162E2-F2010

162E2-F2010 - MA 162 EXAM 2 Form A Fall 2010 NAME STUDENT...

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Unformatted text preview: MA 162 EXAM 2 Form A Fall 2010 NAME STUDENT ID RECITATION INSTRUCTOR RECITATION TIME 1. Fill in your name, your student ID, your recitation instructors name, and your recita— tion time above. 2. Be sure that the color of your answer sheet matches the color of your exam. 3. On the answer sheet, write your name, your division and section number, and your student identification number, and fill in the corresponding circles. Leave the test/ quiz number blank. Also, fill in the (recitation) instructor name, the course (MA 162), and date (10/19/10). 3. There are 12 questions. The first 8 are worth 8 points each and the last 4 are worth 9 points each. For each question, mark the letter corresponding to your answer on the answer sheet. 4. At the end of the exam turn in both the question sheets and the answer sheet. 5. No books, notes, or calculators may be used. MA 162 EXAM 2 7r / 2 1. Evaluate / 0063 a: sin2 a: dw. 0 7r/4 2. Evaluate / tan m sec4 a: clan. 0 Form A Fa112010 A. 1.2% B. 55 C. :75; D. g A. g B- 3 c. 3 D ; 424:1 MA 162 EXAM 2 Form A Fall 2010 3. When one makes a suitable trigonometric substitution to evaluate which integral arises? 1/\/§ 4. Evaluate / 0 2 V1 —:c2 d, mm (133. A. 27/sec46d0 1 __ 4 27/860 6tan6dl9 3 o. 9/sec 6d0 tan 0 D. 27/sin39d6 -3 E. 9/8m0d6 cos 6 7r 1 A i‘g B £__‘/:3_’ 2 2 7r \/§ 0_ ____ 8 2 1 D. —_ 4 E wlfi Oo|=1 + E MA 162 EXAM 2 Form A Fall 2010 5 C 13/0 d“; . ompue _2 $2+4m+8. A l . 16 B Z 8 7r C 1+5 7r D. — 4 7r E. — 2 6. Find the correct form of the partial fraction decomposition of 12—5 (at — 1)2(w2 — 9)(a:2 + 9). A B C' D EZZZ+F A. m—1+(w—1)2+$—3+m+3+m2+9 B. A + B C D$+E (w—l)2 :c—3 56—1—3 w2+9 C A + B C Dw—l—E 53—1 (w——1)2 932—9 m2+9 A Bm+C Dm+E D. (ac—1)2+ 132—9 + w2+9 A B C’ E. + + (ac—D2 332—9 m2+9 MA 162 2 7. Evaluate / 0 2 I 8. Given that / 1 /2 3m+5 1 w2—233+2 EXAM 2 1 (:3 + 1)(:1: + 2) dm‘ 1 932—2w+2 dis. d3): 7r 4 ’ evaluate Form A Fall 2010 ln2—ln4 ln2+ln4+ln3 ln3 1114 7+ 7 +1112 ln3 — ln4 ln3—ln4+ln2 7r A. 12 - n +4 77 B. 2 —— ln2 2 3 C. —ln2+27r 2 1 7r D. — — 21112-}-2 3 7r E. — 2 — 41n —|-6 MA 162 EXAM 2 Form A Fall 2010 9. Which of the following improper integrals converge. oo 2 1 oo (1) / ‘ Wm, (2) / law, (3) / e-mCOSZmdm. 1 l m5 + 1 _1 .733 A. (1) and (2) converge. (3) diverges. B. (1) and (3) converge. (2) diverges. C. (2) and (3) converge. (1) diverges. D. (1) converges. (2) and (3) diverge. E. (1), (2) and (3) converge. 10. Find the arclengh of the curve 2 3/2 y=§(m+1) , —1g:c32. A. 3 3 B, Z 6 8 C. 3- D. 1% 3 E. @ 3 MA 162 EXAM 2 Form A Fall 2010 11. Which integral gives the surface area of the surface obtained by rotating the curve y=1+2zr2, OSx<1, about the y—axis. 1 A. 277/ (1+2m2)\/1+16x2dx 0 1 B. 27r/cm/1—i—16x2da: 0 1 C. 27r/ a:(1+2m2)d:c 0 1 D. 27r/ $(1+16m2)dm 0 1 E. 27r/ (1 + 23:2)(1 + 16m2)d33 0 12. The substitution u = x/l + x transforms the integral /8 [—1 —— d3: 3 :1: 1 + cc into which integral? 8 1 A 3 (U2 — 1)u du 3 1 B 2 (U2 — 1)u d“ 3 2M C. 2 U2 * 1 du ...
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162E2-F2010 - MA 162 EXAM 2 Form A Fall 2010 NAME STUDENT...

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