Math 132 Exam 3 Fall 2016
|
|
- Marylou Hood
- 5 years ago
- Views:
Transcription
1 Math 3 Exam 3 Fall 06 multiple choice questions worth points each. hand graded questions worth and 3 points each. Exam covers sections.-.6: Sequences, Series, Integral, Comparison, Alternating, Absolute (not Root or Ratio) No calculators! For the multiple choice questions, mark your answer on the answer card. Show all your work for the written problems. Your ability to make your solution clear will be part of the grade. Useful Formulas n i= i = n(n+) n i= i = n(n+)(n+) 6 ( ) n i= i3 = n(n+) sin θ + cos θ = + tan θ = sec θ + cot θ = csc θ sin(a ± B) = sin A cos B ± sin B cos A cos(a ± B) = cos A cos B sin A sin B tan(a ± B) = tan A±tan B tan A tan B sin A sin B = [cos(a B) cos(a + B)] cos A cos B = [cos(a B) + cos(a + B)] sin A cos B = [sin(a + B) + cos(a B)] sin x = ( cos x) cos x = ( + cos x) sin(θ) = sin θ cos θ cos(θ) = cos θ sin θ csc x dx = ln csc x + cot x + C sec x dx = ln sec x + tan x + C
2 Math 3 Exam 3 Page of. Determine whether the sequence defined by a n = ln(n 3 + ) ln(n 3 + n + 4) converges or diverges. If it converges, find the limit. A. 0 B. ln ( ) C. ln ( ) D. E. F. 9 + x n. Find ALL possible values of x for which the series converges. n A. It is not possible to find such x because the series diverges. B. x > 0 C. x < D. 3 < x < 3 E. 3 < x < F. < x < G. < x < n=0
3 Math 3 Exam 3 Page 3 of 3. Determine whether the sequence defined by ( a n = n cos n + π ) converges or diverges. If it converges, find the limit. A. B. C. 0 D. E. F. π 4. Which of the following sequences converge? a n = (n + )! (n + 4)!, b n = πn n 00, c n = ln(n0 ) n, d n = n 4 (n + )! A. {d n } only B. {a n }, {b n } only C. {c n }, {d n } only D. {a n }, {d n } only E. {a n }, {b n }, {d n } only F. {a n }, {c n }, {d n } only G. All of them
4 Math 3 Exam 3 Page 4 of. Assume the terms of a sequence {a n } are given by the following formula a n = 3n 3 + 3n n n 3n 3 Find the limit of the sequence or conclude that it diverges. A. 0 B. C. D. 3 E. 6 F Determine the value of the series n= 6 n(n + 3) or conclude that it diverges. A. 0 B. 3 C. 3 D. 3 6 E. 3 3 F. 0
5 Math 3 Exam 3 Page of 7. Determine the value of the series n + 3 n+ n=0 4 n or conclude that it diverges. A. 4 B. 9 C. 3 D E. F Assume a n is an infinite series with partial sums given by S N = 4 +. What is a N? n= A. B. C. 0 D. 3 0 E. - 9 F. - G. - 0 H
6 Math 3 Exam 3 Page 6 of 9. Which of the following series converge? I. n= ( ) n + n II. n= ln(n 4 ) III. n= n n + A. None of them B. I only C. II only D. III only E. I and II F. I and III G. II and III H. All of them 0. The series n= n = π Find the value of the series ( ) 4. n 8π 4 A. 4 8π 4 B. 4 ( ) π 4 C D. 8π 4 E. 90 8π 4 F n=
7 Math 3 Exam 3 Page 7 of. Which of the following series converge? I. n= n + n 4 4 n + n II. n= 4 n n + n III. n= n! 3 n A. None of them B. I only C. II only D. III only E. I and II F. I and III G. II and III H. All of them. Which of the following series converge? I. n= ln n e n + II. n= sin (n) n + n 3/ III. n= ( ) n n /3 A. None of them B. I only C. II only D. III only E. I and II F. I and III G. II and III H. All of them
8 Math 3 Exam 3 Page 8 of 3. Which of the following alternating series converge conditionally, but not absolutely? I. n= ( ) n n ln n II. n= ( ) n n(ln n) III. n= cos(πn) n 3 A. None of them B. I only C. II only D. III only E. I and II F. I and III G. II and III H. All of them 4. For which values of p does the series A. All values of p B. < p < C. p > D. p n= e n ( + e n ) p converge? E. p > F. p G. No values of p
9 Math 3 Exam 3 Page 9 of. Let a n be a series with partial sums S N. n= always true? Which of the following statements are I. If lim n a n = 0, then a n converges. n= II. If III. If n= n= a n = L, then lim n a n = L. a n converges, then lim n a n = 0. IV. If lim N S N = L, then A. None of them B. I and II C. I and III D. II and III E. III and IV F. I, II, IV G. II, III, IV H. All of them a n = L. n=
