Hi, hi everyone. This is Manthi here from the Cheese Collective. Of course, if you guys are talking about cheese, I was most excited to be a part of this. So thank you so much for having me you guys. Elizabeth and I connected, of course, over cheese, and we took it from there, and we have an amazing, amazing map that we want to share with you guys. Imagine an entire map of India with a plotting of every cheese maker, every cheese retailer. Oh, there it is. I mean, just look at that. That's us. That's us. That's Indians who are making cheese, who are selling cheese. And some of them are as new as a few months old and some of them are, you know, they started a couple of decades ago. So there's a lot of history on this map. And of course, there are a lot of cheeses that have been there with us since, since, you know, not just decades, but they've been there prehistoric indigenous Indian cheeses. So we have a good mix of everything we got together, we spoke to a bunch of people, we interviewed them, and we have collated all that information. And I'm going to now, you know, I'm going to let Elizabeth introduce you to a little bit about what Food Forward India does and, you know, how this map, this Google Earth actually works. And yes, Elizabeth, are you here? Yes, I am. Hi, hi everyone. Really great to be here and be here with you all to talk about this project that we did together with Mansi. So I'm Elizabeth and I am the assistant project manager at Food Forward India. And so Food Forward India is an initiative that's exploring and discovering food around India. And the main aim of what we do is basically we want to kind of broaden the narrative. And from the current stereotypes that we have that is called like Indian food. And our main work actually was supposed to be traveling around lots of field work, visiting different people in different places and learning about, learning about, I've seen cheeses, learning about cultures and traditions across India. And as you can see the pandemic happened and our explorations all became virtual. And so we decided to meet people, see if we can meet people virtually understand their homes through a series that we call the virtual escapes that you can find on our Instagram, and also put it into a digital media where we have a website launching soon which would be, enable people to, which would be an interactive space for people to kind of explore this journey of food with us. So how, what and why and how did we get to cheese. Well, nothing gets cheddar than this. I was told to use as many cheese funds as possible. And so cheese is actually may not be like the first thing we think about when we hear Indian food so maybe amul cheese and maybe paneer. But that list actually kind of stops there. But having a really rich culinary landscape that we do with our climatic zones that are similar to Europe. So I think that there are a lot of, you know, industrialist communities that out of necessity preserve food in all forms. So factors like these obviously are bound. You know, for us to create some of these delicious products from daddy, going way back like Mansi said you know to the Indus Valley civilization. Cultured butter, but cultured gateway before the Europeans are cultured butter. And so our curiosity is led us to curating the this modern timeline of cheese with with Mansi from the cheese collective that represents people producers and communities, who've kind of brought to life recognition of Indian Indian indigenous cheese. Why was this kind of like important for us to do. Well, it was important for us to do because, as I said before like the main aim of food forward India is to break these stereotypes of Indian cuisine and add more like complexity to the narrative of food. And these was one ingredient like you're going to hear Dr. Rolfson, who is story and journey is absolutely lovely and amazing. And it shows us how this one ingredient can showcase the diversity of products and techniques through the communities they represent, and we're able to see people places here their stories. This opens our mind to food culture and creates a kind of sense of inclusivity in these in these dialogues. And so, the first step for us was obviously to find a collaborator so we reached out to the wonderful Mansi Jasani, who is doing, she's she's like cheese queen with with all of her with with her curation of cheese her collective and and and also, and and also her, her vast knowledge of cheese so it was very exciting to learn that Mansi co authored the chapter in the Oxford companion to cheese on India, and this was this is again another culinary landmark. And so, together we called all code nerds, and we asked them about these different like significant memories that they had about cheese what what did cheese mean to them in their communities. What was that cheese origin story. When did this cheese origin story begin and how, how did they start. And what were the aha moments as they went through cheese. So we didn't just want to share these stories, randomly, but we wanted to create a way that if, if you were new to Indian cheese you could, you could maybe chronologically go along this timeline to learn even more about how these different cheese makers kind of came into place. We started as we called it a modern timeline so we started at Operation flood which was, which was around the time of the white revolution which cheese, dairy processing really took off in India because of the access milk supply. And, and so we tried to create an add in cheese makers as they started their journey and, and learn of their stories. And so I'm really excited today to be here because of also two people who really like brought together this, this, this journey for us, obviously Mansi who we collaborated with to make this possible. And Dr. Rawlifson who I said again who whose story really inspired us and help us think so much more outside of the box of what cheese was within the community.


So I wanted to kind of change it up for you all. I was looking back at some old emails trying to clear my email out of like junk emails and I came across this receipt for like over $1300 that I spent on items like equipment for a PA school and I was like what in the world like why did I spend so much money on this stuff and it's because it was that expensive and we were told that we needed it for PA school but I've realized that half of those things actually more than 90% of them I don't use in my day to day life as a trauma PA. So I wanted to kind of give you guys a little heads up and some tips on things that you should avoid buying brand new for PA school and you know just don't waste your money because it's a waste of money. So let's get into the video right now.  It's Madonna welcome back to my channel. Okay so like I said I was cleaning out my email I was looking at some stuff and I was like dang this is over $1300 this is ridiculous and I was poor at that time right like I was just struggling like trying to get into PA school pre-PA and I had to dish out this money to buy all of these this equipment. So I have something that I like absolutely use on a consistent basis in my job that is definitely well worth the money. So I'll show you guys that and if you guys haven't seen like my video from way back when I was in PA school and I was talking about all of my equipment that I use in PA school go check that video I'll leave a link for it in the description box and maybe like an end card right here but this this my litman okay this item right here this is imperative so I use this on a consistent basis oh some dust this has been up in my closet the box I don't know why I still have it but I use my litman cardiology stethoscope on a consistent basis in trauma because we have to listen to lungs and you know you're listening for breath sounds and all of these various different things when people come in as traumas into the trauma bay to see if they have a pneumo or I see if the og is in the right place or see if you know they're getting aerated correctly and the et tube is in the right place like the endotracheal tube that goes down into intubation so those are things that I'm consistently using my stethoscope for and just like on sometimes like day to day rounds you like listen to people's lungs and things like that uh when you're concerned so definitely not a waste okay absolutely buy this like you can splurge on it like mine was um purple like it has like a little like um what is it called like rainbowy like it's so pretty it's beautiful I love it so you can splurge on it it has my like little um engraving on it you know because it's gonna be with me forever