Welcome to Nation Beat. I am General Norville bringing you this brief on the pulse of our nation and highlights around the heart of St. Lucia. A new national health strategy is expected by the first quarter of 2019. More help is underway for St. Lucia's agriculture sector from allied governments. The travel detective unearths St. Lucia's hidden gems and equips small businesses for big gains. Governments first towards a more affordable, accessible and modern health care system continues with a new health strategy for the island to be drafted by the first quarter of 2019. Among the priority areas are health financing and international accreditation for health services. The compilation of the new strategic plan for the health sector is still in its early stages. Chief Health Planner Dwight Calyx noted that though the last strategic plan ended, the information is still relevant and will be incorporated into the new document. The new policy will be aligned with strategic development goals of the World Health Organization and the health achievement for the Americas by the Pan-American Health Organization. Before prioritization processes it will at least for us look at our existing situations, our system health profiles and ensure that whatever it is that we develop over the next few months, coming months that we develop that in response to the needs of our population. Calyx outlined some of the current health priorities for St. Lucia. One which is at the top of everything is our national health insurance. Health financing is also very critical for us as well. Being responsive to our situation of NCD so by a way of process the first the first imminent process is to ensure that we prioritize those areas and some of those priorities as I've mentioned then we need to look at what our situational assessment is and also what that health profile that we have in terms of our existing population. As part of the process intervention specific to these priorities need to be formulated and a roadmap needs to be done to plot what is necessary to achieve the targets. The Ministry of Health and Wellness's quality policy is completed. It outlines quality standards across the public and private sectors dealing with infrastructure and services. Calyx says it states what needs to be done to meet certain quality standards with the intention of moving towards accreditation. Once you look at our health sector you know that once you enter any health service there's a standard set of services that you receive and it's of a particular quality and a particular standard of international recognition so that's the direction that we are particularly heading with the health sector. The team responsible for the strategy will be meeting with the Pan American Health Organization in November to undertake the prioritization process. From the Government Information Service I am Alicia Ali. Regional, public and private sector officials in climate change are currently on island to dialogue on targets outlined in the respective nationally determined contributions for the Caribbean region. Chris Satney reports. The activity is being hosted by the Government of St. Lucia through the Department of Sustainable Development. The dialogue seeks mainly to exchange experiences and views related to NDC implementation planning and financing particularly in the energy sector including linkages to sustainable development goals SDGs and other planning processes as well as opportunities to advance gender equality. Minister with responsibility for Sustainable Development Honourable Dr. Gail Brigibet pledged St. Lucia's support to meeting the NDC's targets. She stated that while collectively the region's contribution to global emission was small, significant effort was required to preserve the environment for future generations. We believe that your informed recommendations will provide sound advice on how as a region we can inspire greater commitment to strategic climate financing and technical support to help achieve our climate agenda. It is important for us to spur the required global political commitment needed to ensure that rapid and ambitious climate action is supported and pursued. The forum is the 19th in a global series of dialogues supported by the UN Development Programme UNDP and the Secretariat of the UN Framework Convention on Climate Change the UNFCCC since 2014 in assisting countries in implementing their respective NDCs. Yoko Ibasawa of the UNDP says the dialogue comes at the crucial time for the region which has over the last few years experienced the high rate of extreme weather events and has small states that growing vulnerabilities to the effects of climate change. Since 2016 we have been implementing values activities including the development of nationally appropriate mitigation actions, NAMAS and national adaptation plans, NAPS and transferring mitigation and adaptations technologies to the communities through the 38 pilot projects and promoting South-South and North-South cooperation by sharing lessons learned among the target countries in the region as well as transferring technology from Japan to the Caribbean communities. The regional dialogue precedes an NDC finance initiative for the Caribbean to be hosted in St. Lucia from the 11th to the 12th of October 2018 at the Harbour Club. The activity which will gather practitioners and the technical experts from relevant ministries, regulators and sectors from across the OECS and the wider Caribbean community will build on outcomes of the regional dialogue on nationally determined contributions for the Caribbean expected to run until Wednesday. From the communications unit of the Ministry of Education, Innovation, Gender Relations and Sustainable Development I am Chris Satney reporting. More help is underway for St. Lucia's agriculture sector from allied governments. St. Lucia and Cuba have strengthened ties with collaboration in the field of agriculture. A team from St. Lucia's Ministry of Agriculture upon invitation by the government of Cuba visited that country. There the team met with agricultural experts and held various discussions and water systems could be extended with the aim of improving St. Lucia's agriculture sector as well as the water sector. The Cuban government agreed to provide technical assistance to the government of St. Lucia, prompting the formal signing of the Memorandum of Understanding MOU. Cuban Ambassador to St. Lucia, His Excellency Jorge Francisco Soberon Luis indicated that agriculture is a priority for both countries. In order to continue the path of development of our countries we need to strengthen our exchange, our cooperation, our discussions, our joint efforts in the area of agriculture. But it's not only that, agriculture and everything that is related to it as we all know very well both in Cuba and in St. Lucia. It comes with many benefits for our peoples, for our communities, for achieving countries that are more resilient when it comes to all these phenomena naturally that we have to face and it also strengthens our economies and it also contributes it's an important contribution also to healthy lifestyles. So we are talking about nutrition, we are talking about food security, we are talking about many things without which we cannot conceive a better life for our countries and our peoples and without which we cannot conceive development as we understand it to be for our countries. Minister for Agriculture Ezekiel Joseph noted the importance of such collaborations as both countries are able to benefit. He expressed gratitude to the Cuban government for their generosity. He also provided further insight into the MOU. We agreed in the MOU that there's need first to collaborate with Cuba and the whole aspect of crop production. Like we all know we have been challenged right now as it pertains to the utilization of healthier products and you would realize I do say chemicals and I'm sure Hannah would like me not to use the word chemicals healthier products in the production of our food chain. We just saw recently what happened in the U.S. and with us we're all aware what's transpired in St. Vincent and the call has been made now even more for us to engage in our farmers in the utilization of healthier products as it pertains to the production of food for the utilization by by all sent solutions. The two countries expressed eagerness to see the agreement through to implementation. This is Nation Beat an Emmy Award winning travel journalist tells the world about the hidden gems of St. Lucia and equipping small businesses for big gains. Everyone is at risk forgetting a food born illness while most food born illness cases are mild and go unreported. Long-term health complications and even death can occur from a food born illness. Food born illnesses are caused by contamination of food at any stage of preparation. If you are a food handler involved in home-based food production meat, fish, chicken or a big shop as a food vendor how you prepare food can put your customers at risk. Do you know the risks and how to avoid them? The St. Lucia Bureau of Standards can help you. For more information contact the St. Lucia Bureau of Standards at 456-0546 or email slbs.candw.lc or visit the website at www.slbs.org.lc. St. Lucia Bureau of Standards making quality and standards