Hello,NeF,Originally Posted byNeF

You'll get the maximum value for V if . Thus:

. Therefore: .

Solve this equation for x and you'll get x = 0 or x = 20. x = 0 produces obviously the minimum value of V, so at x = 20 V has its maximum.

to 15.2:

x + y = 48. Therefore:

y = 48-x

Sum of squares: . I assume that there isa typo in your text.

As you can see is the equation of a parabola opening upward. So the smallest value is at the vertex where the derivative of s is zero:

. this expression is zero if x = 24. That means if x = y = 24 you get the smallest sum of the squares.

Greetings

EB