A box is to be made out of a 10 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W is less than or requal to L).

Find two numbers A and B(with A is less than or equal to B) whose difference is 32 and whose product is minimized.

Find the minimum distance from the parabola

to the point (0,-3).