MAT296-2007Spring

# MAT296-2007Spring - 2-AC\rt-R A I nstructor's name M AT 2...

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2-AC\--\rt-R.\ A May 13, 2007 Instructor's name: MAT 296 FINAL EXAM NAME: Student ID: Write your answers and show all your work on this test. There are 9 problems on 9 pages (including this cover sheet), for a total of 100 points. To receive full or partial credit, the correct work leading to the correct answer must be written down. Unsupported answers will receive little or no credit. Graphics calculators may be used. Symbolic calculators, such as TI-89 or TI-92, may not be used. Problem Score 1 ( 15 I 2 ( 12 3 ( 8) 8) 4 ( 5 I 12) 6 ( 10) 7 ( 10) 8 ( 10) 9 (15) Total 100) 1

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2 1.(15 points) Consider the region enclosed by the curves y = x - 2 and y = x + 4. (a) Sketch this region and find its area. (b) Set up an integral that gives the volume of the solid obtained by rotating this region about the line x = 3. Do not evaluate the integral. 2
2.(12 points) Evaluate the following: /x 2lnxdx (a) (b) .I sec 4 x dx 3

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J X2 3.(8 points) Evaluate J dx 1 - x 2 4
4.(8 points) Determine whether the integral .: xe-

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MAT296-2007Spring - 2-AC\rt-R A I nstructor's name M AT 2...

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