Let g(x) = f(t) dt, where f is the function whose graph is shown. y 3 fit) 1 10 20 30 40 -2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax = (larger x-value) (b) Where does g attain its absolute maximum value? X = (c) On what interval is g concave downward? (Enter your answer using interval notation.) (d) Sketch the graph of g. y y 3 2 1 10 30 40 10 20 30 40 y y 2 2 1 10 20 30 40 B0 40 X X. -1 -2

find the local maximum and minimum values and saddle point(s) of the function. if you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (enter your answers in a comma separated list. If an answer does not exist, enter DNE.) f(x,y) = x^4 + y^4 -4xy + 4