Hello,NeF,Originally Posted by NeF
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.
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.