166E2-S02 - MA 166 EXAM 2 Spring 2002 Page 1/4 D NAME...

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Unformatted text preview: MA 166 EXAM 2 Spring 2002 Page 1/4 D NAME STUDENT ID RECITATION INSTRUCTOR RECITATION TIME DIRECTIONS 1. Write your name, student ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, and 4. . The test has four (4) pages, including this one. V Write your answers in the boxes provided. You must show sufficient work to justify all answers. Correct answers with inconsistent work may not be given credit. Credit for each problem is given in parentheses in the left hand margin. 6. No books, notes or calculators may be used on this test. euro 9“ Evaluate the integrals in problems 1—5. ’ (8) l. fc0t3xsin2mdm “E (8) 2. / sec4zzztanwdm o W MA 166 Exam 2 Spring 2002 Name m Page 2/4 dz p (10) 3. f 3 (6) 4. fomx/Q—xzdx 1 2m+3 . d (10) 5 /o ($+1)2 a: (6) 6. Write out the form of the partial fraction decomposition of the function below. Do 991 determine the numerical values of the coefficients. 1 MA 166 Exam 2 Spring 2002 Name m Page 3/4 (12) 7. Determine Whether each integral is convergent or divergent. Find its value if it is ’ convergent.) Important: Show clearly how limits are involved. (a) [100 Elana $ (8) 8. Find the length of the curve y = f(:I:), E S x S %, given that f’($) = Vtan2 x — 1. (8i 9. Set up an integral for the area S of the surface obtained by rotating the curve y = cos x, 0 S :L‘ S g- about the y-axis. Do not evaluate the integral. MA 166 Exam 2 Spring 2002 Name ______._._________._ Page 4/4 . (12) 10. Consider the lamina bounded by the curves 3; = 1 — x2 and y = 0, and with density p = 1. Find the following: (a) The mass m of the lamina m = (b) The moment My of the lamina about the y—axis My = (c) The moment Map of the lamina about the w—axis Mm = (d) The centroid (5:, g) of the lamina 5:, 23) = (12) 11. Determine whether the sequence converges or diverges. If it converges, find the limit. (You need not show work for this problem). i 2n (a) a" : 3n+1, (b) an = (—71)“ (c) an = Z; (e) a ._._""2+3 n n “C0577, (f) anzn2+3 MM ...
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This note was uploaded on 04/07/2008 for the course MA 166 taught by Professor Na during the Spring '00 term at Purdue University-West Lafayette.

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166E2-S02 - MA 166 EXAM 2 Spring 2002 Page 1/4 D NAME...

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