Math 2b Midterm # 1 Sample Exam Worksheet - University Of California, Irvine (Uc Irvine)

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

answers.

1.) a.) Estimate the area under the graph of

from

using 3 approximating

rectangles and left endpoints.

b.) Estimate the area under the graph of

from

using 3 rectangles and

midpoint approximation method.

c.) Find an expression for the area under the graph of

from

as a limit

of a Riemann sum. (You do not need to evaluate.)

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