hopefully so that's that but that I've been out of PA school and no in the three years that I've been out of PA school and um yeah it's it was a waste of time so I got them from we got them from like welch allen welch allen is um where we we were told to buy our items and they have good products they worked for me in PA school but look at this y'all look some scissors still in the bag never use this I've never used this it's still in the bag not not torn out at all okay um but yeah so we have some scissors um I don't know what this is I think these are like for the the airpiece oh no this so this is like the little bulb that you squeeze it attaches to like your otoscope and stuff so I will show you that but it comes it's a little bulb um eye and ear nose bulb okay so that's what that is okay never used it I didn't even use it in PA school which is what we bought it for the mallet for your reflexes okay so you can have like your check your reflexes never use this I think I may have used it like once in PA school but like look at this it's like it's still in great condition because I don't use it in my regular day-to-day work so waste of time you guys don't even like if you can get these things used from your upperclassmen a lot of them are not going to use it on their job their job is already going to have like half of these things the majority of these things the things that they actually need especially if they're working like in hospital or in um an office space that's already been set up like you're not going to be bringing your own stuff except for your stethoscope so don't even waste your time on that and your money I have all of these um little earpiece things to kind of look in your ear um so the thing is is that I do use these um I use these because my husband is like a fanatic about like cleaning his ear out and like you know coming because he can't hear or something like that so I use these to like look in his ear so actually I do use it outside of PA school but not for my job so if you have a husband like mine I guess sure go ahead and and get um the otoscope and and use that but if not then it's just get it used tuning for it and I know if you can hear it I'm trying to see if you can hear it in my thing but this is tuning for I can hear the buzzing you might be able to hear the buzzing in there but um I only use this for my like like that module in PA school and here's the other other one see if you guys can hear that I don't know other tuning fork um this is a measuring tape again these are all in this box that has been up in my closet that I have not used for a long time so measuring tape and this was like so you can kind of see like the panoramic like you use this to look and see the panoramic eye view okay so this was again from like Welsh Allen you um use this to do like the panoramic like a thomascope view but again as you can see like still everything is pretty much still in the box in the case not used so those are some of the things that I definitely don't use another thing that was expensive um that I went ahead and got like the cool one that I don't use at all is this my pediatric okay my pediatric blood pressure cup and my adult blood pressure cup which are in great condition um don't use it but uh you know what my mom is trying to start a little clinic um back home and so maybe I can donate these things to her because she can definitely use a blood pressure cuff but I've I used it only in that module in PA school I didn't even use it like when we were in the free clinic um or when I was on my rotations because again they had these there already so here it is great mint condition never been used and then the last thing okay that I use but I don't use like I said I use it for my husband because he is a fanatic when it comes to his ear but this Welsh Allen again which was the products that we were told to get and then this is my ophthalmoscope and otoscope so I don't know the last time I used my ophthalmoscope um now the thing is that um when my kids were like still young uh like my littlest when she was really young and she would get like got still got air infections so I actually used my otoscope then to kind of like test out my skills and also see if like yeah she had like any like fluid behind her eardrum that I could see um and I was able to see that so I used it then but you guys like I've never I've never used this otoscope ever again in my life like in since 2019 I have not used it um and then this is the I mean the ophthalmoscope and this is the otoscope right so like I said this is what I use on a consistent basis to look in aunt's ear um so that is it those are the items that I wasted my money on that I don't use um in my everyday work as a PA and so like I said pro tip for you guys if you can get it for a very like um reduced price from the upperclassmen that are no longer going to be using it that are graduating I suggest you do that there's usually some type of like come together meet and greet between the lower like the new classes that are coming in and the upperclassmen that are leaving or will be going into their second year so um if you are at that you know like ask around and say hey is there anything that I can buy or if you're paired up with a mentor something along those lines because honestly like spending $1,300 on these items that you're never going to use again or highly likely not going to use again it's it's not worth it like you can pay you know premium price for your stethoscope like a hundred couple hundred dollars but um apart from that all of these other items are a waste of your money so don't do it okay alright if you guys have any other questions for me please leave them in the comment section below don't forget to subscribe and like this video follow me on instagram at it on the pa and on instagram and get that's the university thank you so much for watching I will talk to you guys next time bye


Myself Sachin Deshmukh, working as an assistant professor in the Department of Civil Engineering of Vyalchand Institute of Technology, Swalapur. Today we are going to see and learn what is the Sepulity wear and how we can find out the discharge over this Sepulity wear. These are some photographs of Sepulity wear. According to this particular photograph, you will come to know this is a trapeze hurdle wear. Yes, this trapeze hurdle wear is called as a Sepulity wear. This is a sloping side, this is a horizontal bottom and again this is a sloping side. This is constructed in a channel. Here water is flowing over in the another photograph you can see. Water is flowing over this Sepulity wear and this top line it is called as a crest. What is the Sepulity wear? It is a particular type of trapeze hurdle wear or we can say it is a combination of a rectangular wear as well as triangular wear. See here if you can take this line vertical line this vertical line it becomes a rectangular and this sloping portion and this vertical line in between this triangular portion 1 and triangular portion 2 these are the triangular wear. So it is a combination of rectangular as well as triangular. Again we can say it is a particular type of trapeze hurdle wear where the sloping sides of which has an inclination of one horizontal to four vertical and this wear was invented by an Italian engineer Sepulity in 1887. As I told it is a combination of rectangular as well as triangular the discharge of rectangular and triangular is combined. The discharge over a rectangular wear it is 2 by 3 cd under root 2g lh raise to 3 by 2 where cd is coefficient of discharge l is length of the channel h is head and for triangular it is 8 by 15 cd under root 2g tan theta by 2 h raise to 5 by 2. Here length is not there that is length of the wear is not there here only angle is there so tan theta by 2 h raise to 5 by 2 particularly one thing comes in our mind what is a notch and wear actually notch is a thin plate and which is located or constructed in the channel. Either and rather we can say wear is in a big scale which we can construct in the canal sections big sections where we can find out the discharge through that canals and we have seen some notches in our laboratory to where we can find out the discharge in the given section of that particular small channels. Now see here the total discharge it is a combination of rectangular as well as triangular where cd 1 and cd 2 respectively these are the coefficient of discharges for rectangular as well as triangular. The purpose of slope obtained on side is to obtain and increase discharge through the triangular portion of the wear which otherwise would have been decreased due to the end