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Optimizing Cups to Get Every Ounce of Sauce Possible

Math The World 16,091 11 months ago
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We heard the people. More Sauce. More Math. More Optimizing. In this Math OverKill part 2 video we tackle more saucy questions to optimize the amount of sauce in a condiment cup all while diving into multivariable calculus and partial derivatives. We address misconceptions about optimizing in 2D and tackle questions like "what is the optimal angle if we can overfill the cup?" and "what if we could change both the angle and the radius of the cup?" So join us even further down this rabbit hole in this week's episode of Math The World. OverKill part 1: https://www.youtube.com/watch?v=LXzN5aex44Y Here is the link to the video made by YouTuber @CooperGiles-mv3jn who solved the problem assuming the cone shaped overfill: https://www.youtube.com/watch?v=g4bNhXX1oRw Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?” We use unique topics for algebra, trigonometry, calculus, and much more and go beyond context problems and use a technique called mathematical modeling to find solutions to real world questions and real world problems. These videos are great for students who plan to enter technical fields that require real world problem solving, and can be a great resource for teachers looking for ways to bring real world contexts into their classroom. Instagram: https://instagram.com/maththeworld Twitter/X: https://twitter.com/math_the_world Facebook: https://facebook.com/maththeworldproject Email: [email protected] Created by Doug Corey Script: Doug Corey and Jennifer Canizales Audio: Doug Corey Animation: Jennifer Canizales Music: Coma Media © 2023 BYU

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