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using the derivative of a volume function we find the spherical cap that maximizes volume given a fixed surface area. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ... In this video I'm going to go through an example of an Let "x" be how far downstream you swim. * Create expressions for distance swam and distance ran * Time = Distance over Speed ... Join my mailing list! Join my Patreon! A poem from the 3rd century ...
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How to Solve ANY Optimization Problem [Calc 1]
Optimization Problem in Calculus - Super Simple Explanation
Walk-Swim Optimization Problem
Optimization: cost of materials | Applications of derivatives | AP Calculus AB | Khan Academy
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What Direction Should you Swim in? Swim, Run at different speeds; Optimization, Derivative.
optimization problems ultimate study guide (area & volume)
Did Archimedes Write a Problem That Took 2,200 Years to Solve?
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Last Updated: June 24, 2026
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