contractions in the case of rectangular wear. See here the statement is for this one due to the sloping side the decrease in the discharge due to the end contraction is compensated by this triangular portion this and this triangular portion. So as in the case of trapezoidal wear here the superiority wear is also the discharge we can calculate as q 1 and q 2 that is rectangular as well as triangular this is with the end contraction this is the formula with the end contraction and with the triangular notch and from this if you can equate this you will get and theta by 2 is 1 by 4 put this value you will get this equation thus adding these two the discharge for the superiority wear is given by q is equal to 2 by 3 cd under root 2g l 0.2 h hs to 3 by 2 plus 2 by 15 when you are going to add 10 theta by 2 is 1 by 4 sloping side you will get 2 by 15 cd under root 2g hs to 5 by 2 you will get q is equal to 2 third cd under root 2g l hs to 3 by 2 equation number 1 and if you can put the values of this cd etc you will get q is equal to 1.86 l hs to 3 by 2. So by comparing equation 1 and 2 the value of coefficient of discharge for a superiority wear is obtained as 0.632 and equation 2 this one that is 1.86 l hs to 3 by 2 is applicable only if the velocity of approach is neglected so VA we can calculate that is neglected however if the velocity of approach that is VA is to be considered then the equation 1 this one the equation 1 this equation 1 becomes q is equal to 1.86 l h 1 raise to 3 by 2 minus h a raise to 3 by 2.  Now we will solve one problem on this particular superiority wear how it works how we can find out the discharge over this you see a water flows through a rectangular channel 1 meter wide and 0.5 meter deep and then over a sharp crystal superiority wear of crest length 0.6 meter if the water level in the channel is 0.2 to 5 meter above the wear crest calculate the discharge over the wear take coefficient of discharge as 0.6 and make correction for velocity of approach read the problem once again here if the velocity of approach is neglected first case then for a superiority wear q is equal to two-third cd under 2g l h raise to 3 by 2 if velocity of approach is taken into account again the formula is going to change so cd is given to you 0.6 length is given to you 0.6 meters head is 0.2 to 5 meter put these values put these values we will get 0.1135 meter cube per second now velocity of approach wear is equal to 0.1135 upon area you will get 0.2 to 7 meter per second then we can calculate h a which is nothing but wear score upon 2g it comes 0.2 to 6 meter and then find out h 1 h 1 and h 1 we required to find out when we are going to consider the velocity of approach h 1 is equal to h plus h a so h a is nothing but wear score upon 2g so for velocity of approach taken into consideration q is equal to 1.86 l into bracket h 1 raise to 3 by 2 minus h a raise to 3 by 2 put these values here also we will get 0.1153 meter cube per second here it is 0.1135 and here 0.1153 when velocity of approach is taken into account small increase we can observe over here when velocity of approach is taken into account this is the figure again for you are convinced is not wear trapezoidal wear discharge over this these are take a pause and just go through these questions these are the answers for these questions first dirty rectangular triangular and then go for trapezoidal wear these are the reference books for you you can find some more data from Google also you can find out some web series web on Google and just find go through this thank you.


As you have a logical mind is another mind which is completely different Now you can do telepathy. You can do telekinesis. These are divya manas At that stage it is very easy to develop that But it also brings immense suffering the body or this What you call is yourself? Evolves itself in many different stages Looking at this evolution in yoga. We see This has seven different stages or we say seven different bodies man has Seven different bodies need not necessarily mean actually seven different bodies. These are seven different stages in which one grows From zero to seven up to seven years of age only the physical body grows This is tool Sharif or the grass bud Seven to fourteen another body which is called as Bhava Sharif the emotional development of the person happens from 14 to 21 next seven years The manasic Sharif or the mental body evolve that is when the intellect develops When intellect develops his interest to learn all these things will come But generally today modern society is limited only to these three states of the body the physical body the Emotional body and the mental body after that we are not seeking any development the next seven years are per Divya Manas as you have a logical mind is another mind which is completely different In yoga we avoid this fourth level of development because once your person goes into this he becomes miraculous Many many miracles start happening around him. What is there can be here. What is here can be there You know what is happening there these kind of things in yoga? We seal this route We don't allow people to go into Divya Manas because It is still mind. It may be Divya means It's a grand mind Mind on a much grander scale than that we know as mind is Once you enter this mind, you know everything, you know not everything but Then compared to other people you look like America once this happens People generally lose the next stage of development. Most people will not have The maturity to just push it aside and go ahead. They will always get entangled with this This is still a psychic state. Now you can do telepathy. You can do Telekinesis all these things. These are Divya Manas From 21 to 28 this mind can be easily developed. It's a natural process at that stage It is very easy to develop that point that kind of ability But people who are on the spiritual path should never seek that Because all that you will end up with is a higher level of the mind As it is mind is deceptive a higher mind is even more deceptive It gets you entangled in a much deeper way than the low mind. So we just keep that aside Nobody will seek the absolute once they come to contact with Divya Manas because it is so huge so vast so Miraculous, it feels like God. You don't need anything more. That's that's the kind of feeling that it creates but it also brings immense suffering as Normally a person who goes into Divya Manas after forty seven forty eight years of life Tremendous amount of suffering is brought about On the path of yoga, we are trying to bypass a few things and go always to complete emptiness total dissolution Because still then the job is not done once we approach spirituality as a science Then we are not looking for entertainment on the path Whatever little little things happen. We are only looking at it as stepping stone for something bigger that can happen We are never looking at it as a big entertainment and getting enamored with that. It is very very important Little people feel like this in meditation. They are killed and you find within two months. They're again down This is happening repeatedly because you get entertained Don't get entertained with what is happening. What is happening? The our thing is only to reach the goal Once a person has chosen the spiritual path The way he says the way he stands the way he eats the way he speaks the way he thinks and the way he lives Everything has to be spiritual See every aspect of our life has to become yoga every aspect of life has to become a process of growth This solar system human system is an ultimate machine 114 chakras in the system you can move them If you arrange it in a certain way You've become a full-fledged divine entity We don't allow people to go into divya manas Once you enter this mind, you know everything It is more attractive than anything that you know in your life all the Seven different chakras or in your feet There is a whole technology about how to hold the feet What you cannot achieve in years and years of sadhana you may achieve in a moment Your nervous system is capable of feeling How old the flowers are Every moment absolutely you're with that dimension, which is the basis of everything You


