Activity 4.2: The Derivative as Rate of Change I. Solve the following problems. 1. The volume of a cube with sides of length s is given by V = $3. Find the rate of change of the volume with respect to s when s = 6 centimeters. 2. The area of a square with sides of length x is given by A = s. Find the rate of change of the area with respect to s when s = 6 meters. 3. The annual inventory cost C for a manufacturer is C = 1,008,00 Q + 6.30 where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 350 to 351, and compare this with the instantaneous rate of change when Q = 350. 4. A right circular cylinder has a fixed height of 6 units. Find the rate of change of its Volume V with respect the radius r of its base