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OpenStudy (stamp):
[CALCULUS - OPTIMIZATION] A rectangular beam is cut from a cylindrical log of radius 30 cm. The strength of the beam of width w and height h is proportional to wh*h. Find the width and height of the beam of maximum strength.
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OpenStudy (stamp):
|dw:1361650404654:dw|
OpenStudy (anonymous):
|dw:1361652357228:dw| You can find h(w) due to the constraint there. So you have f(w) = w*(h(w))^2 which you need to maximize.
OpenStudy (stamp):
@Xavier Wouldn't your diagram be w/2 and h/2?|dw:1361665585440:dw|
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