered down, okay, most, most people who are into drinking top shelf booze don't want their stuff watered down, this is what you got to get for them, this is a great gift, and of course, look at the price, you're talking under $10 for this, and, and whoever you give this to is going to be like, that was real thoughtful, that was a great gift, put this in your cart right now, save it for later, you'll find someone that you want to give this to, if you haven't already thought of somebody saying, hey, that Uncle Charlie would love that, he would, he would really love that with, with his crown royal that he's always drinking at the Thanksgiving table, and then he falls over, right, right, um, mixology and craft, okay, and we got something else from mixology and craft coming up, and it's the, the bartender kit, this thing is pretty cool, the, I don't know if I haven't got the space to pull it out here, I, when I'm in the other studio, I pull it out all the way, that's what she said, um, what do you call it? It's got everything you need for your back bar, okay, so if you have one of those bars in your basement, or in your garage or something like that, or you know somebody that does, that's into drinking, into bartending and all that kind of stuff, it's got the shaker, it's got the ice cream, it's got the double shot thing, it's got this thing, it's got the posipores, it's got the spoon, it's got this masher, and it's got, it's got the tumbler, so you can make your uh, you know, you see them all all the time shaking it like that, you know, and you can make, make drinks and, and it's got your can opener, your bottle opener, your corkscrew, it's got your, your, your stirrer, your stirrer for cocktails, and the posipores, I don't know if you knew what I meant when I said posipores, but these things, you go into the top of the bottle of the, of the booze, and when you turn it over, it, it measures out an exact shot, so you don't have to measure it in a shot glass, you just go like that and shoot, and it puts out an exact shot, pretty cool, um, this is a great gift, and another thing that's a great gift, and I mean it's a little more than the element, this is 58, what, 58% off, okay, 58% off, I think you should put this in your cart right now, because you're gonna find somebody you want to give this to, for sure, okay, um, for sure, can I, can I close it, okay, do what you love best, it's 10 pieces, bartender kit with the stand, I didn't pull the stand out, the stand is really nice, and everything fits in the stand, right, there's the stand right there, and everything fits in it, it fits in it, all got all the little holes and all little things in there, and it's got everything you need, everything you need right there, that's a cool item, okay, now, um, for sure, if you've got someone on your gift list that's into drinking, those two items are what you want to get for them, then, I mean that's 58% off for the bartender kit, I mean, and it's that's something that's gonna go on the back bar, and he may not ever use it, it's just, it's just decoration, it's something that's cool, it's nice, you know, it's something that he wouldn't probably buy for himself, you know, and it'll be up there, and he'll love it, he'll love it, okay, the tiki toss ring game, this thing is crazy, I got it over here, um, again, a gift for your boss, a gift for somebody that has a, a, a man cave, right, somebody has one of those kind of rooms or an office, right, it's uh, something that when you're bored, it'll take out your frustrations, I'm not going to take it out of the box, but it's a ring on a string and a hook, and you just, you throw the ring until you get it on the hook, and it, I, when I was doing the video for this item, it took me a half an hour to get, to get it on the hook, I was, it was, it was not easy, so I mean it's not something that's, it's not, uh, it's not an easy thing to do, uh, but if you master it, you can, uh, you can, you can get your friends and, and make them, make them feel stupid because they won't be able to do it, you will be, but of course you know, it's a good gift, it's fun for the whole, it's fun for the whole family, um, I think the dog's gonna stop barking, I think someone's getting home, don't worry about it, we're gonna get through it, um, yeah, we'll let the dog bark, so the tiki toss is pretty cool item and a good gift for anybody, um, boss, anybody would in an office, anybody would a man cave, that kind of stuff, right? Um, passive income, the new American dream, right, that's what I'm saying, the new American dream, remember the American dream was, uh, everybody, everybody deserves a house, right, that was the American dream, home ownership was the American dream, then, uh, coming to America, if the world were to come, freedom, that was the American dream, living a better life, was the American dream, so, but now everybody has a better life, even people who are the lower end of society have a better life than they did 20 years ago, um, and where am I going with that, I don't know, um, but the American dream, now the American dream, people don't want to work hard for their money, people want to work less and make more, right, so passive income, the idea of passive income, everybody goes what, what was that, what did you mean, what did you mean when you said passive income, I didn't really get that, what did you mean, I don't, don't have to work ever again, and you know, that's what people say, and you know, people that say there's no such thing as passive income, there's no such thing as never having to do anything, okay, and just making money, that's ridiculous, okay, and if that's what you think we mean by passive income, that's not what we mean, we mean you, you put forth an effort