calculus-problems - Single-variable Calculus Problems(and...

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Precalculus: Mathematics for Calculus
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Chapter 3 / Exercise 61
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Single-variable Calculus Problems (and some solutions, too!) Draft of 2011.08.07. Stefan Bilaniuk Department of Mathematics Trent University Peterborough, Ontario Canada K9J 7B8 [email protected] euclid.trentu.ca/math/sb/ 2011
We have textbook solutions for you!
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Precalculus: Mathematics for Calculus
The document you are viewing contains questions related to this textbook.
Chapter 3 / Exercise 61
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Abstract This is a compilation of a lot of quizzes, tests, and exams, and many of their solutions, from some of the calculus courses taught by the author at Trent University. Typos and other errors have been preserved for your enjoyment! Most of the content of this compilation can have no claim to originality and should properly be in the public domain. (It is very unlikely that, say, there is any integral worked out here that had never been worked out before or that was worked out here in an essentially new way.) Any original content, plus such trivialities as the arrangement of the material, is Copyright c 2011 Stefan Bilaniuk and is licensed under the Creative Commons Attribution 2.5 Canada License. To view a copy of this license, visit or send a letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California 94041, U.S.A. (The short version is that you can do whatever you like with material so licensed, so long as you acknowledge where it came from.) This compilation was was assembled with L A T E X, using the fullpage, hyperref, and graphicx packages. The original quizzes, tests, exams, and solutions collected in this work were in- cluded as pdf images, and were originally typeset using A M S -T E X. Various software, most frequently AppleWorks and Maple, was used to create the diagrams and graphs.
Contents I Many Questions 4 MATH 110 2001-2002 5 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 MATH 110 § A 2002-2003 14 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Test #1 (page 1 only) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 MATH 110 § A 2003-2004 25 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 MATH 105H Summer 2008 36 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 MATH 1100Y Summer 2010 42 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 MATH 1101Y 2010-2011 50 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 1
Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 MATH 1100Y Summer 2011 57 Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 II Some Answers 65 MATH 110 2001-2002 66 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Solutions to Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 MATH 110 § A 2002-2003 94 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Solutions to Test #1 (page 1 only) . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 MATH 110 § A 2003-2004 130 Solutions to the Quizzes (#1-5 only) . . . . . . . . . . . . . . . . . . . . . . . . . 131 Solutions to Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 MATH 105H Summer 2008 149 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 Solutions to the Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 MATH 1100Y Summer 2010 165 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 Solutions to Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Solutions to the Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 MATH 1101Y 2010-2011 212 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 Solutions to Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232 Solutions to the Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 2
MATH 1100Y Summer 2011 251 Solutions to the Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252 Solutions to Test #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269 Solutions to Test #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 Solutions to the Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 3
Part I Many Questions 4
Mathematics 110 Calculus I: Calculus of one variable 2001-2002 5
Mathematics 110 – Calculus of one variable Trent University 2001-2002 Quizzes Quiz #1. Friday, 21 September, 2001. [15 minutes] 1. Sketch the graph of a function f ( x ) with domain ( - 1 , 2) such that lim x 2 f ( x ) = 1 but lim x →-

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