05 - 08 Number Problems in Maxima and Minima

Problem 5
The sum of two positive numbers is 2. Find the smallest value possible for the sum of the cube of one number and the square of the other.

Solution 5

 

Problem 6
Find two numbers whose sum is a, if the product of one to the square of the other is to be a minimum.

Solution 6

 

Problem 7
Find two numbers whose sum is a, if the product of one by the cube of the other is to be a maximum.

Solution 7

 

Problem 8
Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to be a maximum.

Solution 8

 
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