sample2 - Math 1ZB3 1st Sample Test#2 Name(Last Name(First...

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Math 1ZB3 1st Sample Test #2 Name :___________________________________________ (Last Name) (First Name) Student Number: Tutorial Number: _____________________ ____________________ This test consists of 10 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. Which of the below integrals is equal to ? B% B # ' .B (a) (b) (c)  "" " "' $# "' $# & $$ cos sin cos sin cos sin )) ) ) ) ) ) ... (d) (e) "' $# cos cos sin sin # '' .. (with an appropriately defined ) ) 2. Evaluate the following integral. tan sec &$ BB . B (a) (b) "#" '&$ (&% sec sec sec sec sec sec B B B B (c) (d) " " ' % (&$ ' % sec sec sec sec sec B †B B B B (e) %&$ sec sec sec B 3. 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 # 4. Evaluate the following improper integral. ∞ ! %B B/ .B & (a) (b) (c) (d) (e) Divergent "! %& 5. Using the comparison theorem, which of the following integrals is convergent?
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This note was uploaded on 12/12/2011 for the course MATH 1zc3 taught by Professor Mclean during the Spring '11 term at McMaster University.

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sample2 - Math 1ZB3 1st Sample Test#2 Name(Last Name(First...

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