today, right, you put forth an effort, you do something constructive today, and that activity has the potential to earn you money over and over again in the future, right, like again, writing a book, right, you write the book one time and you get royalty checks, you know, an actor in a TV show, he gets royalty checks every time the TV show goes on, he gets a, he gets a check, but he only acted in the show one time, that one episode, but every time that episode is, he gets paid, that's residual income, okay, it's real, it's not fake, it's not pie in the sky, it's a real thing, people do, people, it's real, people, it's real, right, it, you know, people can make passive income, people can make money when they sleep, and I think it was Warren Buffett that said, you know, if you don't find a way to make money when you sleep, you're gonna work till you die, right, so you gotta have your money working for you with investments is what he was talking about, right, but you know, passive income now is, your social media streams can be passive income, you can, you can put out content on passive, on, on the internet, right, and that internet and that, and that content has the potential to be searched and seen, and your potential to earn income off that content forever, it's crazy stuff, um, the find dine 24 piece set, okay, have it over here, they, you know, it used to be Tupperware, everybody was in the Tupperware but now, you know, plastic is out, everybody's into, uh, glass, okay, so these are really cool little glass containers, they have the four snaps on them, there's all different kinds of sizes, they have this little one, cute one here, and they have, you know, mid-size, and they have the big one, and then they have the, you know, like the casserole size one, uh, and I think they even have the bigger one, and they have sandwich size ones, okay, um, and they're air tight, they're glass, they can fit, you know, you can fit them in the, in the, in your lunch bag, we take them to work in school, we make sandwiches and put them in there, sandwich one, on the snack one, these things are great, the plastic top, glass on the side, okay, and it snaps down in, and uh, keeps everything fresh, perfect, great stuff, okay, and it's on sale, uh, 12 percent, it's on sale, prime day deal, prime day deal 12 percent off, um, again, everybody's looking for the glassware, they're not looking for the top of where to play, and the glass cleans better, last letter you could put in the dishwasher, much better, much better for you, you know, they say that plastic now, when you put in the microwave releases, uh, some kind of toxin or something, I don't know, I don't know at all, now of course it's, it's playoff baseball, but we're getting close to basketball season, and I wanted to show you this, uh, this is the glow in the dark basketball, and they also have, um, they also have a football, and they have, they have all different sports, okay, but this is the, uh, the glow city, glow in the dark basketball okay, we're gonna not, we're gonna share it over here, oh yeah, okay, I'm still trying to figure this out, um, so glow in the dark basketball, now there's no on or off a switch in that, it's got three batteries, it comes with three extra batteries, it pops out and pops in there, um, and every time you hit the ball, you pass it, it bounces on the ground, that's what activates the light, so every time it's touched and hit and passed, the light stays on, um, and you saw it, it's an excellent little thing there, perfect, and it's on sale, um, I mean, it's a legitimate basketball, it's a real basketball, it's got a real feel of a basketball, it's the right size, it's the right weight, everything, it just glows in the dark, now my kids, they would out, taking free shots, free throws, like, until nine o'clock at night in the dark, I wish they would have had this ball back then, but, uh, you could be out there shooting all night long with the glow in the dark ball, right, pretty cool, imagine, and the football too, the football, uh, you could play at night with the football, if you, if you search it, they got the football, they got the basketball, uh, I'm sure they got like a baseball, softball or something too, um, glow in the dark basketball, pretty cool item, right, and don't you think that's a cool item? Oh, we got a follower, Sherry started following, thanks Sherry, appreciate that, we're going to hang the curtains and we'll give you, we'll give you the VIP treatment, uh, right here, and we hang the curtains, and thank you for following, okay, there's great stuff, we love it when people follow, um, it's great, great, great, uh, uh, metrics for the YouTube, uh, the YouTube for the Amazon algorithm, um, they, they think you like what I'm doing here, when that's pretty cool, I'm, um, I'm very happy that you're happy, and if you had any questions, be free, feel free to ask them in the, in the chat, love to, love to answer your questions, um, we had the glow in the dark basketball, now we have the adjustable basketball hoop, um, which is also, uh, just a share away, let me go over here, adjustable basketball hoop, we want to play basketball, we want to play basketball, all right, so we're gonna show on the stream, there we go, no, that's not it, it's this one, there we go, I'll figure this out eventually, so this is the, the adjustable basketball hoop, right, and, uh, of course everybody knows how this works, you, you use the pole and you, and you adjust it to the height for if you've got a younger kids or older kids, it gets up to regulation, basketball, I don't care if you're small, I don't care if you're, it's the best activity you could have, get yourself a basketball hoop, play with your kids all the time, don't worry about