Sol-162E2-F09

# Sol-162E2-F09 - MA 162 EXAM 2 Test 01 Fall 2009 1 Which of...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MA 162 EXAM 2 Test 01 Fall 2009 1. Which of the following integrals arises when one makes a suitable trigonometric substitution to compute mdm M: Z/Jkéﬁpc 6) O /4sin2 0d9 =ZW6’96459 sin 20 (“if m” 2W6 13- ﬂow do i;- [7"WLZQ Z Cﬂ‘éé) £6 C. / tan26se00d0 Zc’aaé 2 D. /:::ng6 j ell/£141; 6) £9 / sin2 (9 E. d0 400826 4 d3? 2. Compute /2 152—4. />¢:: Z.4¢&6 , A- 1nW§+2> 4&0 r; ZméQ fail/£49655 B. éln(2\/§+3) \/ Abzvé’": ZZ/LJu/Lé’ 1 C. \/§+§ln(\/§+1) :5 W 6467 @ 1n<2+¢§) \ljf 2— L}- Zia/2469 E. 2ln(2\/§+3) “:2: {\$664469 :A/LLIW€6+Z/Z£4bQ/+C 4a W Z Z— ' fwd—55+ :4)+C 6L .2 'W—‘WW = m/AMEU ~AW<Z+ W?) MA 162 EXAM 2 Test 01 Fall 2009 22: + 5 3. Evaluate / m dill. A. 3ln|m2+2m+2|+tan‘1(m2+2:c+2)+C W HZ/WLZ £30 + 4&5 ‘ "7 MELZM #2, 05142407132. Inlar:2 +2m+2| +3tan_1(:c+ 1) +0 C. lnlm2+2x+2|+ ,V (Z 0PM) +/ D. ——-— C w2+2m+2+ 2\$+2+3tan"1(:13+1) +0 .w/ _1 Z E. 2111|2cc+2|+3tan (:1:+1)+C '7; MZM+w+ 22+ 3 “ﬁzz/M» (AN/NC 4. What is the form of the partial fraction decomposition of {3+2 (:3 — 1)2(x + 1)(a:2 +4)” A A + B +C\$+D ' (ac—1P x+1 (502+4)2 A B C D E B. ___ w—1+(a:—1)2+\$+1+x2+4+(x2+4)2 A B C’J:+D C. m—l+ac+l+ x2+4 D D. A +Bac+C m+E F\$+G 33—1 5132—1 + x2+4 +(zv2+4)2 " A B C Dx—i—E Fw+G x—l+(x—1)2+x+1+ m2+4 +(:I:2+4)2 2 MA 162 EXAM 2 Test 01 Fall 2009 1 4 5. Evaluate /0 mdm' E A- 1n2+1n4—1n3 mi 2 ﬂ + ‘ B 112 14 313 (AL+/)[/w+3) AMI Aw} . 5 n _ n +5 n ‘ 1 17” : ﬂZ/WZ} '4' 5 [04+]) 0. §(ln2—ln4+3ln3) 5 0 2; Z R 2(ln2+21114—1113) 1L :5 :z :2 .5, ‘ ﬂ " ﬂ Z) 2(ln2—1n4+1n3) %/4 +5 - if f / :Wi—M :5 (442.: 6&0 Aba+4f401~3 a ~/§¢+’3 :: Z L/bLZ/VJ‘H/ _. Z L/VLZ/S:‘7”3/:] 31’ Z (Ln/LZ Vim/17L 7444;?) MA 162 EXAM 2 Test 01 Fall 2009 1 d3: 6. Evaluate 0 ﬁ+ 1. Z {421/770 44*: a, A. 1+1n2 £31): 2305540 B. 2—4ln2 ”A :‘ I Z 4,4621», :: .5 4' A C. —21—+21n2 I Milk] Z0“ ﬂH-l 2—21n2 a, :2 / "h” / E. 2+}ln2 4+7 ﬂi‘H 2 ~::: Z / W KL, 5554; t: Z (a e. M( féaL/O +6 56%] / :2 (w; 4741/; H» + c, 57%... mmmﬂ ‘9 .2: 2.725%; a 7. Find the length of the curve f (m) = 1n(sec m), 0 S x 3 7r/ 3. £5934) : / [ﬂaw my» 2: @7444 A. ln(1+\/§) .m&% B. \/§+\/§ 7&9: WX4L A: W éép G. 1n(¢§+¢§) 7 D. 1+\/§ : ﬂﬂ’f/yl @ ln(2+\/§) 0/3 F 4 E‘ [M40 ﬁzz/1‘" : 4/24 //¢4€:/>O +i7u/qo/j /5 a /0 :- L/A ( Z + V?) MA 162 EXAM 2 Test 01 Fall 2009 8. A surface is generated by rotating the curve 31 = 2\/1 + :13, 0 S on S 2, about the x—axis. Find the surface area of the surface. 2 A £2: - I A. §3 2—f S : 3 2,17% 4% Ab W735 3( 2) 0 B. %75(\/§—\/§) Z 3 S 2, nz7TZWl/Eﬁ 4% D. Z(«E—1) Vii—AA & Z1 , a: z E 3“”) :: LHT Elk—+3140 -*= ﬂﬂzm) J , 3/ d5 3 c3 2: 5%?(9—2 Z) 9. A lamina of uniform density has the shape of the region bounded by yzw, and y2m4. 3 The area of the region is 1-6 Which expression gives the y—coordinate g of the center of mass. ’,. Z “2,. A _ 10 1(2 5)d . = — a: — M: (M)‘(/>j)é@a y 30 06:” A0 Z. 5 1 B. y: 3/0 (x—m4)2dm “\$326350in Wm 1 C. y: —0—7T/01(x2—:B5)da: E]: 5/2 2 /0 J-[QV engaéjc . y: :1)le ‘538 1071' 2 2%; (Ma/”926% E' “T o‘Hs)“ r a I 5'! ML &&0 :2 f 67th ‘njtééﬁ? . II and III converge. Idiverges. 1 “9/ M q__/ M B. I and II converge. III diverges. <3 I _._/_, (947/10 :2: L/// AM [C] : mag}, C. II converges. I and III diverge. ”0 (Cw-5G "" D. I, II and III converge. M I ” ”Lag/X) . 2 U/7 j/ , / E. I, II and III diverge. / ,2“ [’0 77px) 7 )2 ' I I . Manama/z 7L +J— 3.... 127‘ Mrczm g 12 my /7'" Z I???” 157 /7“ 77 Ag} Ad 6 0” Z I; V TH/z: Céﬂﬂﬂ/V/ﬁcﬂ/V 72:; 77 firiéoé@o (ML/R6153, 'Z 3:5ZW—MW6Z76 0 (3 MA 162 EXAM 2 Test 01 Fall 2009 10. The curve y = 6‘”, 0 S a: g 2, is rotated about the y—axis. Which integral gives the surface area of the surface of revolution. 2/? A. /227rem 1+€2md\$ 3—» ~Mr£<b 0 ‘ ’ 2 CD @/ 27mv1+62\$dw 0 5&4»: /7’“L%%>Z%¢: MFA 0' Ammo” 2 D. 7rme2m V 1 + 62:13 d3: 2 E. / 71‘62m dm 0 11. Which statement is true about the following improper integrals. 1 oo oo - 2 I. / ldw II. / ids; III. / sm2\$dm _1£IZ' 1 6w 77' ”4’2“ ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern