Consider the following. (If an answer does not exist, enter DNE.) f(x) = 5 sin(x) + 5 cos(x), 0sx s 2n (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) ( 0 . # ) U ( S# , 2 T ) Find the interval on which f is decreasing. (Enter your answer using interval notation.) 4' 4 (b) Find the local maximum and minimum values of f. local minimum value DNE X local maximum value DNE X (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 f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)