1272 Exam 3 KEY - MATH 1272, LEC 30 (Knoche): CALCULUS II...

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Unformatted text preview: MATH 1272, LEC 30 (Knoche): CALCULUS II SPRING 2011 MIDTERM EXAM 3 7/” a? Name \4 €’( - Signature Student ID Number Section m TA Score: Problem 1 (24) Problem 2 a, b (24) Problem 2 c (12) Problem 3 (25) Problem 4 (15) TOTAL (100) Instructions Show all of the details/steps of your set ups/solutions for full credit. You may usa- a scientific calculator with no graphing or symbolic manipulation capabilities. No books or notes allowed. Please turn off your cell phone during the exam. Good writing and GOOD LUCK! Math 1272-030 Spring 2011 Midterm Exam 3 2 of 6 1.) Determine whether the series below are convergent or divergent. If convergent, find its sum. Justify your answer and state the test used. 1 n 51-) 23:1 :1: (12 points) w -. \ r"? fix '\ n 1 ‘— 2 If; “I all n k;- \ If _____ Cr 33:33.? "— ‘ 5 J \ 27 M" m: s j i K 42 f \F 7- "“i z i \I‘: "2: E -— 00 271+ 31"l b.) ang— (12 points) Math 1272—030 Spring 2011 Midterm Exam 3 3 of 6 2.) Determine whether the series below converge or diverge. Show work and state test used. (12 points) 2 b") 200 L (12points) 4of6 Math 1272-030 Spring 2011 Midterm Exams (1) z:=1(—1)n-1£ at“. = 1:5 (12points) J. Le)! 4a,: 1' K: >H-8 © 1" Tim \ i”. "i: .‘ m: WW v 1.2.. :1 X Max) .... H < 0 {Y h: R 2 (vs-+83 ‘ 2) {163'} gr phi (iv-95¢»!er; an I"? alfalfa-2.4 {Tar W 7 g . x L ' I 0 O 93% W t j; tia‘mwrgg; _ “Q; n 0 HQ macaw“? may“: ’4 g.“ ** I ~— V1900 h Math 1272-030 Spring 2011 Midterm Exam 3 S of 6 3.) Find the radius of convergence, R, and the interval of convergence, I, of the series below. (25 points) ‘I-.. a..._F 11+! 3 n fl,LL : A». Chgi3L7Ln4-i (Xvfih “2,00 [m-“13'4'Rn' W h.-9°'3 " f 1 w ’ ., _ Mi. h —i a, 4mm.) x wagon/(.cmwl W1 Ira-*3 IX~T\ < Hi Q 1 ‘7‘ .flLlLé X—r< ‘7! I 4 X 4 q .90 r an if" I h m II L4” 2”" .r if”? ' :5" Hill 3-3:! hit E-+m~wr : “MIA P213 > 1 @ Crm‘n/Ef‘fif :1. an 00 m X __. ZIOTSUI -2 (Jan $214): hit “3‘?” Int-r “’5?” Fit H a) _‘_ 4 _L (314-03 E “3 I 07L ' e £305; =0 we 0% ““ Math 1272-030 Spring 2011 Midterm Exam 3 6 of 6 4.) Find a power series representation for the function below and determine the radius of convergence, R, and the interval of convergence, 1, of the power series. (15 points) 2x2 x = f( ) 3x2 + 6 d I IN 4' 2 m5“ Mil dir— ...
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This note was uploaded on 02/02/2012 for the course MAP 2303 taught by Professor Bramson during the Fall '11 term at University of Florida.

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1272 Exam 3 KEY - MATH 1272, LEC 30 (Knoche): CALCULUS II...

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