Hi, I'm Zor. Welcome to Unizor Education. This is the third lecture in a series of how trigonometric functions behave in case when the angle is one of the basic angles. We were talking about basic angles in a general lecture. When I introduced them, it's right in the beginning of the trigonometric course. Now, I would like to basically calculate what exactly are the values of different trigonometric functions when the angle is one of these basic values. Now, today's lecture is about tangent, and we do have lots of different basic angles. Obviously, I don't remember the value of tangent for all of them, but what I do suggest to you is to be able to derive these values from the coordinates of the points on the unit circle, which represent these basic values. So that's exactly how I approach this problem, and that's how I suggest you do. So, considering I don't remember much about exact values of trigonometric functions, what do I remember? Well, I remember actually very little, something like if you have an angle of 30 degrees, then the opposite catch-a-tives in the right triangle is equal to half of the hypotenuse. That I do remember. Now, the other catch-a-tives, I can really derive using the Pythagorean theorem. So, if this hypotenuse is 1, we are talking about the unit circle, this catch-a-tive is 1 half, and if this is x, then x square plus 1 half square is equal to 1 square. From here, x is equal to 1 quarter, 3 quarter, square root of 3 quarter is this. So, I know that my coordinates of this point are, abscissa is equal to square root of 3 over 2, and originate is equal to 1 half, and this is 30 degrees or pi over 6, that I know. Now, I also know something about 45 degrees. But in this case, again, I don't remember anything. I do remember that if one angle is 45, then another is 45. So, these catch-a-tives are equal to each other. So, what's their value of hypotenuse is equal to 1? Well, again, Pythagorean theorem, if catch-a-tives is x, then x square plus x square, the catch-a-tives are the same, right? Is equal to 1. From here, x is equal to square root of 2 over 2, which means square root of 2 over 2 comma square root of 2 over 2. Both abscissa and originate are coordinate at this point, which represents pi over 4, which is 45 degrees. The third basic angle in the first quadrant is 60 degrees. Now, 60 degrees is basically, if you drop the perpendicular, this triangle is exactly the same as this triangle, because if this is 30, this is 60. If this is 60, this is 30, right? So, this particular catch-a-tives is equal to half of the hypotenuse, which is 1 half. And this one is equal to square root of 3 over 2. So, the coordinate at this point would be this. And this is pi over 3 angle. So, these are basic angles in the first quadrant. And using the coordinates of points which represent the basic angles, I can find out the value of the tangent, because the definition of a tangent, if you remember, is sine divided by cosine, or originate divided by abscissa. So, I have to divide the second member of the sequence by the first. Okay, so, it's very easy to calculate. Now, let's go to the angles which I am asking you to calculate. These are angles in other quadrants. Again, every one of them has three, in the middle and one-third, in the middle and one-third. So, let's start. 2 pi over 3 is this one. 2 pi over 3. Now, look at this. This is 90 degree plus 30 degree, right? Because this is 120. That's easier this way. Now, this is also 30 degrees, because it's 90 degree minus 60 degree. So, these angles, this one and this one, are symmetrical relatively to the y-axis. Now, if the angles are symmetrical, I have proven this theory in the beginning of this course of trigonometry when I'm talking about when I introduce basic angles. So, if angles are symmetrical, then these points are symmetrical relatively to the same y-axis. Now, if they are symmetrical relative to the y-axis, it means that their origins are the same because they are projecting into the same point on the y-axis, but their abscissas are opposite in signs, but the same in absolute value. So, the coordinates of this point now are abscissa is the same, and sorry, ordinances are the same, abscissa is opposite sign. Yes. So, if I know this, what's the tangent of this angle is coordinate divided by abscissa. So, it's minus square root of three. That's it. Next. Next is three pi over four, three pi over four, which is 135 degrees, and the coordinates of this, look at this thing. This is 90 plus 45, and this is 90 minus 45, which is 45. So, these are symmetrical, so their ordinances are the same, and the abscissas are opposite in sign. So, it's minus square root of two over two, square root of two over two. So, I replace the abscissa with an opposite sign, but retain ordinate. So, what's the tangent, which is a ratio of ordinate over abscissa? It's obviously minus one. Now, next is five pi over six, which is 150 degrees, and obvious symmetry is with 30, because 30 is 90 minus 60, 150 is 90 plus 60. So, the angles are symmetrical, relatively to the y-axis, so these points are symmetrical. So, the coordinates of this point are minus square root of three over two and one half. So, the tangent would be minus, obviously, one over square root of three, or which is the same square root of three over three. Okay? Next, I have pi, which is this one, and obviously since my ordinate is equal to zero, and abscissa is equal to minus one, my tangent is equal to zero. Okay? Next one, minus pi over six is this one. So, it's minus pi over six, which is minus 30 degrees. Well, now you can use both approaches. Number one, you know from the properties of the tangent that this is an odd function, which means that the value of the tangent for minus pi over six is minus the value at pi over six. From another perspective, these angles, plus 30 and minus 30, are symmetrical, which means these two points are symmetrical, in this case, relative to the x-axis, right? They are projecting to the same point, which means they are abscissa is the same, but ordinates are opposite in sign, but equal in absolute value. So, what's the coordinate of this point? Well, again, we retain the abscissa and change the sign of ordinate, which is square root of three divided by two over two comma minus one half. So, what's the tangent? If you divide this by this, ordinate by abscissa, it's minus, obviously, one over square root of three. Which is the same as minus square root of three over three. Next is minus pi over four. Minus pi over four, which is minus 45 degrees. Now, for minus 45 degrees, again, from the considerations of symmetry, you can say that abscissa is the same as in this case, but ordinate is different by sign. So, it's square root of two over two and minus square root of two over two. And if you do the ratio ordinate over the abscissa, it's minus one. That's the tangent. Next is minus pi over three, minus pi over three, which is minus 60 degrees. Obviously, symmetry was plus 60 degrees. So, the coordinates are one half. I retain the x and I change y coordinate to the opposite. And their ratio, y coordinate over x coordinate is minus square root of three. That's the tangent for minus pi over three. Next is minus pi over two, which is this one. The coordinates of this point are abscissa is zero and ordinate is minus one. Now, you cannot divide by zero. Tangent is not defined at pi over two. Next, minus two pi over three, which is here, which is minus two pi over three, which is minus 120. Abvious symmetry is plus two pi over three. So, I know this. So, now I have to retain the abscissa and change the ordinate to opposite. So, it would be minus one half, minus square root of three over two, and their ratio would be minus and minus, it would be square root of three. Now, this is minus three pi over four, which is the same as minus 135 degrees. Now, the symmetry with this guy gives me, I have to retain abscissa and change the sign of ordinate. It's minus square root of two over two, minus square root of two over two, and the sex, the obvious ratio would be one. So, the tangent of this angle is one. Next is five pi over six, which is this one, five pi, five pi over six, which is minus, which is minus one 50 degree. Abvious symmetry with this guy is plus five pi over six, and they have to change this. So, it's minus square root of three over two, minus one half. And the ratio is one over square root of three, which is square root of three over three. And minus pi is this point exactly the same as before, so the ratio is zero. I have zero here. So, these are the values of coordinates of the points which represent basic angles, and based on the coordinates and the definition of tangent, which is ordinate divided by abscissa, or if you wish, sine divided by cosine, which is the same thing. Based on this definition, I calculated the values of the tangent in each of these basic cases. Well, I will continue doing exactly the same for the other functions, so the next one will be cotangent. And, well, that's it for today. That's it for tangent. Thank you very much.


