1. If the temperature of a gas is held constant, then Boyle's Law guarantees that the pressure P and the volume V of the gas satisfy the equation PV = c, where c is a constant. Suppose the volume is increasing at the rate of 15 cubic inches per second. How fast is the pressure decreasing when the pressure is 125 pounds per square inch and the volume is 25 cubic inches?
2. Herman is cleaning the exterior of a glass building with a squeegee. The base of the 10 foot long squeegee handle, which is resting on the ground, makes an angle of A with the horizontal. The top of the squeegee is x feet above the ground on the building. Herman pushes the bottom of the squeegee handle toward the wall. Find the rate at which x changes with respect to A when A = 60 degrees. Express the answer in feet per degree.