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What's The Largest Area?

What's The Largest Area?

What's The Largest Area? An Exercise in Calculus

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BL
Jan 06, 2025
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Math Games
What's The Largest Area?
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I found this puzzle on blackpenredpen’s YouTube channel. There he presented a non-calculus method, which involves an application of the AM-GM inequality.

The curve is a standard cubic function, y = x³ and the horizontal line gives us the bound for the rectangle at x = 3.

Personally I will use a simpler and more elementary method using calculus.

Give this little puzzle a go!

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