Good morning everybody I'm Tommy O'Brien coming to you live from TFN ad 9 a.m. Eastern time Monday morning 30 minutes to go until the opening bell and what do you know we got markets in positive territory yet again quite an extension since about May 14th this market has been a rocket ship in one direction May 14th in the S&P futures you're trading at about 2760 we're now trading this morning out above 3200 30 206 for some context here I got a daily chart up December 31st 2019 you close out that year at 32 36 we're within 30 S&P points of being positive for the year the high of 33 97 you jump over to the Nasdaq let's pull up the queues for that even because queues talking all-time highs why not last week and this morning 239 69 on the queues we actually climbed above 240 at one point the all-time highs before COVID 237 47 and the Dow charging higher today as well now above a 786 retracement the Dow and just pull this off for some action remove that drawing May 14th the acceleration begins remarkable we're talking about almost 5000 Dow points since May 14th the low 22704 on that day we're trading at 27304 on the Dow the Russell quite a charge from May 14th as well you're talking about from 1174 to up basically 350 points to 1529 on an index that was trading at 1174 that's more than a 30% pop basically in the last less than four weeks remarkable action I talked about the Dow how about Boeing during that time Boeing going to open at 221 as they get an upgrade so that is basically the top of this chart we're looking at and the run there's your May 14th low 113 so you're talking about a 100% pop in the price of Boeing on the news that they get an upgrade that they may be above and beyond the worst of things getting getting hit now Duncan Duncan got an upgrade today too everybody in the northeast shout out to my Boston brothers and sisters Duncan got an upgrade today but I'm just seeing the story break that Duncan plans to hire 25,000 workers as restaurant industry begins pandemic recovery Duncan quite a rebound from 38 to 68 we're going to open higher this morning there you see the pop with a bid ask is 71 20 by 71 40 and how about Amazon getting a 3300 price tag put on them by one analyst hey don't hold down Amazon above 2500 2504 all-time highs on Amazon 25 25 stay tuned folks Larry Pezzavento coming up live with trade what you see I'll be back at 10 o'clock with Tom live programming all day at tfnn we'll be right back


الحريث الخامس وينفث حريث اذا كتاب عمدة الحكام ريتم باي عبدالغني عبدالواحد المقدس رحمه الله هيسد عن أبي هريرة رضي الله تعالى عنهم أن رسول الله صلى الله عليه وسلم قال لا يبولن أحدكم في الماء الذي لا يجري ثم يغتسل منه ولمسلم لا يغتسل أحدكم في الماء الدائمي وهو جونو بون رسول الله صلى الله عليه وسلم قال لا يبولن أحدكم أحدكم لا يجري أحدكم في الماء في الماء الذي لا يجري لا يجري لا يجري ثم يغتسل منه ولكزه فالدك دك Rather he has a bath inside it from it ولمسلمين من هيسد وواجنوب where he is? this حديث turns when he is having health كتابة الوضوء بابه البول في الماء دائم إمام البخاري نريت هذا الحديث في كتابة الوضوء أيضا الإمام المسلم نريت هذا الحديث في كتابة الطهارة two different narrations في كتابة الطهارة two different روايات the first one it was chaptered under the heading of بابه النهي عن البول في الماء الراكد and the other one is بابه النهي عن الإختصال في الماء الراكد the sahabi who narrated the حديث he's ترجمة his biography ابو هوريرا we've taken so we're not going to go over it again we took it when we were on the second حديث what does this حديث deal with this حديث deals with حكم البول the ruling of يورين في الماء الراكد in the still water والإختصال فيه and to have bath inside it من الجنابتي from major impurity from major impurity the wording of the حديث the Prophet ﷺ said this is a prohibition this is prohibition and the intent behind it is تحريمو prohibiting to urinate in a water which is still that doesn't move the first part of the حديث explains the second part of the حديث the first رواية it says لا يبو لنا أحدكم في الماء الذي لا يجري في الماء الذي لا يجري the water that does not that does not move the other رواية which is the warning of مما مسلم is لا يغتسل أحدكم في الماء الدائم دائم the interpretation is in the other حديث what does it mean ألا يلا يجري دائم the definition of it is ألا يلا يجري it's the thing that doesn't move دائم means still still water we will come to the fact regarding that ثم after he urinate in the water يغتسل أحدكم he urinate he takes a bath from it the Prophet ﷺ prohibited that وَهُ أجلُبُ while he is in a state of جنابة which is a جنابة is ما يجيب فيه الغص anything that having a bath you have to come with anything that will necessitate you to have a bath such as what مِنجِمَعِ in a sexual intercourse أو إِنزالِ مَنِينُ or your your money coming out from you money is ها semen this now is whether it's through sexual intercourse and it coming out you might wonder and say to yourself what's the difference between sexual intercourse and what you mean coming out sorry semen coming out لا the sexual intercourse إِنزالُ المَنِينُ is not a condition if the two genitals meet the Prophet ﷺ said إِذَلْ تَقَالْ خِتَانَانِيْ if the two genitals meet one another وَجَبَ الْوُصْلُقُ they're having a bath so man and his wife meet ها and then somehow one way or another reason whatever the case is they have to stop they'll say وَجَبَ الْوُصْلقُ even if nothing went in وَجَبَ الْوُصْلقُ the gas وُصْلقُ which is the bath is واجب what you mean it's واجب وَجَبَ الْوُصْلقُ this hadith also shows us another thing which is إِذَلْ تَقَالْ خِتَانَانِيْ وَجَبَ الْوُصْلقُ if the two circumcise that's what hadith says it says إِذَلْ تَقَالْ خِتَانَانِيْ this is to show you that the woman have to be circumcised and it's mandatory on them as much as this mandatory upon the men لا فرق بينهما wherever narration that is used to make it obligatory on the male is also what is made obligatory for the women لا فرق بينهما and this hadith is one of the hadith that indicate that the women have to be circumcised like in there are now circumcision which are وحشي which basically is incorrect and it's got no basis in Islam with which is when the women is mutilated the mutilation is not from our religion has no basis in our religion the mutilation has no base and no place in our religion for the women's genital to be mutilated circumcision is that the Prophet ﷺ has said to the women he said cut the top layer of it this wherever comes out from the two sides of a meat whatever comes out the slightly just cut that off but countries back home they cut her they saw her like a soul in a sheen they saw her and they only leave a little part which it urinate from or where her blood comes out from and that is not from our religion so the hadith tells us whilst the person is in a state of جنابة whilst the person is in a state of جنابة do not have a bath from that water the فق in the hadith the فق of the hadith the first point is النهي عن البولي في الماء الدائمي the first fit that we get from this hadith is the prohibition of النهي عن البولي to urinate في الماء الدائمي in water which is still that doesn't move that doesn't move number two which is النهي عن البول the prohibition of urinating the reasoning of why it's prohibited is the second one is لأ لا ينجسة so the person does not make the water impure وعن العصلي and also the prohibition of having a bath or cleaning yourself from a water in which if you urinate in you're going to have to have a bath from it later the people in the city this is the only water they use this is the only water you use and you're now urinating in it hey what are you going to use later to have a bath from so don't do it because what's going to happen is that the people are going to the people are going to so the two things that are prohibited in the hadith is don't go into the water and dip in whilst you're in a state of جنابة because the people the people are not going to have a drink and eat or drink and use a water in which somebody who had a state of جنابة went in are you with me and the and urinate inside their water so what does the Sharia want you to do اي تناوله تناولين go to the side of the water and take your bucket and use it like that from that side so take it and go out there far and clean yourself with it like that as it's in the صحيح الرواية of Abu Hurayah it's a Muslim because the hadith in صحيح المسلم is different from the word in صحيح البخاري المسلم the Muslims word by itself it says لا يغتسل أحدكم في المائي he should not have a bath inside the water the word في is used the word في is in so what's prohibited is for you to have the a bath inside the water while he was in a state of جنابة so what are you allowed the فق is the word في it says in so what are you allowed