The sum of two positive numbers is 5. What is the value of the larger number if the product of the smaller number and the cube of the larger is a maximum?
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So a + b = 5 and some f(x) = a(b)^3.
a = 5-b
Max occurs at f'(x) = 0
b = 0, 15/4
f''(15/4) < 0
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