10 Math 3 Exam 3 Page 0 of Name: ID: Discussion Section Letter: You can find your discussion section on the front of your exam book Written Problem. You will be graded on the readability of your work. Use the back of this sheet, if necessary. 6. Determine whether the following series converge or diverge. State any tests used and show that all conditions of the test are satisfied. ln n (a) n n=3 (b) n= 3 n n n 3
11 Math 3 Exam 3 Page of Name: ID: Discussion Section Letter: You can find your discussion section on the front of your exam book Written Problem. You will be graded on the readability of your work. Use the back of this sheet, if necessary. 7. Determine whether the following series converge absolutely, converge conditionally, or diverge. State any tests used and show that all conditions of the test are satisfied. (a) ( ) n arctan(n) n= (b) n= ( ) n n(n + )(n 3) (c) n= ( ) n n n +
Math 132 Exam 3 Fall 2016
Math 3 Exam 3 Fall 06 multiple choice questions worth points each. hand graded questions worth and 3 points each. Exam covers sections.-.6: Sequences, Series, Integral, Comparison, Alternating, Absolute
More information1 + x 2 d dx (sec 1 x) =
Page This exam has: 8 multiple choice questions worth 4 points each. hand graded questions worth 4 points each. Important: No graphing calculators! Any non-graphing, non-differentiating, non-integrating
More informationMath 131 Exam 2 Spring 2016
Math 3 Exam Spring 06 Name: ID: 7 multiple choice questions worth 4.7 points each. hand graded questions worth 0 points each. 0. free points (so the total will be 00). Exam covers sections.7 through 3.0
More informationMATH 127 SAMPLE FINAL EXAM I II III TOTAL
MATH 17 SAMPLE FINAL EXAM Name: Section: Do not write on this page below this line Part I II III TOTAL Score Part I. Multiple choice answer exercises with exactly one correct answer. Each correct answer
More informationMath 131 Final Exam Spring 2016
Math 3 Final Exam Spring 06 Name: ID: multiple choice questions worth 5 points each. Exam is only out of 00 (so there is the possibility of getting more than 00%) Exam covers sections. through 5.4 No graphing
More information- - - - - - - - - - - - - - - - - - DISCLAIMER - - - - - - - - - - - - - - - - - - General Information: This midterm is a sample midterm. This means: The sample midterm contains problems that are of similar,
More information- - - - - - - - - - - - - - - - - - DISCLAIMER - - - - - - - - - - - - - - - - - - General Information: This is a midterm from a previous semester. This means: This midterm contains problems that are of
More informationMath 113 (Calculus 2) Exam 4
Math 3 (Calculus ) Exam 4 November 0 November, 009 Sections 0, 3 7 Name Student ID Section Instructor In some cases a series may be seen to converge or diverge for more than one reason. For such problems
More informationTHE USE OF CALCULATORS, BOOKS, NOTES ETC. DURING THIS EXAMINATION IS PROHIBITED. Do not write in the blanks below. 1. (5) 7. (12) 2. (5) 8.
MATH 4 EXAMINATION II MARCH 24, 2004 TEST FORM A NAME STUDENT NUMBER INSTRUCTOR SECTION NUMBER This examination consists of 2 problems. The first 6 are multiple choice questions, the next two are short
More informationWithout fully opening the exam, check that you have pages 1 through 12.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show all your work on the standard response
More informationMath 113/113H Winter 2006 Departmental Final Exam
Name KEY Instructor Section No. Student Number Math 3/3H Winter 26 Departmental Final Exam Instructions: The time limit is 3 hours. Problems -6 short-answer questions, each worth 2 points. Problems 7 through
More informationC3 Exam Workshop 2. Workbook. 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2
C3 Exam Workshop 2 Workbook 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2 π. Give the value of α to 3 decimal places. (b) Hence write down the minimum value of 7 cos
More informationFinal exam for MATH 1272: Calculus II, Spring 2015
Final exam for MATH 1272: Calculus II, Spring 2015 Name: ID #: Signature: Section Number: Teaching Assistant: General Instructions: Please don t turn over this page until you are directed to begin. There
More informationWithout fully opening the exam, check that you have pages 1 through 12.