you're allowed to do منه from it you're not allowed to have in it but you're allowed to have غسل from it so you take a bucket and you do your cleaning outside so that's the point you have to upon the run number three حكم المائي الجاري the water that moves has a different rolling to the still water if the water is moving and it's not still then it's not the same rolling as the water that stands where did they get that from مفهوم المخالفة the opposite understanding because the hadith prohibited منطوقا by way of utterance it prohibited yeah what did it prohibit it prohibited the water that stands so what does that mean if the water is moving then you can urinate inside it if you want to or you can also have a جنابة from it you're allowed to and the reason is because if the water is moving when the جنابة when the person urinates in it the next one that's going to come is going to change it so water is going to move by the time the people want to drink from it your urine is gone it's somewhere far it's gone does that make sense it goes far number four this hadith محمولا it is interpreted and understood to مين علي المائيل قليل water which is little اين ده اهلين علمي according to the scholars of knowledge the people of knowledge the scholars they consider that this hadith is referring to water which hits amount is very little which the reason why the scholars they say that is because the hadith which is going to come to us which is the hadith of قلتين when the Prophet ﷺ said اذا بلغ الماء قلتيني لم يحمل قبط if the water reaches قلتين ها if the reach it's a gallon if a water reaches a gallon it does not take impurity that's what they said the hadith of the Prophet ﷺ علي يوصل if the water reaches a gallon لا يحمل قبط it doesn't that's the thick of the hadith the Ulama have disputed one another the Ulama have disputed one another and that's the last point which is the prohibition in this hadith is it نهيون للتحريم or نهيون للقراهة because the prohibition in those two times is what they come what it comes in is the prohibition here because it's haram or is the prohibition here is because it's disliked which of the two is it there is three views regardless مذاهب three views the Malikiyah scholars they believe أنه للقراهة that is disliked the Halabila and the Zahiriya believe أنه للتحريم it is prohibition the third view is ذهب بعض أهل العلم the third which they took the view is أنه محرمون it is haram في القليل when the water is little مكروهم is disliked في الكثير when the water is a lot the water is a lot it's disliked you are going to urinate even if it's a lot but it's haram but it's little and that's third view seems the strongest that third view which is the view of the شافعية seems the strongest the other dispute that occurred which is the other is the water that is urinated it the water that is urinated does it remain upon its purity or does it become impure if a person goes and urinates in a still water do we say that this water is pure or do we say it's not pure there's also three views regarding this as well are you with me they said إذا تغييرا if it changes if it changes فالإجمال علي الجاسة they said if it changes the changing comes from how many places three places the color the smell and the look sorry the color which is what you see the smell and the taste those three if it changes from any of those three that water is what it's impure that is a consense the first one is إذا تغييرا فالإجمال علي الجاسة that's a consense once it changes there's no خلاف on this issue the second one is that وإذا كان غير متغييرين what about if the water hasn't changed وهو كثير and it's a lot but it hasn't changed the taste hasn't changed the smell hasn't changed even the look hasn't changed and the water is a large amount the second view the second مدهب is أنه باقن فالأصوء أنه باقن على طهورية this water remains upon its original essence nothing has removed it from its original essence third which is إذا كان قليلا if the water is little غير متغييرين if it's little this little إذا كان قليلا if the water is little غير متغييرين but it hasn't changed nor has the color changed nor has the smell changed and nor has the taste changed nothing has changed and it's little and the strongest is that فالصوابو they said عدم متنجسي that the water we won't consider to be impure with those three views they all those three points is what brings the issue to an answer which is that the water its impurity is in two things the amount and the changing the quantity of the water and how big and large than the water is or whether the water has changed or not that's how it is are you with me so if the water changed and it's a lot we're just going to say it's impure it has to be all the conditions it has to be large in number quantity and it doesn't change if it's little and it hasn't changed it's better that the person leaves it but doesn't matter it's still it still can be used


At this point, we're ready to start dealing with hypothetical thought experiments to see how they would affect the equilibrium quantity offered and the equilibrium price, or the market clearing quantity and price. Now, at this level, let me just remind you, all we're worried about is the direction. We're not going to make specific quantitative forecasts because that would defeat the purpose of what we're doing here. That would give us a false sense of knowledge or accuracy. We don't actually know all the things making up the real-world supply and demand curves, and there are things that are changing besides just the particular thing that we're talking about, and so we have no reason to expect that our forecast would be vindicated. Rather what we're trying to do is just think through logically the forces emanating from one particular change that we want to imagine. This discussion will probably make more sense once we start dealing with a particular example. For the first example, and I'm just walking through the textbook here, we're going to say, suppose OPEC makes an announcement that it's going to cut back its production. Other things equal, how would that announcement impact the oil market? The market for crude oil. Like I said, now that we have studied supply and demand, we're not just going to argue in a circle the way I warned about in the beginning of the lecture. Now we're going to be able to see that the price will change and it will end up at a new resting point. First of all, let's think about the supply side. Well, let me just back up for a second. When we're doing examples like this, what you want to do originally is just draw a supply and demand curve and you have your original price and quantity. Now you want to think through what will that change in our thought experiment have on supply and or demand and then move the curves accordingly and then see if the answer pops out. For this example, if we have the supply and demand for oil and then we say that OPEC announces it's going to cut back production, what do we do? Let's think about the supply side first. Are we going to move that curve? Well, the answer is yes. It's almost obviously yes. It would be hard to even walk through it because we're telling you that the suppliers are going to reduce how much they're pumping. One way of thinking about it is the original announcement, they were saying or at the original scenario for various hypothetical prices, what was OPEC's quantity going to be and so it's like they're saying we're going to produce a lot less per day at those various hypothetical prices. The whole supply curve shifts to the left. That's what it means to say that supply has been reduced as you shift it to the left. Now looking at the demand side, what are we going to say about that? Don't be confused here. We are going to change how much oil is actually demanded. The quantity demanded is going to change in this example. But demand itself is not going to change. So this is a crucial distinction that I really want to make sure you get. It's the distinction between a shift in demand and a shift in the quantity demanded. In terms of the graphical depiction, it's really easy to make this distinction. It's the difference of on the one hand moving along the demand curve versus moving the demand curve itself. So what I'm going to argue is the fact that OPEC announces they're going to cut back on their production, that really doesn't affect the demand for oil. When you're thinking of all the different reasons that people might have for buying oil, the announcement from people in OPEC doesn't really impact that much. And so I wouldn't expect the demand curve itself to move around. You could get into some real esoteric thoughts about why it might. But for the most part, demand itself would not shift in response to the OPEC announcement. If you're a motorist in the grand scheme of things, you don't really care directly about how many barrels of oil Saudi Arabia is pumping.  