our way of life. Welcome back. The St. Lucia Tourism Authority SLTA has partnered with Emmy Award winning travel journalist Peter Greenberg and his production team to film an episode of his popular television show The Travel Detective. This partnership is in keeping with the authority's mandate to position the destination as a top vacation choice for visitors. Peter Greenberg is a travel editor of CBS News and widely regarded as America's most recognized frontline travel news journalist. The show The Travel Detective is syndicated on PBS stations across the United States. Greenberg took time to explore St. Lucia and was surprised by the things of the beaten path, art, history, even jungle adventures and an exploding food scene that is not highlighted in brochures and guide books. In the 6 minute 28 second web version video, Greenberg gives viewers his personal favorite pics of experiences located off the conventional tourist travel maps. Hidden gems of St. Lucia can be viewed at petergreenberg.com on YouTube and on networks across the U.S. The longer television version of the program will air early next year. St. Lucia's transition away from fossil fuels and towards clean energy is advancing with the help of international partners Harris Alisha Ali. The government of St. Lucia has taken the first steps to transition its fleet of vehicles from fossil fuel to clean energy. The Department of Infrastructure and Energy announced the acquisition of three electric vehicles early in October. These vehicles will be used as a pilot in a study to determine whether this is a sustainable transition option. Anna Sophia Midsford is the project manager for the Electric Mobility St. Lucia study from the Rocky Mountain Institute. Yeah so the next step after the study is completed is for a ministry to to take on that that role and really advocate for a transformation of the vehicle fleet. I think there's a step that goes before that that the government as a whole needs to agree on what they're trying to accomplish with their vehicle fleet. So there's probably some goal settings that has to happen in some important conversations in which different ministries align on whether this transformation really is important. Chief Energy Science and Technology Officer in the Department of Infrastructure and Energy, Terence Gilliard, said this project is important to the socioeconomic development of the island. The reality is that small island developing states although our emissions are negligible but the impacts we are all very well aware of the impacts of climate change. I mean we speak about Maria and other recent hurricanes and storms and the disastrous effects right here in St Lucia we've experienced the disastrous effects in recent years but besides that there's the socioeconomic aspect which is very important. We all feel the pinch when we go to the pump and we notice that the prices are fluctuating. The recent IEA report is telling us that oil prices should increase and these things have a very very negative impact on our economy and on our lives. As a small island developing state St Lucia's carbon footprint is minuscule. However government is making the effort to ensure that the island becomes as environmentally friendly as is possible. From the government information service, I am Alisha Ali. More than 20 micro small medium enterprises within various business sectors are now better equipped to source financing, technical support and explore expansion after having completed a business plan development workshop. Anisia Antoine tells us more. The Department of Commerce collaborated with the Savings Bank Foundation for International Cooperation SBFIC to host a business plan development workshop. The workshop was held with the view of enhancing entrepreneurial skills of the attendees. On Tuesday October 8th a closing ceremony was held to present participants who benefited from the workshop with certificates of completion and accomplishments. I observed among you some business owners that I had dealt with in other workshops in the past. So it's sure that here was a group of people we had interacted with years before and there they are their businesses still striving, still making lots of progress but they are again to to take the business to another level and recognizing that through this business plan workshop that they can what if it's expanding their their operations or even going out into other avenues new product development and so on. This was the the type the place for them so I was very very happy to see some of our all participants from years ago coming back again and taking advantage of this opportunity. The financial aspects of your business that is very often one of the weaker parts of business owners. They know their business very well they know their product very well they know how to run the business but there's a certain lack of financial management skills and together with our partners here we are trying to address those shortages but it does not happen overnight. It takes a long term perspective to address it but you made one important step towards getting closer to being business owners and entrepreneurs who possess these skills. Seidu and SBFIC throughout their lifespan of the program has assisted some 75 business owners with developing a business plan. SMEs in today's world they face a multitude of challenges you most probably have experienced that already. You are trying to find competitive advantage maybe it's not easy for SMEs because most SMEs they operate successfully in a niche market but to find that niche market is not easy or you try to provide a better service a better quality as far as your service offering is concerned. The workshop which commenced on the 10th of July and culminated on the 7th of August accommodated approximately 22 existing and potential MSMEs within the various business sectors. From the government information service I am Anisia Antoine reporting. The public was treated to free health checks over the weekend thanks to a health fair jointly organized by NGICO insurances and the Ministry of Health and Wellness. Whether you wanted to exercise sample localities or smoothies do your health checks or just know your status. The health fair organized by NGICO insurances and the Ministry of Health and Wellness had a bit of everything for all ages. Held on Saturday October the 6th at NGICO's premises at Raduwe organizers felt the activity met its objective. Janelle Alexander Dupre is a family life educator with the Ministry of Health. Most persons as you know we work we have eight to four eight to four thirty jobs sometimes you work shifts and not all the times you'll get the opportunity to go and visit the doctors or to go to the health center and in this way persons are able to come to places where they get free treatment and they get to know what their levels are and what is needed for them to make the changes in their lifestyle. Dupre also outlined the various entities who participated in the health fair. It's almost like an opening for us for breast cancer awareness month. Here we have the Ministry of Health partners including environmental health, the renal unit, Senusia Diabetes and Hypertensive Association. We have Planned Parenthood. We have Nutrition Department. We also have persons from CrossFit. We have Francis Robb and we also have smoothies being done. All these things to show persons what we need to do for us to be maintain a healthy lifestyle. Corporate Services Administrator at Nargico Vicky Ford said as a leading health services provider on island Nargico felt it's important to give back. We're leading in medical health and we have seen as a health provider the claims that do come in and we know it's important for us to take on preventative care for persons. So Nargico felt it's important to do that and we know the rising cost of medical is is extremely hard right now so we wanted to give something back to persons that is in need and is essential for their lifestyle. So we wanted to put on a holistic health and wellness fair where it doesn't cover just the testing but advising you on how you can improve your lifestyle and maintain it. Matthew Branford was among the many persons who took advantage of the services at the health fair. He said he welcomed the education and free testing which was available and encouraged more men to pay greater attention to their health. What I would have to tell the men is important to take care of your health because without since men are the main breadwinners although that is going out of the way now but men need to take care of the health because they are looked up to. I don't want your son or daughter to live the rest of their life without having a father who could have been for extra 10 years or extra five years so it's important that men put the health first in everything that they do. The event was geared towards families targeting persons of all ages to be more interested in knowing their health status through regular health checks, proper nutrition and exercise. For the Ministry of Health and Wellness Glenn Simon reporting. That's Nation Beat. Join us next time as we fill the pulse and heart of our community. You can also catch up with us anytime on the Sinducia Government Facebook page or YouTube channel. I am Janelle Norville.


