1. Evaluate the integral by interpreting it in terms of areas. (a) J (2x - 1) dx (b) 1 ( 1 + 1 9 - x2 ) dx -3 2. The graph of a function f is shown below. Let g be the function defined as g(x) = f(t)at If 5 (a) Find g(0),g (3), g(6) (b) On what interval is g decreasing? Increasing? (c) Where does g have a minimum value? (d) Does g have a local maximum? If so, at what x value? (e) On what interval(s) is g concave up? Concave down? (f) Find g'(0), g'(3), g'(6) (g) Find g"(3), g"(4) (h) Sketch a graph of g