The demand curve already captures that. The demand curve already captures the fact that as oil gets more expensive, people consume fewer barrels of oil. So there's no reason for the curve itself to move just based on the OPEC announcement. So if you buy that so far, what does that mean in terms of our diagram? What it means is now, instead of just having that generic S for the supply curve, we'll put a one on it and then we'll draw a new supply curve to the left in S2 to show that that moved. But we'll just leave that demand curve the way it is because we're going to say demand isn't really going to move around appreciably because of the OPEC announcement. So demand is the same. So now with those standard supply and demand curves, with demand downward sloping and the supply curves upward sloping, you can see that shifting the supply curve to the left will have two effects. It will push up the market clearing price. You can have it from P1 to P2 and it will push down or shift to the left the market clearing level of output from Q1 to Q2 where Q is quantity. So Q2 will be to the left of Q1. So to be clear, let's just do a post game show on this little scenario. When I said the novices when they're talking about this kind of thing, they'll argue in a circle and they'll say, oh, OPEC cuts production. So prices go up because the supply went down. But then the higher price, people demand less and so then the price goes down. That's not what's happening here. You can see, yeah, the supply shifted left that pushed up the price and at the higher price the quantity demanded went down. But demand didn't go down. The demand curve itself stayed put. We just moved along the demand curve and so that's why we were done. We can just say, yep, supply shifted left, the price went up and at that higher price people demanded fewer units and then we're done. So the final resting point has a higher world price for crude oil and a lower quantity both supplied and demanded.


Hi everyone, Joe for jasperjasecasebreaks.com doing a quick random number block randomizer for those following teams right here for Ntmba full case picker team three Works just like our usual random number block randomizer. There's nothing has changed in the rules Let's roll it. Let's randomize each list Four and a six ten times Time for this three four five six seven eight Nine and tenth and final time there you go four and six ten times. There's ten right there Michael down to Matthew Now if you have that little rooftop next to your name that means you won that spot in our team random not too long ago Or the sell a pack Congrats ten times for the numbers two three and And tenth and final time remember zero gets any and all redemptions including one of one redemptions All right, so Michael with three Ryan with one Robert with four Eric with zero So Eric you'll get any and all redemption for the teams on the bottom of your screen right there Cleveland Philadelphia Minnesota Charlotte Detroit and Brooklyn Including one of one redemptions Ryan will still get live one of ones Eric with nine Philip with eight Robert with five JC with six Sean with seven and Matthew with two All right, so there you go. We got to do one more number block and then the break itself Jasper's case breaks calm


My oldest son cannot eat dairy so when he was two I started baking for his birthday party and organically the business has grown to what you see today. My name is Mariana Cortez and I'm the owner of Bunny Cakes. Bunny Cakes is a vegan bakery located in Miami, Florida. I put my heart and my soul and my love my life into this business. So when you enter Bunny Cakes is like you enter my house.  What inspires me the most and give me energy to continue are my kids. The relationship I have with them, they give me ideas, they give me inspiration to create something new. I see my business as a part of who we are and we're a big family working for the same goal. When I started the business the first thing I did was go to go daddy and look up for the domain name and then when I saw that it was available I registered the business under that name. I think he created the platform I needed and it's been very successful. I think success comes when you have a place where you can share everything that you have been building with other people and I think we have that and that makes me full. It makes me happy.


I am Vivian Caminos. I am an integrative cardiologist at Hackensack Meridian Integrative Health. We should all start looking at our heart health from the time we're babies, from the time we're children, because we know now that heart disease actually starts sometimes even in adolescence. As an integrative cardiologist, I can draw upon what's best in conventional medicine and in alternative and complementary medicine. Integrative cardiologists look beyond the traditional risk factors of smoking, hypertension, family history. They also look at stress, at depression, anxiety. They look at sleep. They look at nutrition, at movement, at exercise. We look at everything. When you take care of your heart, you're taking care of your whole body, because anything that's healthy for the heart, it's healthy for the whole body. For instance, we know that if you achieve ideal heart health, your risk for cancer also goes down. Your risk for depression goes down. Your risk for metabolic syndrome, diabetes goes down. We know from research that you can always heal from heart disease. You could always get better. It's never too late. We have evidence that heart disease can be reversed and we can lessen the risk for a recurrent event. So if you already have heart disease, it's never too late to get better. And the way to get better is through the drugs that your doctor recommends, through procedures that may need to be necessary to get you feeling better and functioning normally, and more importantly, through lifestyle.


All right, guys, listen to me. Whoever loses his objection is going to get bit by this dog right here. Check this dog out right here. This is the killer dog out from Arsenal K9. I'm going to hit my twins, Ian Macklin and Evan Macklin. With an objection, whoever loses is going to get the dog. All right, so here we go. This is going to be an objection. I remember, we all came from a car background, so let's hit him with an objection. It's going to be face to face. Ian Macklin. Hey, Ian, by the way, I saw the price is $2,999. What's your best price? Hey, Andy, I'm so glad that you passed that. Listen, our best price, we use it market-based pricing, which is we go 500 miles out in the area to make sure that you got the best price. You don't have to worry. You don't have to haggle. So our best price is on the windshield, Andy. Let's go ahead and do business. OK, hey, Evan, I appreciate you. I saw it online for $2,999. By the way, what's your best price? Andy, you're crazy. Sticker is quicker.  All right, guys. Clearly, he didn't win. Let's put him in a suit. Put him in a suit. Hey, guys, what's going on? It's Andy. A lot of you leave comments. Tell me that you need help. Do me a favor. I'm going to tell you the best way to get a hold of me. Shoot me a text message right now,<PHONE_NUMBER>.<PHONE_NUMBER>. I'll help you with whatever you need.  Let's get back to the video. Better to get bit. I know that. All that taking and leaving attitude that people have been talking about the last couple of years. Shouldn't have been listening to it. How are those pants fit? It's good. I'm ready. But when it comes to a canine unit dog, absolutely. Because you can't outrun them. You can't outclimb them. You can't really do nothing. That's a training dog.  And I play rigged games because I always win. I mean, I thought that was masterclosure one-on-one. Don't play games that you don't have the upper advantage. Come on. That's why you trained and had the skill set so that you're better than everybody else. Second thoughts about this. It's like going bungee jumping or something. Coming for Ian next time in the battle games, the objections. I want to be more prepared next time. And by the way, always make training fun. I think people forget. I think so. Keep training fun. As I just want to tell you, you're the true one percenters. You made it till the end of the video. Do me a favor. Share it with the friend that wants to go to another level. Make sure you like the video. Comment below so I know who you are. Set your notifications, and then subscribe to the channel. We got daily sales training videos dropping. I'll see you soon.