going pro, don't worry about playing in school, don't worry about, just get it, it's the best activity you could have, it's going to keep them active all year long, my kids were out shooting in the snow, in the rain, the cold, didn't matter, they were out there all year long, okay, and uh, it keeps them in shape, okay, it keeps them in shape, basketball is a great sport, uh, I love more, I love baseball, but basketball as far as playing basketball, uh, you don't let it discourage you from playing if you're short, we used to play horse, which is a shooting game, where you would take shots and everybody had to take the same shot and if you missed it you got a letter and you would spell out horse, if every time you missed it you would get a letter, so it didn't matter if you were short or tall, you could play that game and, uh, you could play that game and, uh, and, and win, if it only had to do would be a good shot and of course the more you played the better shot, the better you got at shooting, um, and that was the way it was, right, back then, but playing basketball, uh, will keep you active, will keep you in shape, uh, and it'll get you to play with your kids out in the yard, out in the driveway or wherever you play, you know, wherever you do it, but, uh, without a doubt, I 100% endorse playing basketball and getting it for your kids, boys, girls, fat, skinny, tall, short, everybody, everybody, play basketball, um, and of course I don't, I'm not on the delusions because when you get, when you stop playing basketball as a, as a young kid and there's like 40 kids on the team, everybody's running around there through the basketball and then as they get older, only five kids play, right, on the team, maybe you have 10 kids on the team, but five kids are on the court, five kids, so it, it, you know, don't have like any dreams of being a superstar unless you're good, unless you're tall and you're good, but I mean just five people around the court, that's it, so, but play in the yard, play at, at the park, play at the gym, play at the Y, play everywhere you can play, because it's fun, not because you're gonna play for school, I mean if you can do it, I, I absolutely do it, but I mean don't let it stop you from not doing it, because you don't think you can make the school team, because it's the best activity, you're gonna have a lot of fun doing it. Um, hey, Boston Butterflies here and we're gonna highlight her comment right now, she said hello, we're here, it's uh, what time is it? It's 8 24, I went on early at 7 30, and of course it's Wednesday, not Tuesday, I usually go live Tuesdays eight o'clock, but with the Prime Day, I've been live a few extra times this week, and um, yeah, so, but if you like what you see, every Tuesday eight o'clock, I'll be live on Amazon, okay, so come on down, check it out, we may or may not be using this software, I got another couple of days on the free trial, I'm still deciding whether I like it or not, there's things I like about it, there's things I don't like about it, and I don't, I tried to contact the guy today and he deleted my, I made a video of me using the software what I liked and what I didn't like, and I sent it to the group and they, they didn't approve it, so I thought that was kind of funny, um, we're back to the Detwist Coffee to end of the stream, okay, we're at the end of the stream of Detwist Coffee, world's strongest coffee, never better, okay, on the Java Junkie, I love coffee, I drink all kinds of bad coffee all day long, but Detwist Coffee is the best coffee, everybody wants the strongest this, the strongest that, the most caffeine, but it's bitter, it tastes terrible, right, it tastes horrible, but if you have Detwist, you don't have to worry about it, because it's nice and smooth every time, every time never bitter, so we were talking about shoppertainment, okay, what is shoppertainment, you know, is shopping entertainment, do you go shopping for fun or do you go shopping for necessity, um, people do different things for fun, for different activities, some people play sports, some people, you know, watch movies, some people, you know, have an activity or a hobby or a craft, right, some people go shopping, right, some people find enjoyment in shopping, it's shoppertainment, and that's what the live shopping is all about, okay, it's shoppertainment, you're supposed to be, uh, entertained while you go shopping, and you're supposed to be able to answer your questions and, and help you make buying decisions by being down in the carousel, being down on the product pages, where you can click and ask a question, so people that are live, right, and it's all the rage, uh, it's like, it's taken off, because I'll tell you what, Walmart's trying to do it, TikTok is now trying to do it, now if TikTok does it's, it's, it's really big in China right now, and if TikTok starts doing it over here, they'll be, they'll give Amazon a run for their money because TikTok's got China behind them, this is China, he's Chinese, I'm assuming that it's got a Chinese company, they'll, they'll, they'll be pumping it out like crazy on TikTok, so Amazon's got to watch what they do and make sure that they, they're doing everything right, because I think TikTok's going to be a competitor for them, and of course Walmart and, and, and whatever other retailers have live shopping, there's different places that do it, um, for sure, um, but we didn't give away any gift cards this week, because the amount of streams I did, I did like seven streams all together between the two days, so I wasn't going to give gift cards every time, but Tuesday's eight o'clock, when I go live Tuesday's eight o'clock, we give away a gift card at the end of the, of the stream, so come on by and check