[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.

Question

stamp · Answer

|dw:1361650404654:dw|

anonymous · Answer

|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.

stamp · Answer

@Xavier Wouldn't your diagram be w/2 and h/2?|dw:1361665585440:dw|