242test1key011 - M ath 242 Section O il Test#1 NAME fr Please circle your lab/discussion 030 031 032 This test has 6 questions on 6 pages The

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Unformatted text preview: M ath 242 Section O il: Test #1 NAME: _ fr Please circle your lab/discussion: 030 031 032 This test has 6 questions on 6 pages. The points per page are 5, 5, 5, 5, G, 6. Show your work. A correct answer with little or no reasoning may receive a low score. ( However, t here is no need to be wordy.) The 7th page has some formulas you can refer to if needed. /*) [5 p oints] Question 1. E valuate lim x—'O Sin X . X2 X~\x 0 2- • [5 points] Question 2. Let R be t he region bounded by y = 1/x, y = 1/x2, and x = 2. Find t he area of the region R. -X = (fact on 1 is TOP * BOTTOM -X--1 L 'X 2. 1. [5 points] Question 3. Let /? be the r egion b ounded by the c urves y — x~ - 5,r + (i and // = 0. F ind the volume o btained w hen R is r otated a round t h e ( /-axis. ' =O -0 S ^ 0 S.SHELLS r= r\. 2JT L I C, BOTTOM / •27T [5 points] Question 4. E valuate / e~x c osx dx. Jo ~*CoS * dx O u' II - O u d\i - cos V ' Si/\ ^77- /SM /a^* <?-*-.«. Mi/re SIMILAR. 0 j T ^- X i-..—-/' __ r —'x ~ I J? • <-' ^ "^^ ^ 0 -j o /*»* I "T~" / v - —cos x [6 points] Question 5. Evaluate / ln(3a;) dx. r^* fi&rfa &o/ 3 _ r?3x I 7 3 I 3-1 - 3-2. -2. 3 -2. U ~ Jh\u = JL. r [6 points] Question 6. Evaluate / sec'* x dx. S££ X -h 21 = X X -/- X X -/- x -f c ...
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This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

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242test1key011 - M ath 242 Section O il Test#1 NAME fr Please circle your lab/discussion 030 031 032 This test has 6 questions on 6 pages The

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