This is stock number 11367A. We are here at Summit Automotive in Fond du Lac, Wisconsin. You're new and use light duty truck headquarters today. We are checking out this super clean 2016 Chevy Colorado Crew cab long box six foot two inch box on this one This vehicle has the 2.8 liter four-cylinder Duramax diesel engine in it Humps out 181 horsepower 369 foot-pounds of torque This truck has been fully safety to and inspected by our service shop as a fresh oil and filter change all the fluids have been checked and topped off and This truck is 100% ready to go black clear coat is the color We shoot all of our videos in 1080p 60 frames per second So if you have HD capabilities on your computer tablet or smartphone device turn them on right now because it is Definitely your best way to check out the quality and condition of the truck before seeing it in person And if you'd like to check out all the photos on this truck in the upper right hand part of your screen is a link to our website Click that and check us out there This one comes with the 17 inch painted and polished aluminum rims and it has good ear wrangler all terrain adventure 255 65 R 17 tires and these tires look like they were right around 50 to 60 percent of the tread left on them Front fender is in excellent shape. I didn't see any dents or dings on that comes with the projector lamp headlamps Factory fog lights this one does have a Western grill guard on it I'd say of the whole truck the grill guards probably the Least nice part does have just a little bit of rust right there, but other than that This truck's super clean all the way around inside note the hood is An excellent shape as well I didn't see any dents or dings on there and the passenger side front fender is in really nice shape, too Passengers side front rim no scuffs or scrapes on there And as you go down this side of the vehicle take note of how clean the body is how reflective and mirror-like that paint is We take these HD videos So if you are far away or even if you're close by and you just can't make the trip down But you're still interested in purchasing the truck You can see the truck hear the truck and have confidence in the vehicle that you're looking at Before you even get here so that when you do get here. There's absolutely no surprises And that's why we offer the summit auto fast-pass option in the upper right hand part of your screen I link right to our website where you can apply for financing get pre-approved to see a payment quote Even appraise a trade all from the comfort of your own home So when you get here all you have to do is drive the truck love it and you'll be all set to go back Rims in excellent shape as well and the back tires look like they have just a little bit more tread than the front tires I'd say probably 60 to 70% of the tread back here frame and under bodies and really nice shape And it's like that all the way underneath As all the remaining factory exhaust so it hasn't been altered in any way you get the nice factory black step arson here Those are in nice shape as well comes with a diamond plated toolbox As we come around to the back of the vehicle rear bumpers in great shape Didn't see any major denser dings on there you get the rear bumper steps towing package Which includes a receiver hitch four pin and seven pin wiring you also get a factory exhaust break with this truck because it is the diesel locking tailgate Has the shock down assist tailgate, so it's never going to slam on you And you do get a very nice spraying bed liner in this truck Beds in great shape and then see me Dense or dings on that and as we go down the driver's side just as clean as that passenger side And for full disclosure this back rim is in nice shape as well Driver's side doors look really good And it does come with the power mirrors with built-in driver's side blind spot mirror Inside the z71 package gives you the black and gray leather and cloth mesh seating No major rips or tears on there Pretty nice condition power driver seat factory all-weather floor mats Auto headlamps turn dial four-wheel drive this one does come with the factory brake controller power windows power locks power mirrors and As we hop inside the truck Take look at the instrument cluster check everything out. You can see this truck has 34,720 22 miles instrument cluster is very nice and clean and You get the leather wrap steering wheel cruise controls on the left Bluetooth and information center controls on the right this one comes with the Chevy my link system and it includes the factory Navigation system on here as well you do get AM FM and Sirius XM radio capabilities and You get a projection manager where you can project your cell phone to the screen so if you have a different navigation system that you like better such as Ways or Google Maps and have Android Auto or Apple CarPlay on your phone You can project it right to the screen and use that. It's a pretty cool system And this is also where your backup camera shows up But you do have to have the truck running for that to work down here your climate controls Here's your factory exhaust break your stability control That's for your cargo lamps downhill assist control and then you do have heated seat buttons for the seats up front Augs and USB jack down here and your automatic transmission passenger side format and seat are in excellent condition and then seen any rips or tears in there and the headliner is in Really nice shape as well Up here you get map lights and then on-star capabilities in that rear view mirror We'll take a quick look at the back seats and then we'll start it up and check out under the hood Back seats are just as clean as the front seats No rips or tears back here It does have the latch child safety system for any child car seats You may want to put back here Sliding rear window these headrests do fold down for better visibility when nobody's riding back here and to get these seats up You have to Lift the lever and then lift these up like so You can see how they go up. You get the all-weather format back here You do get two USBs and a 12 volt power point back here as well There's a front license plate holder and then to get this seat back down and just lift this lever again And you're all set to go Bottoms of the doors all look really good And we'll start it up and take a look Starts right up You can see other than the hood No check engine lights or warnings on there And I would personally like to thank you for checking out the video today and hopefully from this HD video We've been able to tell just how clean this truck is all the way around inside and out Under the hood we have the 2.8 liter Duramax diesel 181 horsepower 369 foot pounds torque engine base very clean runs very smooth Socks they're doing a nice job holding that hood up Once again, this truck has been fully safe eat and inspected by our service shop Has a fresh oil and filter change all the fluids have been checked and topped off and This truck is 100% ready to go I would highly recommend this truck from a quality and condition standpoint You can see it does have the HIV headlamps on there as well And to see more pictures of this truck One of our other 450 new and used cars trucks SUVs mini vans Wranglers half tons recorder tons one tons You name it. We got it go to our website right there www.summitauto.com Full pictures and descriptions of every single vehicle from two locations all at summit auto comm and if you'd like to check out more HD videos You can go to youtube.com slash summit auto Remember to like subscribe and share on this video and all the videos that you see there in fact in a second We'll see a link to subscribe to our YouTube channel in the left a link to more Chevy colorado videos like this one on your right if you have not been to our website on the bottom link to this vehicle on our Website click those check us out, and we're super excited to be offering this extremely clean 2016 Chevy colorado crew cab long box z71 with the Duramax diesel in it in black clear coat. Thanks again for checking out the video