1. (10 pts) Let f (it) be the piecewise function shown in the graph on the interval [0, 6]. Note that two of the pieces are linear, while the third is a semicircle. Let A] be the physical area between x) and the sat-axis on ID, 2], A2 be the physical area between f (:c) and the x-axis on [2.4] and A3 be the physical area between f (x) and the x-axis on [4, 6]. (Those are indicated on the graph.) Let A=A1+A2+A3. a) (3 pts) Use a Riemann sum with midpoints and 3 rectangles to approximate A. b) (2 pts) Is your answer in a) an overestimate or an underestimate for A? Explain. 6 c) (2 pts) Express / f(l') (in: in terms of A], A2, and A3. Explain why it is different a from A. 6 d) (3 pts) Use geometric area formulae to calculate / f (:6) dz. 0