242test2key012 - = loo = loo. 01 [5 points] Question 3....

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Math 242 Section 012: Test #2 NAME: Please circle your lab/discussion: 040 (8:00) 041 (12:30) 042 (1:30) There are 6 questions on 6 pages. Points per page: 5, 5, 5, 5, 6, 6. Show your work. A correct answer with little or no reasoning may receive a low score. (However, there is no need to be wordy.) The 7th page has some formulas you can refer to if needed. [5 points] Question 1. Determine whether the improper integral r°° x dx Jo (* 2 + 3)s converges or diverges. If it converges, find its value. 2 ^V 2 o v ~ * 3 / J. z 1+3 - ii- *- /~\ U 2 -,* - - --- -
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[5 points] Question 2. Using an intelligent first approximation, use one iteration of Newton's method to get a very good approximation to \A0002. t0001. 10002. /0002 ~ 0 Cf/OOSE -f /) /So Choose - 100 - - 100 100-10002. 200 100 I OOQO 10002. - loo - ^ 2-00
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Unformatted text preview: = loo = loo. 01 [5 points] Question 3. Find the length of the curve y = ln(cosa;) between x 0 and x ?r/3. ^ I o / 4--fe^-x) *"7 IT/3 fl/3 Jh sec i [5 points] Question 4. Determine whether the series 1 4- 9 n l + / n=l converges, and if it converges, find its sum. 00 , ' 2 r\ CO n-J-r-/ - y [6 points] Question 5. Determine whether the series converges or diverges, (Provide a reason.) \ ^ ) /s M 2. 3 i / TO X-L U z.-^-N 1 /s [6 points] Question 6. Determine whether the series oo E l . 1 sin n n nl converges or diverges. (Provide a reason.) n dsqz ^> ^^ ^3* ^7 J /I Y\] / fiA-\-1....
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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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242test2key012 - = loo = loo. 01 [5 points] Question 3....

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