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April 23, 2014

April 23, 2014

Posted by **Ass11** on Thursday, November 24, 2011 at 1:53am.

I have no idea where to start with this question. Please show work so I can follow along :)

Thanks in advance!

- Calculus - Optimization -
**MathMate**, Thursday, November 24, 2011 at 7:31amLet

L=length, then

girth=84-L=2*radius=2R, or

R=(84-L)/2

Volume, V = πR²L

Express V in terms of L using R=(84-L)/2

Equate dV/dL=0 and solve for L.

- Calculus - Optimization -
**Yenn**, Wednesday, December 12, 2012 at 10:14pmQuestion Part

Points

Submissions Used

A parcel service will only accept packages with a length of no more than 96 inches and length plus girth of no more than 156 inches. (See the figure below.) Assuming that the front face of the package (as shown in the figure) is square, what is the largest volume package that the parcel service will accept?

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