1. Find two non-negative numbers whose sum is 12 such that their product is an absolute maximum.

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

A:

Q: Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Suppose numbers are x and y then  xy=100    ....(1)

Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

Q: Find two positive numbers whose product is 50 such that the sum of the first plus 2 times the second…

A: Given, Product of 2 positive number is 50  First number+2(second number)=S, is a minimum.

Q: nd the maximum area (in m) of a rectangle with perimeter 100 m.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.