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Optimizing Cups to Get Every Ounce of Sauce Possible

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Math The World

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:    • The Optimization Problem No One Cares...  

Here is the link to the video made by YouTuber ‪@CooperGilesmv3jn‬ who solved the problem assuming the cone shaped overfill:    • The Mathematically Optimal Way to Hol...  

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.

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Twitter/X:   / math_the_world  
Facebook:   / maththeworldproject  
Email: [email protected]

Created by Doug Corey

Script: Doug Corey and Jennifer Canizales
Audio: Doug Corey
Animation: Jennifer Canizales
Music: Coma Media

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