Asked by Ashley

Find two positive numbers whose sum is 8 such hat when the cube of th first number is multiplied by the second number, the result is maximum.

Answers

Answered by Steve
the numbers are x and 8-x, so

f(x) = x^3 (8-x)
f' = 4x^2 (6-x)
f'=0 at x=0,6
and has a maximum at x=6
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