Problems 67–75. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.

If f (x) = 1/4 x³+ 1 and g(x) = 3/4 x², find all numbers c in the interval [0, 2] where g(c) equals the average rate of change of f over the interval.