# Exam 2 - Math 2153 Calculus II Section 008 Alan Sola Spring...

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Unformatted text preview: Math 2153 Calculus II, Section 008, Alan Sola, Spring 2011 Midterm #2 Name. (last, ﬁrst -' 1 " CW I Please read the instructions carefully and answer all questions completely. You must show all the steps involved in the calculations in order to get full credits. (1) pts) Compute the ax'clel‘lgth 0f the curve given by :5; we mm Name , ~5.123643% = W SW6 secaecie M < Va 3J3??? 368(4) r /% 5 seem. H+on1®>0l9 49 ‘—— v p' (2) (25 pts) IS the sequence LN y\ 00 __ fégn DO {an}"=2 — {47? — 1 “=2 convergent? (Hint: You may ﬁnd L’Hospital’s rule helpful.) 0m; 'k \\\W\ {fan 1 “W3 \$34 3 "’ ‘ W (I‘Xi ‘ “900 ‘(\ ZW.‘ we, N 4%.. q (25 pts) Determine Whether the series 00 4n+1 Z 571. 1L=1 converges, and ﬁnd its sum if it does. 0:0 HOV/5“) = 3’ ‘W/s)“: V}:( m} - H V,“ Z .— gm: ,3... : W5 _ 1% i‘c l_“€/5 - l/S K93 . 7 Ed €55 cam/m3 535' V :2: H (%X%)"‘ ' (25 pts) Is the series convergent? b“: %3+} M W um i o. _ / co An «0 rq(e’\'. ‘bn CavaSE’S I 950584 bnﬂ b“ bW-H é bu ‘0 I 1/‘1 L yl mng2 bn-H Eb“ {Tar q\\ \A f €00ch 7% f; (:2 @73“ TL: sank} {5 COWV€f9€ﬂ+ Good luck! ...
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## This note was uploaded on 01/10/2012 for the course MATH 2153 taught by Professor Staff during the Spring '08 term at Oklahoma State.

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Exam 2 - Math 2153 Calculus II Section 008 Alan Sola Spring...

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