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Derivatives : Maximum and Minimum Values

9). Find the dimensions of a right circular cone of minimum volume that can be circumscribed about a sphere of radius 8cm.

32 , 8root

11. The sum of 2 positive numbers is 20. Find the numbers if
A) their product is a maximum
B) the sum of their squares is a minimum
C) the product of the square root of one and the cube root of the other is a maximum

12). The product of 2 positive numbers is 16. Find the numbers if
A) their sum is a minimum
B) the sum of one and the square of the other is a minimum

Solution Summary

Maximum and minimum values are found using derivatives. The solution is detailed and well presented.

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