1. The radius of a sphere is expanding at a rate of 14 in/min.
a) Determine the rate at which the volume is changing when the radius is 8 in.
b) Determine the rate at which the surface area is changing when the radius is 8 in.
2. A particle moves along a path described by y=4-x^2. At what point along the curve are x and y changing at the same rate?