Unformatted text preview: Last Name:_______________________ Math 2B Final Exam
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Problem Score Problem 1 8 2 9 3 10 4 11 5 12 6
7 TOTAL Score ID #:____________________________ This exam consists of 12 questions. # 15 are worth 10 pts each and # 612 are worth 7 pts each.
Read the directions for each problem carefully and answer all parts.
Please show all work needed to arrive at your solutions.
Clearly indicate your final answer to each problem. 1.) a.) Suppose that
,
, and
Use this information to compute the following:
i.) ii.) iii.) b.) Evaluate the following limits . 2.) Find the area in the first quadrant that is bounded above by
and the line
. and below by the xaxis ID #:____________________________
3.) The region bounded by the curve
and the line
line
to generate a solid. Find the volume of that solid. is revolved about the 4) a.) Find the average value of the function on the interval . b.) If 20% of a radioactive substance disappears in one year, find its halflife if you assume
exponential decay. ID #:____________________________
5) Determine whether each of the following improper integrals are convergent or divergent.
Evaluate the integral if it is convergent. Evaluate each of the following integrals ID #:____________________________ ID #:____________________________
11) Evaluate the following derivative 12) Evaluate the integral ...
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 Winter '05
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 Math, Calculus, Derivative, Radioactive Decay, Riemann integral

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