r" ** ****** ,,,, in, .1 i" ,,,,,1_ "**" W' ,,,, r,,,,,,,,, r*****' Exercise B. The resting metabolic rate is the rate at which a person or animal uses energy when it is at complete rest. For mammals, resting metabolic rate M is related to body mass B by the equation M : 0.8B3/4. Page 1/2 LS3UA 7 HOMEWORK 6 a) Find the linear approximation to the function ILHB) for a body mass of 625 grams. b) An animal species that currently averages 625 grams in mass evolves to have an average mass of 630 grams. Use the linear approximation to estimate how much its metabolic rate would change. Exercise C. a) Approximate the area under the curve of the function f(X) = X 3 + 1 between X = 2 and X : 5 using a step size AX : 1. (Remember to show your work!) b) Compute the actual value of this area. c) How could you make your answer in a) closer to your answer in b)