Find two numbers, each greater than or equal to - 2 whose sum is `1/2` so that the sum of square of the first and cube of the second is minimum.

How should we choose two numbers, each greater than or equal to -2 whose sum is 1/2 so that the sum of square of the first and cube of the second is minimum?

Divide 4 into two positive numbers such that the sum of the square of one and cube of the other is a minimum.

Find two numbers whose sum is 15 and the square of one multiplied by the cube of the other is maximum.

Find four terms in A.P. whose sum is 20 and the sum of whose squares is 120.

Find two positive numbers whose sum is 14 and their sum of squares is minimum .

A wire of length 36 cm is cut into two pieces . One of the pieces is to be made into a square and the other into a equilaterel triangle. Find the length of each piece so that the sum of the areas of the square and the triangle is minimum.

Find the sum of the first a terms of the series whose nth term is: 3n^2+5 .

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.