# sample4 - Math 1ZB3 1st Sample Test for Suggested...

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Math 1ZB3 1st Sample Test for Suggested Problems #4 Name :___________________________________________ (Last Name) (First Name) Student Number: Tutorial Number: _____________________ ____________________ This test consists of 8 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. Convert the polar equation to Cartesian coordinates. < œ #Ð"  Ñ cos ) " (a) (b) (c) (d) (e) BœC # B C œ# Cœ%B\$ Bœ ÐC %Ñ Bœ%C% ## # # " % 2. Find a set of polar coordinates for with negative . Ð#ß #Ñ < (a) (b) (c) (d) Ð# #ß Ñ Ð# Ñ Ð# #ß  Ñ Ð# #ß  Ñ  11 1 1 %% % % \$\$ (e) Ð# #ß  Ñ \$ # 1 3. For what values of is the curve concave upward? > Bœ> "#> ßCœ> " \$# (a) (b) (c) (d) (e) Ð%ß ∞Ñ Ð∞ß #Ñß Ð#ß ∞Ñ Ð%ß %Ñ Ð∞ß #Ñ Ð  #ß #Ñ 4. Find an integral that represents the area of the surface obtained by rotating the curve Bœ% > ßCœ ß"Ÿ>Ÿ% B >" > \$ # about the -axis.

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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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sample4 - Math 1ZB3 1st Sample Test for Suggested...

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