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April 1, 2015

April 1, 2015

Posted by **Derek** on Monday, October 29, 2012 at 8:51pm.

- Calculus -
**Reiny**, Monday, October 29, 2012 at 9:18pmbase --- x by x ft

height -- y ft

area = 4xy + x^2

192 = 4xy + x^2

y = (192 - x^2)/(4x)

V = x^2 y

= x^2 (192-x^2)/(4x)

= 48x - (1/4)x^3

dV/dx = 48 - (3/4)x^2 = 0 for a max of V

(3/4)x^2 = 48

x^2 = 64

x = 8

then y = (192-64)/(32) = 4

max Volume = (8^2)(4) = 256

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