use Lagrange Multipliers to solve. A rectangular tank with a bottom and sides but no top is to have volume 500 cubic feet. Determine the dimensions (length, width, height) with the smallest possible surface area.
you need amistre for this. he is a lagrange multiplier user
bookmarking for future reference.
l*b*h=500 l*b+2(b*h+l*h)=surface area diiferentate the first eq to get b*h dl +l*b dh + l*h db=0 differentiate the second to get
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