(adsbygoogle = window.adsbygoogle || []).push({}); What are the dimensions of the largest rectangle that can be drawn in the closed region bounded by the x- and y-axes and the graph of the function y = 8 - x^{3}

A=lw=16

D= 2l + 2w = 2l + 16/l

I started off by graphing the equation. They-intwas8and thex-intwas2.

Thus, I established that the total area bound by the axes was16.

Afterwards, I found the stationary points of D:

D'=2-32/l^{2}

D''=-64/l^{2}

The stationary point was four and thus as D'' was a negative, D is a maximum. L=4 and thus w=4 and the total dimensions were16.

However, this waswrong, the answer was15. I think I may have interpreted the question incorrectly but could someone please point out my error? Thank you.

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# Homework Help: Maximum and Minimum Question

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