When a snowball melts, its total area and volume decrease. The total area and its decreasing volume. The total area, in square centimeters, and the volume, in cubic centimeters, are represented respectively by the equations. =42 and =433, where r is the radius in centimeters. a) Determine the average rate of change of the total area between an interval r and r + h. b) Determine the average rate of change in volume between an interval r and r + h. c) What is the average rate of change of surface area and volume when the radius decreases from 5 cm to 10 cm? d) Estimate the instantaneous rate of change of the total area and volume when the radius is 7 cm. e) Comment your answers in c) and d). f) Find the equation of the tangent to the area curve for r =7cm g) Plot the two graphs (area and volume) with the DESMOS software as well as the tangent. (Adjust the scales so that the graphs are readable). h) Copy and paste your graph into this document