Happy Fun Land is a game with good ideas and flawed execution. I went to this game expecting it to be a horror, but it became clear very early on that it was going to be something else as well. What is this? Oh my god. It's somewhat unique in that it's a first person horror that leans heavily into comedy elements, not a genre you play every day. They have BORT. They do have BORT. The game takes place in an abandoned theme park in a swamp in Florida that clearly parodies Disneyland, Mickey Mouse and Walt Disney himself. The nameless and voiceless protagonist you play as is sent in to explore us by a stranger who was willing to pay you to do so. Before I began my journey in the theme park however, I was immediately disappointed by the options the game provided. I'm used to games defaulting to snap turning, but I thought that we were all on the same page with regards to options like smooth turning, yet there was none. The only thing I could change was the degree to which I snapped an a vignette toggle. Emissions like this were disappointing back on the PSVR1 back in 2016, but now in 2024 they're almost shocking. In terms of visuals, the game holds up fairly well until you look at mid to fair ranges at which point there is quite a bit of shimmering going on. It's less of an issue in the interior sections, but in the open, more wide spaces, it's noticeable and made me wish the developers took advantage of the dynamic, foveated rendering like in fellow Unreal Engine Game Cube VR which just released last week. Still, I found myself impressed with the environments themselves and the art direction. Every area I explored felt dense and packed with details, from fireflies buzzing around to merchandise stacked on every shelf to posters and cutouts of fictional cartoon characters that convincingly mimic the style of early Disney characters, but with their own dark twist. What really impressed me was how much of the stuff laying around was interactable. You can smash glass panes, lights, merchandise, collectibles and much more, which helped make those things feel less like Seth dressing and more real and believable. Although many of the interactions themselves were less detailed, for example, when you're opening doors or pulling levers, it isn't done by actually grabbing them, but instead you're just touching them with your hand and then they automatically complete the animation, which some may find disappointing and not too much different from just pushing a button. Your time in happy funland will be spent exploring the dilapidated theme park, engaging in combos with animatronics and doing some life problem solving. In terms of exploration, the areas are fairly linear and the only rewards you'll get for checking out every nook and cranny will be the collectible randy rodent figurines of which they are easy in total. You'll be given a flashlight to aid in your exploration, but as this game never really takes advantage of the deep blacks offered by the PSVR2's HD or OLED display, you'll never really need to use it. Sometimes you'll come across a locked door or obstacle to overcome and solviness may be as easy as just finding a key laying around or as annoying as making a putt in a mini golf course. I say annoying because the physics for this golf mini game are not exactly on par, pardon the pun, with walkabout mini golf, with the ball often acting in inexplicable ways or clipping through the environment entirely. It's a shame because it's a fun idea on paper and they went to the effort of adding nine holes for you to play throughout the game, but the reality is frustrating. When you explore enough or unknock a certain door, you'll often spawn in enemies.  While I enjoyed the design of these enemies and the one liners they spew out, the actual combat itself is very dull.  You can use your putter from the mini golf or a replica sword if you found one to repeatedly bash them until their heads explode in slow motion. I didn't notice any combat tutorial so maybe I was doing something wrong, but basically I just waggled my controller around like it was a Wiimos and I hit the enemies like sixty times or something before they actually died, but it got old very fast, even though their death explosions were always entertaining. The only other method of defeating enemies that I found was luring them into moving rides which would instantly destroy them. Speaking of the rides, it wouldn't be a theme park if you couldn't enjoy the rides and these I found entertaining. They're not breakneck speed like something in Untell Dawn Rush of Blood, but they are varied and helped prevent things from getting too stale. From a trippy drug infused ride to a haunted house ride that made my brain very confused, to a pirate themed shoe sales on the water I always look forward to these segments of the game. I beat Happy Funland in 1.18 in just under 3 hours with 66 collectibles out of AC Total. I'm not someone who would let the length of a game be a determining factor personally. However, I understand that some people do take time into consideration, weighing this against the price, which in this case is 25 dollars and 25 euro, which may feel too steep for some. But even without taking the short length into consideration, there's enough wrong here to make me hesitate recommending this as it is right now. The dull combat and the lack of basic options do a good enough job of that on their own, even if the ride can sometimes be fun.


Okay, the recording is on. Welcome to BC314, our course on media and technology in ministry. Let's take a moment to pray and then we will get started. Could somebody please pray with a glass? Anyone? Can I rest it? Please go ahead, Asha. Dear God, thank you so much for this day, Lord, as we're about to learn media and technology, God. Lord, you've made everything for our own good and purpose. God, if we get to reach out, we need to many ways. Lord, as we're about to start, but you're filled with wisdom and knowledge, and I also pray for all my classmates who are not feeling well, or Lord, I pray for your healing and your blood to cure them, God. By the strike they're healed, for you love them so much, God. And Lord, thank you so much for everything as we're about to learn, that you're filled with us, and I also pray for Pastor Shishpa, that you're filled with him, and power him with your strength, and your healing to the same God. Thank you Lord for everything that you're doing. Amen. Thank you, everyone. Alright, so the last couple of lectures, we've been talking about digital engagement. We were talking about different ways. We could engage people, engage with people, whether it's the congregation or the community beyond our congregation, how we could engage with them, different tools you could say that we could use to engage with them. We covered that. Towards the end, we mentioned about the, we spent a bit of time on our church website and how you could use that as a platform or a media for communication. And I just mentioned in passing about the church app. I haven't spent too much, I didn't spend too much time, but if those of you are interested, you could download our APC church app if you just have to go to the search for All People's Church Bangalore in the app or Play Store, and you can download our church app and just have a look at it. So the app, nowadays many churches also have their own church app and people are comfortable using an app on their phone or the digital device. So that is also a good way to engage with people. I haven't spent too much time on it. I just point you to the APC church app or any church app that you want to look at. Again, the rationale behind our APC church app is to make it more like a place where people can come to for good content as opposed to a place where we put a lot of announcements and notifications. So using the app to announce and engage people with announcements and notifications is not our priority. Our priority is to provide a place for content so they can come back to content. So that's the way, that's been our rationale behind the way we've designed it and positioned it. Just to let us know what's coming up, today I want to, I know towards the end of last class we kind of were getting into a church management system but we will keep that for a later time. Today I would like to cover, talk about some guidelines for graphics and video. Just go through and share some of the things along on guidelines for that. And then chapters 13, 14, it would look like this. We will, in chapter 13. So today we'll do lesson number 12, which is guidelines for graphics and video. Some just some practical things to keep in mind. Then lesson 13, we'll get into social media. Again, just some guidance there on how to use social media meaningfully. Chapter 14, I will spend some time on digital equipment. Just give us an idea of, okay, here these are the equipments you need to be aware of as far as production is concerned. So whether it's photography, audio, video equipment, that's basically what we'll touch on, live stream equipment. So these are the equipments that generally you need to be aware of because people come to you and say, you know, pastor, can we buy this camera? Can we buy this thing for video production, for live streaming, for audio and so on. So it's more from that perspective. Just to give you an exposure that, okay, these are the things that you need for doing certain things, typically that are done by churches and ministries. Then in chapter 15, lesson number 15, we'll come to software platform. That's where we'll come back to our church management system and a couple of other platforms that would be useful for a church or a Christian ministry. I just walk you through some other things that they're using. And then we'll close off lesson number 16. We're talking about data protection, confidentiality and privacy. So that's what we have left for us in this course. And now this is a non-technical course.  