2B_final_samp1 - Last Name:_______________________ Math 2B...

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Unformatted text preview: Last Name:_______________________ Math 2B Final Exam Sample First Name:____________________________________ Last Name:____________________________________ Student ID #:__________________________________ Section:______________________________________ I certify that this exam was taken by the person named and done without any form of assistance including books, notes, calculators and other people. __________________________________________ Your signature (For instructor use only!) Problem Score Problem 1 8 2 9 3 10 4 11 5 12 6 7 TOTAL Score ID #:____________________________ This exam consists of 12 questions. # 1-5 are worth 10 pts each and # 6-12 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 x-axis 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 half-life 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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