1. Find the function f(x) if f"(x) = x/ - 2x + 4, f(1) = 2 and f(0) = -1. 2. In class, we guessed using approximations that the area under f(x) = x on the interval [0, 1] is approximately 0.25. Use the limit definition of area under a curve to prove that the exact area is 0.25. Hint: You need to use the formula: 1 +2+3 + +n = [n(n+1)] 2 2 3. Consider the f(x) = on the interval [0,2]. a) Compute the Riemann sum, L5. I.e., approximate the area under the cuve using five rectangles and left endpoints. b) Compute the Riemann sum, M5. I.e., approximate the area under the cuve using five rectangles and midpoints. c) Express the area under the curve f(z) on [0, 2] as a limit of rectangles using right end- points. You do not have to evaluate the limit!