that out, um, and sometimes I have you do things like sign up for my mailing list or just check, you know, click some buttons and check some things, do a little scavenger hunt through Amazon, um, to help with the algorithm, and again, I'm transparent about it, I want you to click because it'll, it gets the juices flowing on Amazon, they say, hey, they like that, they like that, they like that, they click that, um, maybe we should show it to more people, you know, so we want to get the juices flowing, all right, we're going to go back to the beginning because the first couple of things are, this works, uh, vacuum cleaner, I threw it over there, but, uh, look at the price, you can't beat that price, it's an Amazon best seller, okay, it's an Amazon best seller, it's 65% off, and it's under $15 for a vacuum cleaner that's got a HEPA filter, a 16-foot cord, uh, it's got a crevice tool, a hose, a brush, it's got all the stuff, it's got a case, it's, it's worth way more than that, I mean, really, it's, it really is, um, I would put that in the cart right now, if you have somebody that's a car enthusiast or somebody likes their car clean all the time, um, or, you know, somebody who's dirty and needs one of these, everybody needs one of these, all right, the Cheerios are in the backseat or whatever, you know, goldfish, whatever, you know, crumbs, and uh, this is what you need for that, all right, this works, of course, the digital camera, my favorite camera, we're gonna end on this, because this is my favorite camera, um, if you want to start doing content creation, if you want to start earning passive income and you're looking to get equipment, of course, start with your phone, you can start with your phone, you don't have to buy anything, everything you need to get started is in your pocket, in your phone, right, you can start making videos, you can use natural light from the sun, you can use a window and get natural light in and do videos from your phone and get started doing content, okay, but then when you want to upgrade, you want to, you're talking about getting a camera, you're saying, you know, these cameras are between five and a thousand dollars, right, is this one worth it, being that it's so cheap, and I'm telling you it is, because I use this all the time and, and if I go live later, I'll be using this one, I'm not sure if I'm going to go live again, but I'll be using this one in the other studio, and uh, you wouldn't know that it was a hundred dollar camera or a five hundred dollar camera, you know, and it does everything that the other one does, it doesn't have anti-stabilization, it doesn't have Bluetooth, it doesn't have all the, all the, you know, perfect, but this is enough to get started, and then once you know what you're doing, and you flip this, and you can turn this, and you know without looking that, you know, okay, I'm on video, I'm on photo, I'm on slow motion, right, then upgrade to the next camera, get the, get yourself a gift and upgrade, okay, but start out small, start out with this, okay, um, that's it for me today, we're gonna, we're gonna take a break, I may go live later, like 10 o'clock, I'm not sure, uh, we'll see what go, how it goes, uh, if I am, stop by, say hello, otherwise, come by Tuesday, right, Tuesday, 8 p.m. live, every Tuesday, 8 p.m. on Amazon, okay, um, it was great talking to you all, thank you for the guys that followed me, um, Sherry, Christina, thank you very much for following, and I hope to see you next Tuesday, uh, if you want to go to you didn't know.live, let me, let me put this up, if you go to you didn't know.live, uh, you can sign up for my mailing list on there, okay, and, and, and I'm not really great at it, keeping up with it, but I'm gonna try and send out emails with, uh, tips and tricks and things, and when I'm going live and, uh, you know, different things, uh, so sign up and you'll, you'll know more about me, my YouTube channel is there, you can check out the YouTube channel, it's called, uh, Side Hustle Shuffle, um, we look, we, uh, look for ways to make passive income and make money while we sleep, and it's a pretty cool thing, and, uh, I agree that everybody should have what it's the American Dream, okay, now how do I get rid of this, go up here, and I go there, okay, all right, I'm getting the hang of it, all right, and so now we're gonna turn this off, all right, and we're gonna turn this on,


You need a financial advisor with the freedom to focus on your specific needs. Whatever your goals, Reed Potter can create a game plan tailored to you. Call Reed at 4-3-2-0-7-7-7 at Pikeville, Kentucky to learn more. The Tug Valley Roadrunners Club will be holding their annual cause for pause, 5k slash 1 mile walk on Saturday, February 25th to raise money for the Animal Rescue Group Save Our Strays. This will be our 10th year of the event. And like I mentioned, we raise a lot of awareness and bring in donations from everything from food to beddings or just anything for our animals, which is mostly based on what focuses on cats and dogs. In addition to helping a good cause, runners will also be awarded medals and t-shirts. Yeah, there'll be t-shirts, finisher medals. There'll be some top overall awards for the top three, male and female. Also, the event is animal friendly, so you can bring your lovable pets, your animals, dogs, or cats, you know, and leashes. So it's always a good time to see all of them out there. The event will take place at Southern West Virginia Community and Technical College in Williamson and begins at 11am. Early online registration for the race is $25 and raises to $30 day of at the event. For more information, you can visit the Tug Valley Roadrunners Club Facebook page. For Mountain Top News, I'm Kelsey Dean.