162E2-F2007

# 162E2-F2007 - MA 162 Exam 2 Fall 2007 Name: 10—digit...

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Unformatted text preview: MA 162 Exam 2 Fall 2007 Name: 10—digit PUID: Lecturer: Recitation Instructor: Recitation Time: Instructions: 1. This package contains 13 problems worth 7.5 points each. 2. Please supply ﬂ information requested. On the scantron sheet, print your name, your division—section number and 10 digit PUID number in addition to ﬁlling in the corresponding circles. You get 2.5 points for supplying all information correctly. 3. Work only in the space provided, or on the backside of the pages. Circle your choice for each problem in this booklet, and mark your answer on the scantron sheet. 4. No books, notes, calculator or any electronic devices, please. A short table of trigonometric formulae you may or may not want to use: 2 cosacosﬂ = cos(a — B) + c0s(a + ,3) 2sinasinﬂ = c0s(a —— ﬂ) — cos(a + 3) 25inacos,6 = sin(a -— ﬂ) + sin(a + 3) AC 2.? as 4/4 55 as 7.: 8E an: [0.0 {LA 12.? 15. s MA 162 1r/2 1. /sin3 mdasz A. 7r B. 1/3 C. 2/3 D. 7r/2 E. 3/4 7r/4 2. / sec4atdzc= 0 A.7r B. 1/3- c. 2/3 D. 7r/2 E. 4/3 Exam 2 Fall 2007 MA 162 Exam 2 Fall 2007 A. 7r B (x/g—x/iVZ C 7r/7 D (3f—\/§)/2 E 1/2 4. The substitution best suited for computing the integral / A. m=2+\/gsin6 B. \$=3sin61 C. \$=3+sin6 D. m:2+\/5sec6 E. x=5+\/§tan0 d1: . ——IS x/1+4:c—a:2 MA 162 Exam 2 Fall 2007 5. f5 —d“"— = 4 x2—5\$+6 A. ln2 B. 21n2—ln3 C. ln5—ln4 D. ln6—ln7 E. 2ln5 6. The partial fraction decomposition of mm is of the following form A B A' 11:2—1 +x2+4cc+9 B A + Bx + C ' 332 — 1 \$82 + 43: + 9 c A + B 4g; ':c+1 x—_1.\$2+4x+9 A 41% -. C 7D D. + x + \$+1 x—1+\$2+4x+9 E. Since 3:2 + 49: + 9 is irreducible, the function cannot be decomposed into partial fractions. MA 162 Exam 2 Fall 2007 7 foo dx _ ‘ 1/2 —_ A. ~2 B. 2 C. 1/4 D. 4 E. The integral is divergent. 8. Which is true? 2 dt I. f — is convergent if p < 1; 0 tp 2 dt II. / —~ is divergent if p _>_ 1; 0 tp 00 III. / 2_tdt is convergent. 1 . A. Only I . Only II Only I and III Only II and III All three meow MA 162 Exam 2 Fall 2007 9. Suppose the derivative of a function g is g’ = s/sec4 x — 1. Find the length of the curve y = g(a:), 0 S x S 7r/4. A.1 B.2 C. D. E. eat 10. The region bounded by the :1: axis, the curves y : \$3 and x = 2 has area 4_ If its centroid is at (E, y), then g = A. 2 B. 9/4 C. 16/7 D. 8/3 E. 4 MA 162 Exam 2 , n 11‘ 3:120 CW - A. 0 B. 1 C. 1/6 D. 1/\/E E. The limit does not exist. Fall 2007 MA 162 _ Exam 2 00 2 13. Which is a valid reasoning? The series 2 n :1 n + 3 I. convergent by the integral test; II. divergent by the integral test; III. convergent because the nth term goes to 0. . Only I . Only II Only III Only I and III Neither is valid. wuow> is Fall 2007 ...
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## This note was uploaded on 10/29/2010 for the course MA 161 taught by Professor Gabriel during the Fall '08 term at Purdue.

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162E2-F2007 - MA 162 Exam 2 Fall 2007 Name: 10—digit...

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