MTH 33 Exam 2 April th, 208 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show all
More informationMA FINAL EXAM Form 01 MAY 3, 2018
MA 16 FINAL EXAM Form 1 MAY, 18 NAME STUDENT ID # YOUR TA S NAME RECITATION TIME 1. You must use a # pencil on the scantron. a. Write 1 in the TEST/QUIZ NUMBER boxes and darken the appropriate bubbles
More informationMTH 133 Exam 2 November 16th, Without fully opening the exam, check that you have pages 1 through 12.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show all your work on the standard response
More informationMath 1B Final Exam, Solution. Prof. Mina Aganagic Lecture 2, Spring (6 points) Use substitution and integration by parts to find:
Math B Final Eam, Solution Prof. Mina Aganagic Lecture 2, Spring 20 The eam is closed book, apart from a sheet of notes 8. Calculators are not allowed. It is your responsibility to write your answers clearly..
More information3 a = 3 b c 2 = a 2 + b 2 = 2 2 = 4 c 2 = 3b 2 + b 2 = 4b 2 = 4 b 2 = 1 b = 1 a = 3b = 3. x 2 3 y2 1 = 1.
MATH 222 LEC SECOND MIDTERM EXAM THU NOV 8 PROBLEM ( 5 points ) Find the standard-form equation for the hyperbola which has its foci at F ± (±2, ) and whose asymptotes are y ± 3 x The calculations b a
More informationAbsolute Convergence and the Ratio Test
Absolute Convergence and the Ratio Test MATH 211, Calculus II J. Robert Buchanan Department of Mathematics Spring 2018 Bacground Remar: All previously covered tests for convergence/divergence apply only
More informationWithout fully opening the exam, check that you have pages 1 through 12.
MTH 33 Exam 2 November 4th, 208 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show
More informationHAND IN PART. Prof. Girardi Math 142 Spring Exam 1. NAME: key
HAND IN PART Prof. Girardi Math 4 Spring 4..4 Exam MARK BOX problem points 7 % NAME: key PIN: INSTRUCTIONS The mark box above indicates the problems along with their points. Check that your copy of the
More informationMTH 133 Solutions to Exam 2 April 19, Without fully opening the exam, check that you have pages 1 through 12.
MTH 33 Solutions to Exam 2 April 9, 207 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through
More informationMath 122 Test 3. April 15, 2014
SI: Math 1 Test 3 April 15, 014 EF: 1 3 4 5 6 7 8 Total Name Directions: 1. No books, notes or 6 year olds with ear infections. You may use a calculator to do routine arithmetic computations. You may not
More informationWithout fully opening the exam, check that you have pages 1 through 13.
MTH 33 Solutions to Exam November th, 08 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through
More informationMath 122 Test 3. April 17, 2018
SI: Math Test 3 April 7, 08 EF: 3 4 5 6 7 8 9 0 Total Name Directions:. No books, notes or April showers. You may use a calculator to do routine arithmetic computations. You may not use your calculator
More informationSection: I. u 4 du. (9x + 1) + C, 3
EXAM 3 MAT 168 Calculus II Fall 18 Name: Section: I All answers must include either supporting work or an eplanation of your reasoning. MPORTANT: These elements are considered main part of the answer and
More informationFinal exam (practice) UCLA: Math 31B, Spring 2017
Instructor: Noah White Date: Final exam (practice) UCLA: Math 31B, Spring 2017 This exam has 8 questions, for a total of 80 points. Please print your working and answers neatly. Write your solutions in
More informationMath Test #3 Info and Review Exercises
Math 181 - Test #3 Info and Review Exercises Fall 2018, Prof. Beydler Test Info Date: Wednesday, November 28, 2018 Will cover sections 10.1-10.4, 11.1-11.7. You ll have the entire class to finish the test.
More informationFriday 09/15/2017 Midterm I 50 minutes
Fa 17: MATH 2924 040 Differential and Integral Calculus II Noel Brady Friday 09/15/2017 Midterm I 50 minutes Name: Student ID: Instructions. 1. Attempt all questions. 2. Do not write on back of exam sheets.
More informationMATH section 3.1 Maximum and Minimum Values Page 1 of 7
MATH section. Maimum and Minimum Values Page of 7 Definition : Let c be a number in the domain D of a function f. Then c ) is the Absolute maimum value of f on D if ) c f() for all in D. Absolute minimum
More informationMath 113 Fall 2005 key Departmental Final Exam
Math 3 Fall 5 key Departmental Final Exam Part I: Short Answer and Multiple Choice Questions Do not show your work for problems in this part.. Fill in the blanks with the correct answer. (a) The integral
More informationFall 2017 Exam 1 MARK BOX HAND IN PART NAME: PIN:
problem MARK BOX points HAND IN PART 0 30 1-10 50=10x5 11 10 1 10 NAME: PIN: % 100 INSTRUCTIONS This exam comes in two parts. (1) HAND IN PART. Hand in only this part. () STATEMENT OF MULTIPLE CHOICE PROBLEMS.
