242test2key014 - loooo-iooo I loo + [5 points] Question 3....

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Math 242 Section 014: Test #2 NAME: <^ ^ V Please circle your lab/discussion: 060 (12:00) 061 (11:00) 062 (2:30) 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 50 x , 2 , 2 -i2 dX converges or diverges. If it converges, find its value. vj 0 I Z <u r^M~+2. 1 x ^u U 2. i . L -> a<, M-* oo 4
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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 \/10001. J/OOOI % 1 000 1 - /ooo) ~ O /(/so ckoosz oc 2. loo—ioooi Zoo - I OQ
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Unformatted text preview: loooo-iooo I loo + [5 points] Question 3. Find the length of the curve y = In(cosz) between x = 0 and x = Tr/4. TT/4 17-X + i [5 points] Question 4. Determine whether the series-u-r n 1 converges, and if it converges, find its sum. OO A-I 00 3 &quot; 3-f 2 2. i 3 s r -- &lt; I-'/: 2. I &quot;~ 2 First 3. 2. __ r&gt; [6 points] Question 5. Determine whether the series converges or diverges. (Provide a reason.) is ;s u r\ L Z 2. U 2. ,/z 00 /5 / (X-'/=-1/2. ^ 2. 2 1 2)-A [6 points] Question 6. Determine whether the series nl sin n converges or diverges. (Provide a reason.) K9...
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242test2key014 - loooo-iooo I loo + [5 points] Question 3....

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