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1zz5test108 - Math 1ZZ5 Test#1(Version 1 Thursday Name(Last...

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Math 1ZZ5 Test #1 (Version 1) Thursday January 29, 2009 Name :___________________________________________ (Last Name) (First Name) Student Number: _____________________ This test consists of 19 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. By making an appropriate substitution, which of the following integrals is equal to sin cos &% BB . B ? (a) (b) (c)  Ð"?Ñ ?.B  Ð"?Ñ ?.B  Ð"?Ñ ? .? # &Î# % # &Î# % # # % (d) (e)  ?Ð"?Ñ .?  ?Ð"?Ñ .? &# # # 2. Estimate the area under , using 3 approximating rectangles and B "ŸBŸ( ln midpoints. (a) (b) (c) #Þ&  %Þ&  'Þ&Ñ $  &  #  %  ln ln ln ln ln ln ln ln ln (d) (e) ln ln ln ln ln ln #Þ&  %Þ&  'Þ& #  %  ' 3. Evaluate the following integral " / ln B.B . (a) (b) (c) (d) (e) #"$%/ 4. Using the definition of integral, which of the below limits is equal to the following integral?
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1zz5test108 - Math 1ZZ5 Test#1(Version 1 Thursday Name(Last...

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