More informationMath 2153, Exam III, Apr. 17, 2008
Math 53, Exam III, Apr. 7, 8 Name: Score: Each problem is worth 5 points. The total is 5 points. For series convergence or ivergence, please write own the name of the test you are using an etails of using
More information8.1 Sequences. Example: A sequence is a function f(n) whose domain is a subset of the integers. Notation: *Note: n = 0 vs. n = 1.
8. Sequences Example: A sequence is a function f(n) whose domain is a subset of the integers. Notation: *Note: n = 0 vs. n = Examples: 6. Find a formula for the general term a n of the sequence, assuming
More informationMath 126 Enhanced 10.3 Series with positive terms The University of Kansas 1 / 12
Section 10.3 Convergence of series with positive terms 1. Integral test 2. Error estimates for the integral test 3. Comparison test 4. Limit comparison test (LCT) Math 126 Enhanced 10.3 Series with positive
More informationMath 113 Winter 2005 Key
Name Student Number Section Number Instructor Math Winter 005 Key Departmental Final Exam Instructions: The time limit is hours. Problem consists of short answer questions. Problems through are multiple
More informationMTH 133 Solutions to Exam 2 November 15, Without fully opening the exam, check that you have pages 1 through 13.
MTH 33 Solutions to Exam 2 November 5, 207 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through
More informationPhysics 7B, Speliotopoulos Final Exam, Fall 2014 Berkeley, CA
Physics 7B, Speliotopoulos Final Exam, Fall 4 Berkeley, CA Rules: This final exam is closed book and closed notes. In particular, calculators are not allowed during this exam. Cell phones must be turned
More informationFinal exam (practice) UCLA: Math 31B, Spring 2017
Instructor: Noah White Date: Final exam (practice) UCLA: Math 3B, Spring 207 This exam has 8 questions, for a total of 80 points. Please print your working and answers neatly. Write your solutions in the
More informationPre-Calculus Exam 2009 University of Houston Math Contest. Name: School: There is no penalty for guessing.
Pre-Calculus Exam 009 University of Houston Math Contest Name: School: Please read the questions carefully and give a clear indication of your answer on each question. There is no penalty for guessing.
More information3! + 4! + Binomial series: if α is a nonnegative integer, the series terminates. Otherwise, the series converges if x < 1 but diverges if x > 1.
Page 1 Name: ID: Section: This exam has 16 questions: 14 multiple choice questions worth 5 points each. hand graded questions worth 15 points each. Important: No graphing calculators! Any non-graphing
More informationPrelim 2 Math Please show your reasoning and all your work. This is a 90 minute exam. Calculators are not needed or permitted. Good luck!
April 4, Prelim Math Please show your reasoning and all your work. This is a 9 minute exam. Calculators are not needed or permitted. Good luck! Trigonometric Formulas sin x sin x cos x cos (u + v) cos
More informationMATH 152, Fall 2017 COMMON EXAM II - VERSION A
MATH 15, Fall 17 COMMON EXAM II - VERSION A LAST NAME(print): FIRST NAME(print): INSTRUCTOR: SECTION NUMBER: DIRECTIONS: 1. The use of a calculator, laptop or computer is prohibited.. TURN OFF cell phones
More informationTrigonometric Identities Exam Questions
Trigonometric Identities Exam Questions Name: ANSWERS January 01 January 017 Multiple Choice 1. Simplify the following expression: cos x 1 cot x a. sin x b. cos x c. cot x d. sec x. Identify a non-permissible
More informationCALCULUS II MATH Dr. Hyunju Ban
CALCULUS II MATH 2414 Dr. Hyunju Ban Introduction Syllabus Chapter 5.1 5.4 Chapters To Be Covered: Chap 5: Logarithmic, Exponential, and Other Transcendental Functions (2 week) Chap 7: Applications of
More informationAbsolute Convergence and the Ratio Test
Absolute Convergence and the Ratio Test MATH 211, Calculus II J. Robert Buchanan Department of Mathematics Spring 2018 Bacground Remar: All previously covered tests for convergence/divergence apply only
More informationMATH 162. FINAL EXAM ANSWERS December 17, 2006
MATH 6 FINAL EXAM ANSWERS December 7, 6 Part A. ( points) Find the volume of the solid obtained by rotating about the y-axis the region under the curve y x, for / x. Using the shell method, the radius
More informationJuly 21 Math 2254 sec 001 Summer 2015
July 21 Math 2254 sec 001 Summer 2015 Section 8.8: Power Series Theorem: Let a n (x c) n have positive radius of convergence R, and let the function f be defined by this power series f (x) = a n (x c)
More informationPhysics 7B, Speliotopoulos Final Exam, Spring 2014 Berkeley, CA
Physics 7B, Speliotopoulos Final Exam, Spring 4 Berkeley, CA Rules: This final exam is closed book and closed notes. In particular, calculators are not allowed during this exam. Cell phones must be turned
More informationMA 126 CALCULUS II Wednesday, December 14, 2016 FINAL EXAM. Closed book - Calculators and One Index Card are allowed! PART I
CALCULUS II, FINAL EXAM 1 MA 126 CALCULUS II Wednesday, December 14, 2016 Name (Print last name first):................................................ Student Signature:.........................................................
