1zz5test308 - Math 1ZZ5 Test #3 (Version 1) March 5, 2009...

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(CONTINUED) Math 1ZZ5 Test #3 (Version 1) March 5, 2009 Name :___________________________________________ (Last Name) (First Name) Student Number: _____________________ This test consists of 30 multiple choice questions worth 1 mark each (no part marks), and 1 question worth 1 mark on proper computer card filling. 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. 1. What curve is represented by the following parametric equations? Bœ" > ß Cœ> ln (a) (b) (c) (d) (e) Cœ/ Cœ"/ Cœ"/ B" # "B B B" B" ln 2. Let be the solution to the initial value problem CÐBÑ C œ /  Cß CÐ!Ñ œ # wB . Find . CÐ"Ñ (a) (b) (c) (d) (e) /# /% /$ /& / 3. For what values of is the following parametric curve concave up? > > ß Cœ> > ln # ? (a) (b) (c) (d) (e) Ð#ß %Ñ Ð!ß #Ñ Ð ß ∞Ñ Ð"ß ∞Ñ Ð"ß %Ñ " % 4. Let be the solution to the initial value problem CÐBÑ CœBC ß C Ð ! Ñœ# w# . Find . CÐ"Ñ (a) (b) (c) (d) (e) $ //# / #Î$ #Î$ "Î$ "Î# $Î#
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(CONTINUED) 5. Sketch the curve represented by the parametric equations . Bœ0Ð>Ñ ßCœ1Ð>Ñ t 1.0 0.5 0 0.5 1.0 0.2 0.4 0.6 0.8 1.0 x = t t 1.0 0.5 0.0 0.5 1.0 1.0 1.5 2.0 2.5 = t x 1 2 3 4 5 0.5 1.0 1.5 2.0 2.5 x 0.0 0.2 0.4 0.6 0.8 1.0 0.5 1.0 1.5 2.0 2.5 x 1 2 3 4 5 0.8 0.6 0.4 0.2 0.0 0.2 0.4 0.6 0.8 (a) (b) (c) x 0.2 0.4 0.6 0.8 1.0 1.0 0.5 0 0.5 1.0 x 0 0.2 0.4 0.6 0.8 1.0 0 0.2 0.4 0.6 0.8 1.0 (d) (e) 6. Find the length of the parametric curve, B œ "ß C œ > ß " Ÿ > Ÿ # " # # . (a) (b) (c) (d) (e) "# $ &$ ##
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(CONTINUED) 7. Which of the below graphs is a sketch of the function ?
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This note was uploaded on 02/22/2011 for the course CS 1112 taught by Professor Dr.d during the Fall '11 term at McMaster University.

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1zz5test308 - Math 1ZZ5 Test #3 (Version 1) March 5, 2009...

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