Analytical Geometry with Calculus Take Home Quiz Help... Maxima and Minima Word Problems?

Question

1) Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum.

2)The sum of the bases and the altitude of a trapezoid is 36 inches longer than the other. Find all three dimensions if the area is a maximum.

3)Find the shortest distance from the curve (y² = x³) to the point (8,0).

Please help me.. I can't really solve it..

Answer 1

I already solved 1 and 3 for you.. Number 2 is unclear and needs clarification.