So at the end of the course, we'll have one final assessment or exam. It's going to be a non-technical exam, right? So it's not taking your technical knowledge. It's just more for your understanding of, okay, this is what's out there. This is the best way to make use of these things, right? Because I know many of us would come from non-technical backgrounds and you don't need to necessarily know the technology. You leave that for people in your IT team or media team, let them handle that. But as a person who's responsible for the ministry, you need to provide direction, you need to give answers, some guidance. So it's good to be aware of these things so that when you're involved in meetings and discussions, you can use this knowledge to help guide the decisions that are being made, okay? So that's the point from which you will be assessed, not from a technical standpoint. All right, so today let's get into some guidelines on graphics and one minute. Share my screen, share. All right, so guidelines for graphics and videos. I would point us to two very good resource websites in connection with graphics and videos and basically using technology and media in ministry. One is put out by the Church of England. They have a place where they call the Church of England, digital labs. It's quite interesting. They've put out quite a lot of good information there so you can go there. And there's another website called churchleaders.com and they have a section for media and technology. So that's also a very useful place to go and it seems both these are keeping things current. So it's a good place to see, okay, what's happening and a lot of that, especially the second one, churchleaders.com. So I'd encourage you to go visit that if you are interested in getting more information on, you know, media technology, ministry and how it's being used these days. That's a good place to go. So what I want to share with us in this particular lesson is that when you as a leader or whoever is leading the ministry, overseeing the media technology side of things, it's important for you to guide those teams, the media team and the IT team, what they're doing. And at least in my own experience, I've noticed that the media people, the IT people, they are good in their knowledge and skill and, you know, they know what they're doing, et cetera. But they may not always think from a church or ministry perspective. They may not always think like that. They're thinking more in a technical perspective or, okay, I need to get this thing done and use, you know, they may not be looking at it from a big picture perspective. And so every now and then things can go out of hand. You know, they may not know what the priorities are or watch, you know, how to communicate through what they're doing. So that is where as a pastor or as a leader of the Christian ministry, you need to be giving that guidance to them. And it actually gets down into the nitty gritties, the details, because if something goes wrong in the detail, who's going to be held responsible, the pastor. You know, for example, just give some simple examples, you know, sometime back in our one of our graphics team, they, I don't know what the actual thing was, but they used a graphic of a person and of a hand, you know, in that picture in the graphic, there was a hand. And there was a tattoo on that hand. I think that tattoo of a cross or something. No, our graphics team, the person who did this graphic wasn't paying attention to that they were thinking of, you know, creating this graphic for whatever they were doing. They all looked that the fact that there was a hand picture of a hand, and that hand had a cross tattoo on it.  And I get a message. I mean, they've just released it immediately, I'm getting a message from somebody in the congregation. Hey, does this mean you are advocating tattoos? I'm like, okay, you know, I wasn't even involved in the process of doing the graphics, but, you know, the graphics team is doing, they're promoting some event, but who's being held responsible? Me. I'm getting a message. What's going on?  So somebody in the congregation is reading it as we are saying okay to tattoos. Now, the question about tattoos is a separate question, but what I'm saying is a graphic that was created by the media team put out for some promotion is having this kind of a message, sending this kind of a message to a person in the congregation or whoever saw it, and they're holding me responsible for it.  So quickly we had to do that change. But it was a small example, but it is, it's affecting somebody. Or some other scenarios where, you know, we had a sermon. We did a sermon on giving, I think it was about prayer, and one of the sermons in the series was about travailing in prayer, laboring in prayer, and so the graphic was showing how to picture of a pregnant woman. This woman was, had her hand on her, you know, her belly, but she was wearing a ring, a certain colored ring on a certain finger. It was not the ring finger, it was a different finger. Now, the person using the graphic is not thinking about it. They're thinking, okay, I'm communicating, travailing in prayer or laboring in prayer, and so they're using the picture. But that particular ring on that particular finger, that colored ring is communicating a different message. You know, I forget the color and all of that. I forget the details now. But it's talking about, I don't know, it was, you know, you can look it up online, but the rings worn on different fingers are having a different, sending a different message to a different audience. So immediately I had to collect, you know, get back to the graphic. Hey guys, please just, you know, touch up, remove the ring. You don't want to be communicating that kind of a message to our audience. I know what you're trying to say. You know, the message sermon is travailing in prayer, you're using the picture of a, you know, want to communicate the picture of somebody in labor, et cetera. But there is some detail which communicates a different message. So you need to touch up the graphic. And so they had to redo it and touch it up, you know. So some small things like this can, if we are not careful in the graphics that's being created, you know, it can cause, it can get different kinds of reactions from people and so on. So that's why there has to be these guidelines and I may have covered some of this in our earlier course last semester on when you talked about church administration. So in case there is some repetition, please forgive me, but, you know, when we talk about media, so media and media. So let's go over some of these guidelines. So it would be good if you as a pastor, as a leader, you're staying current with what's happening in media, design globally, and these websites here. And of course there are many others that will help you stay. Stay current with media treatments. You know, so I constantly keep giving feedback to our media team, media teams, hey, look at these new things that are happening. Here's some, you know, better ways to do things and so on. So that input if it's coming from you, it's very useful because sometimes, like we said, the media team or graphics team, graphics media, video team, IT team, they're very focused on the work. They may not be aware of these new ways of doing things. Understand that you're actually communicating through your video and graphics. It's not like I'm just putting out a video. I'm putting out a video. Every detail is actually communicating something to your audience. So you have to look for the details. Be clear of what your message is, what you want to convey, who you're speaking to, some other simple things. You know, the fonts should be very easily readable. So that's something they may overlook. They may want to use some very fancy font, but then it's of no practical value because once the graphic goes out, people are finding it so difficult to read what's written on the graphic. Then the whole purpose of that graphic or that video is lost. So you need to say, fonts, keep it simple. People should be able to read, you know, don't get too fancy where they can't read what's on the graphic. Color choices, keep it simple, relevant, be sensitive. Sometimes even colors are communicating meaning, you know. And so you've got to be very careful what colors are you using, what's the meaning that's been communicated. And while the colors are to be visually appealing, avoid class, blank space, don't overcrowd your image or your video. And the way things are arranged on the graphic, you know, what is being emphasized is also very important. You know, so how the fonts, font sizes, what is placed where all of these is, you know, very important. And visually the human eye is going to land on the largest or the heaviest element in the graphic or video. So what is it that you want to impact first? That should be highlighted.  So as a pastor, you're thinking, okay, this is the most important thing that should come out, should stand out in the graphic. But that may not be what they understand, right? So that needs to be, hey, this is what should stand out first. So these all details that, you know, if you establish some guidelines, then you don't have to keep checking all the time. They are following the guidelines and they know what should be emphasized in the graphic or the video. Because that's, you know, people are giving you maybe a few seconds in the graphic. So whatever hits the eye first is what they're going to go away with. So you need to get that across. Okay, just for those who might be interested, you know, there are these software design packages, graphic design packages that are available.  