sample test2 - Math 1ZZ5 1st Sample Test #2 Name:_ (Last...

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Math 1ZZ5 1st Sample Test #2 Name :___________________________________________ (Last Name) (First Name) Student Number: Tutorial Number: _____________________ ____________________ This test consists of 13 multiple choice questions worth 1 mark each (no part marks), and 1 question worth 1 mark (no part marks) on proper computer card filling. All questions must be answered on the COMPUTER CARD with an HB PENCIL. Marks will not be deducted for wrong answers (i.e., there is no penalty for guessing). You are responsible for ensuring that your copy of the test is complete. Bring any discrepancy to the attention of the invigilator. Calculators are NOT allowed. 1. Write out the form of the partial fraction decomposition of the following function B&B%B$B# B ÐB"ÑÐB *Ñ %$# $# # . (a) EF G B H B B" ÐB *Ñ #  (b) E F GBH IBJ B B" B* ÐB* Ñ # # (c) EFG H I J B B B Ñ  #$ # # # (d) E F G H IBJ KBL B B B Ñ # # # (e) EF G B B" ÐB *Ñ # 2. Evaluate the following improper integral. ∞ ! %B B/ .B & (a) (b) (c) (d) (e) Divergent "! "" %& 3. Using the comparison theorem, which of the following integrals is convergent? (i) " BB "B sin # $ ( .B (ii) " B/ #B (iii) # B # ' (a) (b) (c) (d) (e) (i) only (ii) only (i) and (ii) only (i) and (iii) only (ii) and (iii) only 4. Evaluate the following integral. B* B $B"! # (a) (b) ln ln ln ln lB&l# lB#l # lB&l lB#l (c) (d) ln ln ln ln lB&l# lB#l  lB&l# lB#l (e) # lB&l lB#l ln ln 5. Perform the following division: B#B& BB' $ # (a) (b) (c) B" &B"" B B' &B"" B" B" B B' B B' &B"" # ## (d) (e) B  "  $B  "  $B" B" B B' B B'
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6. Find the values of for which the series is convergent. : 8œ# :" Ð8 Ñ 8 ln (a) (b) (c) (d) (e) : " :! :Ÿ! :" :Ÿ" 7. If we use the partial sum to approximate the sum of the series = "!
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This note was uploaded on 04/04/2011 for the course MATH 1zz5 taught by Professor Child during the Spring '10 term at McMaster University.

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sample test2 - Math 1ZZ5 1st Sample Test #2 Name:_ (Last...

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