Consider the equation below. (If an answer does not exist,

Last updated: 7/20/2022

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 cos²(x) - 10 sin(x), 0≤x≤2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)