I. Find all the critical points for each of the following functions ex/3 a. f(x) x2 +9 { f(x) = [ (e^(x/3)) / (x^2+9)] } %3! b. g(x) = 3 - |5 - 2x| { g(x) = .3 - |5 - 2x|.. } %3D II. Find the maximum and the minimum of the function on the given interval. Evaluate the function at all critical points in the interval, as well as the endpoints. ex/3 a. f(x) : on the interval [0,5] x2 +9 !! { f(x) = [ (e^(x/3) / (x^2+9)] } b. g(x) = 3 - 5 - 2x| on the interval [1,6] optimization on interval I. Find all the critical points for each of the following functions x-3 2x +1 a g(x) %3D g(x) = [ (sqrt(x-3) / (2x+1)] } b. f(x) = 2-1 %3! { f(x) = [3/ (x^2 - 1)1. II. Find the maximum and the minimum of the function on the given interval. Evaluate the function at all critical points in the interval, as well as the endpoints. x-3 a. g(x) = 2x+1 { g(x) = [ (sqrt(x-3) / (2x+1)] } on the interval [4,8] b. f(x) = -1 %3! f(x) = [3/ (x^2 - 1) . on the interval [2,5)