Question

Find two
positive numbers whose sum is 16 and the sum of
whose cubes is minimum.
quired positive numbers​

Answer 1

Answer:

Let the sum of the cubes of these numbers be denoted by S(x). Then, ∴ By second derivative test, x = 8 is the point of local minima of S. Hence, the sum of the cubes of the numbers is the minimum when the numbers are 8 and 16 − 8 = 8.

Step-by-step explanation:

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