April 25, 2015

Homework Help: Calculus Optimization Problem

Posted by Mary on Wednesday, March 6, 2013 at 1:10pm.

Find two positive numbers whose sum is 15 such that the product of the first and the square of the second is maximal.

I came up with this so far:
x + y = 15
xy^2 is the maximum
derivative of xy^2= 2xyy' + y^2
Now how do I solve this ^ after I set it to zero? I am stuck on that. Thank you so much

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