Let g(x) = f(t) dt, where f is the function whose graph is shown. 15 f 10 S 5 10 10 5 15 15 20 20 25 25 30 35 35 (a) Evaluate g(x) for x = 0, 5, 10, 15, 20, 25, and 30. g(0) = 9(5) = g(10) = g(15) = g(20) = t g(25) = g(30) = (b) Estimate g(35). (Use the midpoint to get the most precise estimate.) g(35) = (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = maximum x = (d) Sketch a rough graph of