We have been receiving that benefit for many years now. There are also free applications that you could use for graphics work in case you're interested. So you need to establish some guidelines for your team. I'm just sharing some thoughts here that you could put down. You could, you know, copy paste this and use it for your team if you wish. Or you can write up your own guidelines, right? So constantly encourage your team to stay relevant in the style of the way they're creating graphics. You know, keep it relevant. So if you're in a very, if you're ministering to a very young audience, you know, they are, your audience is very aware of, you know, the changing designs and trends. So your team that's doing the church graphics must also stay relevant. Be very careful about the images. So tell the team, hey, no suggestive images, no questionable, don't use images where there's inappropriate clothing or any kind of provocative images.  They've gotten into trouble because they put out an image in their website, which some, you know, somebody raised an alarm say, hey, you can't do that. It's communicating a wrong message. You know, so even large Christian organizations have gotten into trouble when they were not careful and the images that they were using. So you've got to be very careful font style and size. Like I said, you know, it should be very clear. That's about that's the key. Uniformity, right? There's got to be a sense of uniformity across your work, the graphics, the videos. It almost, you know, and this is these are typical branding concepts where there's a sense of identity. There's a sense of uniformity and communication across platforms. So there's across, you know, the various ways of communicating with the graphics of the video. It's showing it's communicating that, hey, this is the same organization that's putting things out. So that's very important. It shouldn't look very separate, different. And then use relevant picture pictures and faces. You know, so example, if there is an announcement that's very specific to your crowd, use pictures that your crowd would relate to. Don't use pictures that are unrelated. Now, if you can, you can use pictures from your own congregation as well. So think of that should be, you know, thought through. If you're doing something for a global audience, yeah, then you can have a global, you know, all kinds of people faces and all that. That is fine. You're speaking to a global audience. So keep the casts mindful about video creation. Just a little bit here. In your video, again, same part. Be careful in what you include in your video. And keep it clean, keep it relevant. You know, let it be something that clearly represents biblical values, integrities, so on. Don't use anything that's questionable. And if anybody's in doubt, you know, tell them, hey, just check with me. If you're not sure whether you should use a video, a particular video or thing.  Now, we had a book, we have a book called Foundations. So our graphics person said, okay, what, what image would you like?  Okay, I just communicated that. Okay, so the graphics person went off to work. And then he did his graphic design. He sent it off to the Publications team. The Publications team sent it off to the printers. The book was printed. Now, I didn't check at that time, right? And finally, I get the printed book. And in the printed book, I am seeing something. I'm seeing pebbles, you know, a big pebble, a smaller pebble, a smaller pebble. And that was used on the book cover. Now, what did I communicate to the team?  So this graphic person found this, he used it. But that is actually communicating some eastern religion. You know, those pebbles stacked on top of each other is some eastern mysticism, something. So that's actually what that picture is communicating. I was like, oh, and the books have already been printed. You know, so I communicated something. I said, use stone, like construction work. In the mind of our graphics person, he said, hey, stones are being on top of each other. He was not thinking about what is this visual image? Where is it from? What is it actually communicating? And then the book was printed. Somebody saw the book cover and they pointed to me and I saw, oh, and that's on, you know. So then we had, but the books were already printed, like 2000 copies or whatever already printed, you know. So we just had to make use of it. And then I had to tell them, hey, please change the graphic. When I say construction, I meant brick. I didn't mean pebbles. I didn't mean that. I meant, you know, building a wall. So we had to kind of get a little bit more detailed in instructions. So I'm just giving an example where the graphic people, they're doing their work. They're doing the best, but they may not necessarily be looking at the details, the spiritual meaning of what is being communicated. And these mistakes have happened. And, you know, it's a little embarrassing at times. So we have to be careful. When you're using people from the church, you know, if you're using footage of events and so on, always communicate them in a good light. Don't show things that leaves people embarrassed. And so that's being sensitive in the kind of footage, video footage that they're using. Be careful, you know, when you're showing children, don't show video segments that are them doing dangerous things. Then, you know, it sends a wrong message and parents will get concerned. You know, these are my new details, but all these make a difference because this video will be played in the church or foreign church audience. We had to think about the duration of the videos. You know, today, the time, the duration of videos are getting shorter and shorter. So even then, you know, YouTube, Instagram, other platforms, they've shot very short videos. And people are just being trained to look at very short videos. So basically in a few seconds, you've got to communicate what you want to say. So that's important. And then make subtitles available so that if you have an audience that's not very, conversant with the language, example with English, then subtitles can help them. And of course, in an example in YouTube, you can automatically generate transcripts and so on. So you can provide that as well. In the voices on your videos, you know, choose exciting voices, you know, the tone of the voice, all of that is very important. You need the video team to be aware of it, aware of a possible short text with the voice or voice with text. If you want to reiterate the message, if that's depending on the situation, that may be relevant. Again, the fonts that I used, there must be consistency in the graphics videos, so on. Okay.  In the way, for example, how have you mentioned your date, how you mentioned your time when you, what acronyms you use. These are things that are important because if it is consistent, then with just a glance, people will catch it. So, if you are, for example, the day of the week, if you're saying Monday, you're using the three-letter, the short form, then use that consistently everywhere. Don't put M-O-N some places, M-O-N-D-A-Y Monday in other places.  The way you express the time, if you're using a 12 o'clock or 24 o'clock, use that consistently. So, you could say 2 p.m. Yeah, okay, people understand that, or you consistently say 14 hours. So, that's also 2 p.m. But how are you going to say, you know, use a consistent and use it what would be easy. So, when you say 2 p.m., no conversion is needed in the mind. If you say 14 hours, then in their mind, they need to convert 14 hours to 2 p.m. Right? So, that's one more step away. So, it's always better to say something like this. That's explicit rather than something that you're making them do over. And also, the sequence of the information, day, month, year, date, and day, yeah. So, the sequence in which you give is important, you know, okay, and the timing, the venue, the fee, the link, all that. So, if it's very standardized across all your graphics, across all your videos, people get accustomed to it, okay, this is what it is. This is where I can look for that information. So, it's useful to have some standardized way of doing things, giving URLs, use something that's easy to remember. So, for example, we would say, apc.org slash men's conference, you know, or kids' conference, or, you know, weekend school. Something that's easy to remember, short, that they can just type, and it'll take them to that particular page where they need to go. If you're using a rented venue, a rented space, then it's always good to say venue. That means it's not your place, but it's something that you're renting out so that there's no confusion, right? So, you can say, okay, apc.central, example, apc.central, the venue is this. So, apc.central is what you're, you know, it's part of your organization, your central church, but it's meeting at this venue. The venue is not yours. You're just using that as a venue to meet. So, it's very clear, okay? Once again, same thing when you're doing videos, be careful of the faces of people that you use. Use what's relatable to your audience. If you're using, if you're targeting a global audience, you can use global faces. If you are using people who come to your church, that would be, you know, even more attractive. And be careful when you're selecting the people whom you're using in the videos and so on. If you're using videos of children, take consent from their parents because parents may or may not want to, you know, have their children's faces appear in promotional material. So, got to be careful about that, right? Just a few more thoughts here. For graphics, videos, fonts, and music, there are a lot of places where you can source them. Many of them are free. Some of them are paid subscription based, but I've just given you a list of things that we use, where we get our footage, video, footage, graphics, fonts, music. You can go and make use of it as well. Many of them are free. Some of them may be paid, right? The other thing to keep in mind, let me pause here. Are you all with me? Any questions so far? You're all following. Okay. All right. So, I'm just sharing information that you could use when you're doing your work. Okay. So, when you are creating content, you also need to keep a search engine optimization in mind. So, even the graphics in the videos that we create should be optimized for search engines. Otherwise, that resource is, I'm not saying it's a waste, but it's important. It's play in search engine is being lost, right? So, it's good to tell the team, hey, guys, you're doing your graphics.  