34. Average Value and the 2"d Fundamental Theorem - Homework 1. Find the average value of the function f on the given interval. Do not use calculators. a. f(x) = x' -2x [0,3] b. f (x) = cosx+1 c. f (x) = Vx [1,9] d. f (x )= = [1,5] e. f(x)= xx'+1 [0,2] f. f(x) =2sinxcos.x 2. Find the value of c guaranteed by the Mean Value Theorem for Integrals. No calculators on a and b. a. f (x) =4-x [0,2] b. f (x) =4x- x* [0,3] c. f(x)=x' -x+1 [0,2] d. f(x) = xsinx [0, vx ]