Consider the function

4. Consider the function f(r) = er from 0

4. Consider thc fimction f(:r) cr from O < x < 2 (a) Graph thc function. (b) Estimate thc arca under thc graph of f using four approximating rectangles and taking the sample points to be left endpoints, right endpoints, and midpoints. In each case, sketch thc curve and thc rectangl(S. Determine if cach cstimatc is an overestimate or underestimate. Which is thc best estimate? (c) Improve your estimat& in part (b) by msing cight rcctanglcs.