That's good. But when we are releasing it, when you're publishing it, keep in mind that they should add to our search engine optimization. It should serve its purpose, right? So, the title that's being used on the videos, of course, it should accurately represent the content, but it should also be relevant or useful for search engine algorithms. So, there are two things that are driving our use of titles. It should actually represent what you are talking about, but it should also be something that search engines would take and index and help improve your visibility. So, if it's an online example, you're doing live streaming, say live. That means, okay, this is a live stream of your church service or online church service. These things are useful, right? Use relevant hashtags or whatever content you're releasing, because that helps in making your content visible. Let me talk about this more when we talk about social media platforms and how to use these hashtags. For videos, take a little time to write a description. That helps for search engines and write the text that's, of course, optimized for search engines and wherever possible, you can provide links to relevant resources, of course. You want to also improve the search engine optimization for images, good quality images, use relevant file names for your images. See, you could label your image. I mean, your file name could be like this, and that's better than just saying image 1 and image 2. Image 1, image 2 doesn't convey meaning. This one is actually conveying some meaning in the name, and that's useful. And use relevant image titles and keywords for this. Use alt tags for your images. That means if in case the image doesn't load, there is a text that is displayed in its place. That's relevant. And, of course, use the right file types for your images. Typically use PNG, SVG, those types. And if possible, try and host your images on your own site so that that also helps in the whole search engine optimization. And let them be visible in your site map as well, these images. Similarly for videos. So what can we do? Use a thumbnail image that's engaging. Use a video transcript and pay attention to your title and description. Those are the things that will help in search engines. And the rest of your page, the content where this video is being shown, if the content on the rest of the page is relevant to your video. It shouldn't be like two different things. They should be relevant. That also helps. And don't put the same video in multiple places. Then it reduces your ranking because Google is saying that, hey, you're putting this up in so many different places. So that one video, you're showing it in many places. And like example, your website, maybe your church website and then it's hosted on YouTube or something. That's OK. But if it's the same thing being shown, it could impact your ranking. So think about that when you're distributing your videos. Just a little bit of understanding here.  So it's going to index your video using a lot of information. Your video content, of course, what's in the video. It's going to look at your thumbnail. It's going to look at the audio, your title, your description. And it's going to use all of these things to rank your video. And in addition to that, we're also looking at, so when a user, that means not you, so you're the producer of the video and you've done your part in the content, the thumbnail, the audio title, so on, that's your part, what you have control over. But when a user is on YouTube, for instance, YouTube is going to look at that user's past behavior what did that user watch, what did that user click on, etc. And it's also going to look at their satisfaction, what did they like, what did they dislike, what did they dismiss, etc. So it's keeping that information. And then, so here's the copies of all the videos available, which are in millions, maybe billions. And here's a user who's scrolling through YouTube or something else, some other, any platform. We're just talking in general terms. It could be YouTube or some other video platform. So you've got a huge number of videos. How is that platform going to present your video? So it's going to pull out, it's going to filter out. Okay, these are the videos that are best suited for this person, this individual, right? Based, and then it's going to look at the information it already has about this person in its store, in its own history and context. It's also going to look at this person's behavior, online behavior from other sources. So other platforms are also tracking this user's behavior and that some of that information may be shared. So this algorithm that's running on this particular platform is going to use the user's history and context that it has stored on that platform plus other sources. And then out of the millions of videos it will filter out down to hundreds. Then based on this information it will then rank. And then this is where what you have done comes into play, right? So this is what you have done. You have created a video, you've given it a title, you've given it a description, you've given it an image, cover image, relevant text, whatever. Those are the features of the video you've published. And then it's going to then present the video to the user. So what you do in terms of the content, the thumbnail, the text, the title, the description, all these little details have an effect, have an influence on whether or not the video you've submitted is going to be shown to the user. So putting an effort here to the video features is worth it. And if we do it intelligently, it will be presented to people to view. So put some effort into this so that eventually you want the videos to be visible, of course, or the content that you produced. You want it to be visible so that people can make use of them. So do your keyword search research. What are the keywords that you should be using? Include keywords in your video file name, title, description, script. Use a custom thumbnail where that can also add to the video features. Use compelling keywords, rich titles, and good video tags. So basically these are things that you could do to enhance the visibility of your video. You can cross check YouTube and search results, see how that video is doing, see, you know, of course, if there are more people engaged with the video, that will improve its ranking as well. You can't force it, but generally if people like or subscribe, that improves the visibility of what you're doing. You can create YouTube shorts of that video, share it, and then point back to the main video and so on. So think about this. I've put in a lot of points here that can help us improve the visibility of the content that you are releasing. Last thought, as far as releasing videos and graphics, especially when you're releasing videos that carry songs and music from other artists, it's very important to give credits. Otherwise your video will be blocked, especially in those parts of the world where copyright is important. So if you're using a song, so typically Sunday service, we are singing songs that have been written by different artists and bands, and if we don't properly acknowledge them, then that YouTube video will be blocked in certain parts of the world because it is violating copyright in those regions. So it's always good to provide in the description, give the credits, write credits for the songs that are being sung. So here's an example. What we do for all our Sunday service livestream, we give credits to all the songs that have been sung in the worship. And then your video will not be blocked, either by YouTube or even on Facebook, Facebook would block as well. So if you give the right credits, then it is released and it's made visible. Okay. So I know there was a lot of information, but any questions? So even if, you know, even if you yourself are not directly involved, you know, you can take this PDF that I've shared and pass it on to your graphic team. It's a guy's, hey, just read through this and see what, you know, we can use for our church and for our ministry, right? So that these standards and guidelines can be used. Of course, you can customize it. You can tailor it to your particular church or particular ministry. But if you follow these kind, these things in the, these guidelines, you'll have good quality. You'll have consistency. You'll make sure that you don't make mistakes in the graphics in the video. And also it'll give you good visibility of the content that you're producing. All right. So next week, or not next week, tomorrow, next lesson, which will be on social media. Again, I'll just share some thoughts on how we can use social media effectively and meaningfully for church and ministry. Okay. If there are no questions, no thoughts, we will close in prayer. Let me see any questions. No. All right. Let's close in prayer. Somebody could pray and we'll close. Could somebody pray? I'll pray, Pastor. Go ahead, Prabhakar. Dear Heavenly Father, we praise you, acknowledge your holy name.  Thank you for this wonderful opportunity, wonderful learning experience, Father. So we have been learning about this tools and technologies. Thank you so much for equipping us with all this wonderful insights. I thank you for the life of Pastor Ashish, Father, for his glorious insights, which he has been sharing with all of us, Father. I dedicate all of us so that we can be equipped as glorious leaders in the coming future to enhance the kingdom of God in this world and act according to your will, Father. Thank you so much for leading us throughout this class and right class. Glory and honor to your holy name. We ask this prayer in the name of Allah Jesus Christ. Amen. Amen. Thank you. Amen. Thank you. Thank you. Thank you, Roman. Thank you for being on the class. Enjoy the rest of your day. We will meet again tomorrow. Thank you. Bye now. Thank you. Thank you. Thank you.


