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January 31, 2015

January 31, 2015

Posted by **danny** on Thursday, September 27, 2012 at 11:36pm.

- college algebra -
**Steve**, Friday, September 28, 2012 at 11:18amv = x(20-2x)^2

using what you know about the shape of cubic curves, clearly there is a maximum volume for 0 <= x <= 10 (this is also the domain of v)

Naturally, volume is zero when x=0 and when x=10.

A little checking of values will show that v(x) is max when x = 10/3.

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