Math 2B : Midterm # 1 Sample
This exam consists of 5 questions. Problems # 1-3 are worth 15 points each and problems # 4 and 5 are
worth 20 points each. There is a total of 85 available points. Read directions for each problem carefully.
Please show all work needed to arrive at your solutions. Label all graphs. Clearly indicate your final
1.) a.) Estimate the area under the graph of
using 3 approximating
rectangles and left endpoints.
b.) Estimate the area under the graph of
using 3 rectangles and
midpoint approximation method.
c.) Find an expression for the area under the graph of
as a limit
of a Riemann sum. (You do not need to evaluate.)