Question: 1. If V(r) represents the volume of a sphere of radius r and S(r) represents its surface area, it can be shown that V'(r) = S(r). Use the fact that S(r)=4πr2 to obtain the formula for V (r).
2. The average value of the function v(x) = 6/x2 on the interval [1, c] is equal to 1. Find the value of c.