{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

math 160 spring 2009 exam 2002

# math 160 spring 2009 exam 2002 - Points(48...

This preview shows pages 1–3. Sign up to view the full content.

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: Points: (48 possible) (computed outof45) Name: ’20 llﬁt Q [1 5 Math 160 Spring 2009 Instructor: Jared Hersh Exam #2 Percent: _..——- Instructions: No outside notes allowed. You may use any type of calculator You may not use your cell-phone in lieu of a calculator and you may not share a calculator with a neighbor. Show all worldreasoning for every problem. Correct answers without supporting work will be treated with suspicion or as “lucky guesses" and will be scored accordingly. Any instances of cheating are taken very seriously by me and by SBCC; don‘t do it! Good luck® l. (5 points) Consider the curve y=2ln[sin-§], g'SxSn' b ‘1 J I, I l _ a) Set upanlntegral that would givethe length of this curve. 2 5 I (75) JJL a3l/j} b2?! 0‘ x -l . g; 23:..9; .(‘35(1_) 1, .- Jl Smelt.) P gilt!) 77 Ti .. * SW) J1 -: S (scl(—§)JJL -' )(5((33)y& -- L , 7- -11/.. ﬁ/ I]; - 5 3 b) Evaluate this integral toﬁnd the (exact) length of the curve. _ l T!“ "5?- W \$1.13,. ,, 11~ M )csd’a‘wx : 28csc(u)c/u \ " ,7 TV X‘h/j r-au’ﬁ/GJ }:?7 HM? L. 1) ”/6 2. (6 points, 2 each) a) Set up, but do not evaluate, an integral for the surface area obtained by rotating hecurvey=e’, 0<x\$2,aboutthex-axis. ’J. 7—1. S = 2W3 1+5!“ «Jan =7- Szrre’ﬁ/V 6 “- Gr 0—“; O _ ‘ a- 1 - 3;:e‘ 1. 1.3L b) Set up, but do not evaluate, an integral for the surface area obtained by rotating the curve y = e", 0 S x S 2 , about they-axis. S 2 thTTDL\/I+ fix J1 CL.- 41"!"— 0) Set up an integral that gives the same surface area as b), variable. (That is, if your integral from b) had a dx then with a dy, or vice-versa.) - 7. _. l- L 3261, oéié’l (‘3 1—2603; [ﬂy—6 except with respect to the other you should now write down an integral ‘ “'3‘ - via 3- (5130ix1Is)EvaluateI 0? 2 Bi 1' 9’1 — SEC 6- mix +9 1‘11 3- r L31: 3f€£ 9 '_‘_ 8353(1'8 L16 ___._____‘___/. . 3+€M9r3j€L0 * i' 25:9 019 7351(009 ': i J9 %chc E; l V317; .. __ L C I ”i/UMSQ (0+9 9 --L -2 4 C ’37 3}“ W 7.. 4. (5 points) Talmte Ixﬁx (or show that it is divergent.) Use proper notation. _.. ' (ilk LC“ U't/an -j{m g JM‘ 0'1 {44:0 - 11‘” ' "f: l 3: ’1 r—a m: In 2, 11(- -’ UL: Inf In‘c - Jam {‘3 £440 “" ﬂn'L M ) = m MM : Xw (/gn.;n(g}.—-/n (m) -{ 440 ﬂnl {mo ”7/ GO . + ln-kgml if M 3 ...
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