Hello friends, so welcome to another session on problem solving on linear equations in two variables This is a word problem or the application of linear equation into problems here. We are dealing with fractions So let us first see what a fraction is. So a fraction will be of the form of n by d where n is numerator So this is a numerator and D will be denominator Isn't it denominator and where n and d both are Integers Integers, this is very important Okay. Now Let us solve this problem. What does the problem say the sum of the numerator? Let us now translate as we read also some the moment you see the word some so you have to add Something right. So this is plus some of the numerator and denominator of a fraction. So n Plus D. This is some is not the moment. You say is that means it is equal to Three less than so three is less than something. So that means minus three Twice the denominator. So that means 2d So three less than twice the denominator is some of the numerator and the denominator So, let us simplify this first equation.  You'll get D minus n is equal to 3 so this d goes here becomes sub you know reduces 2d 2d and And also goes here on the right-hand side and this 3 comes here. So Yeah, so this will be D minus n equals to 3 equation number one Right, then let's go to the second statement. What is the second statement? It says if the numerator and denominator are reduced by 1 The numerator becomes half or becomes means again becomes equal to half the denominator. That means if numerator and Denominator are reduced by 1 The numerator becomes half the denominator. So n minus 1 becomes half D minus 1 Okay, this is the so numerator once attracted from numerator and one subtracted from denominator So it says once you do this the numerator will become half the denominator. So let us simplify this You'll get 2n minus 2 is equal to D minus 1 That means 2n minus D is equal to 1 This is equation number 2 Right, let us highlight our equations. So this is equation number 1 and this is equation number 2 Now you know how to solve linear equation in two variables and these are very simple looking equations So what you can do is add 1 plus 2. Why am I adding 1 plus 2 because in Equation 1 there is D and in equation 2 there is minus D.  If n equals 4 then from 1 From 1 D minus n equals 4 Sorry D minus D minus n was equal to 3 3 so D minus 4 was equal to 3 because n we just found out is 4 So D is equal to 7 right, so fraction Required fraction you should write required fraction is 3 upon I'm sorry 4 upon 7 4 upon 7 4 upon 7 Let us check whether it is true or not so first condition was that Some of the numerator and denominator fraction is 3 less than twice the denominator So some this is checking. Let us check Some of this will be 4 plus 7 equals 11. Now this must be 2 times 7 minus 3 twice the denominator minus 3 which is 11 So both are matching. So hence it is correct. Let us also check the second one. So if Denominator is reduced by 1 so it becomes 3 and denominator is reduced by 1 it also it becomes 6 So 3 by 6 is half Which is true. That is what was mentioned in the question. So numerator becomes half the denominator So this is our fraction related problems in linear equation into variables will be solved. Thank you


Hi everyone, we are now at the end of the end. We are at the last part of the last lecture of our calculus one series. And so before we put this course to bed, I do want us to say a little bit more about integration and in particular with its relation to symmetric functions. There's two types of symmetries that we've been very interested in this semester. There's the idea of even symmetry and odd symmetry. And do recall that a function is even when if we take f of negative x, this is equal to just f of x. So if you reflect the function across the y-axis, you get the exact same graph. It's unaffected by that reflection. Odd functions are similar here. They have the property that if you take f of negative x, this is equal to negative f of x. So geometrically speaking, a function is odd if a reflection across the y-axis is equivalent to a reflection across the x-axis. And that's equivalent to saying that the, if you rotate around the origin, you get the 180 degrees, you get the exact same picture here. And so if your function's even, I want you to notice that if you integrate an even function from negative a to a, f of x dx, this will just equal two times the integral from a to zero of f of x dx. And the basic idea behind that is the following. If your function is even, then maybe it looks something like the following. It's symmetric with respect to the y-axis. So if you go from negative a to a, it's the exact same distance from the y-axis, then the area under the curve here is just gonna be, the total area of the curve is just twice as mount as the area under the curve from the y-axis, just to the right. That is the right hand side there. So if we just wanna go from zero to the right, that helps us out here a lot. And why does it help us out a lot? Well, it really just comes down to benefits of arithmetic, right? We have to calculate these things. There's some number crunching going on there. If I had a choice between any number or zero, hands down, I'm gonna wanna pick zero. And so that bit of arithmetic can help us out here in this type of calculation. When it comes to an odd function on the other hand, though, how does odd symmetry affect the anti-derivative? I should say, how does it affect the integral? Well, if you integrate from negative a to a of f of x dx, the area under the curve is just zero. Absolutely zero, which is just fantastic. And so geometrically, what we're saying is the following. If we have some type of, some type of, let's take an odd function, so it's symmetric with respect to the y-axis. And let's say we go from negative a over here to a. We're saying that the amount of area that's above the x-axis here is gonna be opposite and equal to the amount of area that's below the x-axis. So when you take the net sum of these things, it always adds up to be zero. Which one nice thing about odd functions here is if you integrate an odd function along the symmetric interval, it does need to be a continuous odd function, by the way. But if you integrate a continuous odd function on a symmetric integral interval, then the area under the curve is always zero. You don't need an anti-derivative. You can recognize symmetry and then to say it's zero, drop the mic and walk away. And the basic reasons behind this, so I've given you some geometric intuition behind that, but we can prove this thing algebraically as well. Because if you were integrating negative a to a of f of x dx, in both situations, you could break this up to negative a to zero f of x dx and then you add that to the integral of zero to a f of x dx. It's always true that you can take an integral and break it up into pieces using some intermediate value, some zero that sits between negative a and a right here. And so for the first case, if we have, well, and so I guess for both cases still let's switch the order of the first one right here, switch the zero and the negative a. And so you're gonna get this statement, the integral of zero a f of x dx. I just bought the second one first. And then you can subtract from that the integral from zero to a f of x dx, like so, and so this original expression is just equal to this right here. And so now this is where the even and odd business is gonna come into play. So let's suppose that first that we are even, right?  And so what we're gonna do is we're gonna do a U substitution here, just for the second one here. There should be a minus sign right there, I forgot to put. So for the second one, we're gonna use the substitution U equals negative x and hence dx, sorry, du is equal to just negative dx. And so this puts our integral looking as, we have the integral from zero to a f of x dx plus the integral from zero to a of f of negative x. So I should say f of U, what did I do here? I'm sorry, I do need a negative U right there.  So the idea is when you make the substitution x equals, x equals U equals negative x. This is the same thing, same negative U equals x right here. So you're gonna get this f of negative U going on right there. This also will change the upper bound. So it'll be a A instead of a negative A right there. And so at this moment's where you can use symmetry. So if your function was even, then the substitution here is that f of negative U will become f of U. And so under the even hypothesis, this statement looks like the integral from zero to A f of x dx plus the integral of zero to A of f of U du. And although the variables are different, f of x and f of U, it's the same thing. And this is just gonna double up and give us two times the integral from zero to A of f of x dx, okay? That's what happens for the even case. For the odd case, though, for the odd case, things are a little bit differently. You get zero to A f of x dx, and then you get plus the integral from zero to A. Well, in the odd case, f of negative x here notices negative f of x.  And you can move this negative sign out in front. And so you're gonna get the integral from zero to A of f of x dx minus integral from zero to A of f of U du. And so again, even though the variable is different, x versus U, this is the exact same quantity and these things will cancel out to give us a zero there. So that's enough talking about the justification. Let's actually see how one uses this in practice. So this function, or this integral right here, integrate from negative two to two, x to the sixth plus one dx. And so you'll notice here that we have a symmetric interval. We're going from negative two to two. So when I see things like that, I sort of ask myself, is there any type of symmetry going on here? And symmetry is not so hard to check here. If you take f of x to be x to the sixth plus one, then f of negative x will equal negative x to the sixth plus one. And when you take an even power of a negative, that actually makes it a positive. We get x to the sixth plus one, which is just f of x. This is indicative that our function is even. And the reason we call it even functions, if you look at all the powers of x, you have only even power, six is even number. The one of course is x to the zero, which is an even power as well. So this is an even function. So by the integral of even symmetric functions we saw before, this will equal two times the integral from zero to two of x to the sixth plus one dx. We do still have to calculate an anti-derivative with that anti-derivative will look like x to the seventh over seven plus x, but we evaluate from zero to two. And so when we plug in the two, we get two times, two to the seventh over seven plus two. But then we're gonna get, when we plug in the zero, we get zero to the seventh over seven plus zero. You'll notice that this last term right here, everything just goes to zero. And that's exactly what's gonna happen right here. And so this observation of symmetry is just for the arithmetic benefit of things. Plug it in zero with all these fractions is so much nicer than any other number. So we use that as a benefit just to simplify the calculation of the integral we have in front of us. The rest of what we still have to do, we start doing our powers of two. We have to do two to the seventh. We can use a calculator, but if we've played the game 2048 enough, then we might actually have these memorized. And so two to the seventh, we can just count on our fingers if we have to. We get two, four, eight, 1632, 64, 128 over seven plus four, two times two. Of course, we can times two by another, or 128 by another two. So we get 256 over seven. And we have to add four to that, which we're gonna write that as 28 over seven. Combining like terms, we end up with the final form 284 over seven. So it's not that we could avoid all of the arithmetic, but the fact that we were able to plug in zeros at one point did make the final result a little bit easier to do. Again, it's not necessarily a saving grace here, but it makes it a lot easier to do with this one. We turns out in calculus two, one sees this type of even symmetry all the time and we're very grateful for it. What about this one right here? The integral from negative one to one of tangent of x over one plus x squared over x to the fourth. Look at this one right here. It's a symmetric interval again. So is it symmetric? Is the function symmetric? And so if we take f of x to be tangent over one plus x squared plus x to the fourth, this one might not be as obvious here, but if you look at f of negative x, oh boy. f of negative x there. You're gonna end up with tangent of negative x and you're gonna have one over negative x squared plus negative x to the fourth. And so tangent is an odd function. So you get negative tangent of x on the top. On the bottom, you have even. All the even powers absorb the negative signs. And so you'll notice you end up just negative f of x from negative f of x there. So this indicates that the original integral is odd. And so if we wanna calculate an antiderivative of this thing, that is gonna be monstrous. I will be impressed if you can find an antiderivative of this function at this stage of the game, right? But we don't need an antiderivative because we're integrating an odd function along the symmetric interval. The theorem before says that this thing is zero and we're done. That's all that one has to do. As a fun little story, a couple of years ago, I gave a question very similar to this on a final for calculus one. It was a multiple choice question, right? And all the students had to do was select the option zero. That's all I wanted to do. I thought I didn't think it was gonna be such a hard problem but it blew their minds away. They did some crazy stuff trying to find antiderivatives. And this is calculus one, mind you, they had no idea what to do. So I now put this as a warning, right? Look out for odd functions. If you can use those to evaluate antiderivatives, sorry, if you can use symmetry to help you with integrals, you might be able to avoid having to compute antiderivatives, which is the fundamental hardest part of these type of questions here. And so that brings us to the end of this video here and also brings us to the end of our lecture series, Math 1210 Calculus One for students at Southern Utah University. It's been a good course. I hope everyone enjoyed these videos and learned a whole lot. If you have any questions, feel free to always post them in the comments below. Like these videos, subscribe so you can learn more about fun math things in the future, right? Check out my playlist for Calculus Two, Math 1220. If you wanna learn some more about calculus, all right? And I hope to see you all sometime in the future. Everyone keep on calculating, bye.


Money builds status, and status is a fungible, kind of usable power. But in general, I find people do not change that much. Personality traits are very stable over your life. People with high dark triad traits, narcissism, macrivalinism, psychopathy, that stays very stable whether you're poor or rich. So don't worry too much about money corrupting you. For the most part, making more money will actually require you to do some virtuous things, become more disciplined, become more organized, wake up a little bit earlier, give up a little bit slower.


Hi and welcome to the session. My name is Shashi and I am going to help you with the following question. Question is, on comparing the ratios A1 upon A2, B1 upon B2, C1 upon C2, find out whether the lines representing the following pairs of linear equations intersect at a point are parallel or coincident. The equations are 9x plus 3y plus 12 is equal to 0 and the other equation is 18x plus 6y plus 24 is equal to 0. First of all, let us understand that if in a pair of linear equations A1x plus B1y plus C is equal to 0 and A2x plus B2y plus C2 is equal to 0, we have A1 upon A2 is not equal to B1 upon B2 then the lines intersect each other. If A1 upon A2 is equal to B1 upon B2 is equal to C1 upon C2 then the lines are coincident and if A1 upon A2 is equal to B1 upon B2 is not equal to C1 upon C2 then the lines are parallel. This is the key idea to solve the given question. Let us now start with the solution. Let us rewrite the equations given in the question. That is 9x plus 3y plus 12 is equal to 0 and 18x plus 6y plus 24 is equal to 0. These equations are of the form A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. Comparing the equations we get A1 is equal to 9, B1 is equal to 3 and C1 is equal to 12. Similarly comparing the other two equations we get A2 is equal to 18, B2 is equal to 6 and C2 is equal to 24. Now A1 upon A2 is equal to 9 upon 18 which is further equal to 1 upon 2. Similarly B1 upon B2 is equal to 3 upon 6 which is equal to 1 upon 2. Now C1 upon C2 is equal to 12 upon 24 is equal to 1 upon 2. Now we can see that A1 upon A2 is equal to 1 upon 2. B1 upon B2 is equal to 1 upon 2 and C1 upon C2 is equal to 1 upon 2 which implies A1 upon A2 is equal to B1 upon B2 is equal to C1 upon C2 equal to 1 upon 2. Right? By the key idea the lines representing the equations 9x plus 3y plus 12 is equal to 0 and 18x plus 6y plus 24 is equal to 0 are coincident. Hence the lines are coincident is our required answer. Hence this completes the session. Hope you understood the session. Take care and good bye.


What to do with realization of emptiness, of open space, is Eros, is Tantra. It's weaving the realization of open, spacious, compassionate love into the creative cosmic ties of existence. It's holding loving transformative space for those that earnestly desire transformation. It's pretty obvious. So there's a strong seeking impulse that comes. And there's the desire to know what one is, to know what reality is, to know what truth is. And so we can use this analogy of an amusement park where we're in the amusement park and we're trying to find what is the source of the amusement park. And so we're looking around for the source of the amusement park everywhere, trying to find something that brings us lasting peace, happiness, well-being, joy, love. And the ironic thing, as always, is that we are literally carrying the answer as the pupil. The pupil itself is empty space. It is emptiness. It is the aperture. It is the uncreated. It is the unmanifest. It is non-being. It is non-existence. That's you. And it's looking at, perceiving, exploring, experiencing, being, existence. So right there, you transcend the duality between the two into non-dual, where the subject-object collapses, the self-other collapses, the God-human collapses, all of those dualities collapse. And so in this analogy of the amusement park, we don't find some transcendent escape that exits us and removes us permanently from the amusement park and never go back to it. Because that's not non-dual. That's not integration. Once you realize the empty, spacious, open nature of mind, of what you truly are, you weave the realization back into the amusement park. You hold the loving transformative space for all of yourself in the amusement park. True arrows. True love. True openness. Just like the loving transformative space was held for you in your process, in my process. That's love. That's non-duality. That's tantra. Emptiness equals arrows, or zeros equals arrows. So arrows with a Z at the beginning, zeros equals arrows. And it makes perfect sense because when we initially felt that suffering within ourselves and that seeking impulse, we oriented ourselves towards truth and towards service to others, or STO, rather than service to self. And so the ultimate expression of service to others at the end of the path upon realizing open space is obviously arrows. The ultimate expression of service to others is arrows. It's to be empty love. Space for earnest transformational desire.


People who are materially deprived are more likely to engage in criminal activities, such as stealing, due to a lack of resources and the potential for a quick return to a better financial state. This behaviour is further exacerbated by a lack of trust among those who are materially deprived, which is caused by the experience of being stolen from by others in similar situations. This article was authored by Satyaj Rathkani, Eleanor Holton, Binwater Cawson and others.