Related rates prob

: 131.151 Calculus 1 for Engineers: Related rates prob
   By Anonymous on Monday, December 12, 2005 - 06:22 pm: Edit Post

Hi Mr Sasho,

I'd like to know how to solve exercice number (5)in:
http://www.umanitoba.ca/student/exams/site/data/136151-121200-F-851401618.pdf


   By Sasho on Monday, December 12, 2005 - 07:08 pm: Edit Post

V=volume
x,x,y = dimensions of the box
S=area of the box (no lid).

V=x2y
S=x2+4xy

It is given that S=1200 so that x2+4xy=1200 and so y=(1200-x2)/4x. Put this in the formula for the volume to get V=x2(1200-x2)/4x, and use our theory to find the absolute maximum of that function.


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