242test2key050 - y — ln(secx between x = 0 and x —?r/3...

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Math 242 Section 050: Test #2 NAME: 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. 1 —•— 2. [5 points] Question 1. Determine whether the improper integral dx converges or diverges. If it converges, find its value. i U + S - 2-x 10 M
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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 V9999. 0 Also ckoose y - 100 - (00 - - /oo 200 - loo — /oooo- or
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[5 points] Question 3. Find the length of the curve y ln(secx) between x = 0 and x — ?r/3. 1T/3
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Unformatted text preview: y — ln(secx) between x = 0 and x — ?r/3. 1T/3 Secy o 9C "X sec *-I-O a-+-I--L [5 points] Question 4. Determine whether the series n—1 converges, and if it converges, find its sum. oo 4-00 OO r-< 1 — 3-f 3 [6 points] Question 5. Determine whether the series converges or diverges. (Provide a reason.) is o p s,fwe 5 f oO P> vj M 1 2, y(A \x *h d^ U , U S/M X _ A W 'A-'A-*c ^2, i 1 [6 points] Question 6. Determine whether the series ^ 1 y ^ n sin — n=l n converges or diverges. (Provide a reason.) Ifl 2 " ,-2. is t f I \/T( C ; /\. ^n w\m \x->(? • M n...
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