More informationSeries. Xinyu Liu. April 26, Purdue University
Series Xinyu Liu Purdue University April 26, 2018 Convergence of Series i=0 What is the first step to determine the convergence of a series? a n 2 of 21 Convergence of Series i=0 What is the first step
More informationMATH 104 SAMPLE FINAL SOLUTIONS. e x/2 cos xdx.
MATH 0 SAMPLE FINAL SOLUTIONS CLAY SHONKWILER () Evaluate the integral e / cos d. Answer: We integrate by parts. Let u = e / and dv = cos d. Then du = e / d and v = sin. Then the above integral is equal
More informationInverse Trig Functions
6.6i Inverse Trigonometric Functions Inverse Sine Function Does g(x) = sin(x) have an inverse? What restriction would we need to make so that at least a piece of this function has an inverse? Given f (x)
More informationTrig Identities, Solving Trig Equations Answer Section
Trig Identities, Solving Trig Equations Answer Section MULTIPLE CHOICE. ANS: B PTS: REF: Knowledge and Understanding OBJ: 7. - Compound Angle Formulas. ANS: A PTS: REF: Knowledge and Understanding OBJ:
More information- - - - - - - - - - - - - - - - - - DISCLAIMER - - - - - - - - - - - - - - - - - - General Information: This midterm is a sample midterm. This means: The sample midterm contains problems that are of similar,
More informationMath 1272 Solutions for Fall 2005 Final Exam
Math 7 Solutions for Fall 5 Final Exam ) This fraction appears in Problem 5 of the undated-? exam; a solution can be found in that solution set. (E) ) This integral appears in Problem 6 of the Fall 4 exam;
More informationFall 2018 Exam 1 NAME:
MARK BOX problem points 0 20 HAND IN PART -8 40=8x5 9 0 NAME: 0 0 PIN: 0 2 0 % 00 INSTRUCTIONS This exam comes in two parts. () HAND IN PART. Hand in only this part. (2) STATEMENT OF MULTIPLE CHOICE PROBLEMS.
More informationChapter 5: Trigonometric Functions of Angles Homework Solutions
Chapter : Trigonometric Functions of Angles Homework Solutions Section.1 1. D = ( ( 1)) + ( ( )) = + 8 = 100 = 10. D + ( ( )) + ( ( )) = + = 1. (x + ) + (y ) =. (x ) + (y + 7) = r To find the radius, we
More informationFundamental Trigonometric Identities
Fundamental Trigonometric Identities MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 Objectives In this lesson we will learn to: recognize and write the fundamental trigonometric
More information9.1. Click here for answers. Click here for solutions. PARAMETRIC CURVES
SECTION 9. PARAMETRIC CURVES 9. PARAMETRIC CURVES A Click here for answers. S Click here for solutions. 5 (a) Sketch the curve b using the parametric equations to plot points. Indicate with an arrow the
More information10.1 Sequences. Example: A sequence is a function f(n) whose domain is a subset of the integers. Notation: *Note: n = 0 vs. n = 1.
10.1 Sequences Example: A sequence is a function f(n) whose domain is a subset of the integers. Notation: *Note: n = 0 vs. n = 1 Examples: EX1: Find a formula for the general term a n of the sequence,
More informationDRAFT - Math 102 Lecture Note - Dr. Said Algarni
Math02 - Term72 - Guides and Exercises - DRAFT 7 Techniques of Integration A summery for the most important integrals that we have learned so far: 7. Integration by Parts The Product Rule states that if
More informationFINAL - PART 1 MATH 150 SPRING 2017 KUNIYUKI PART 1: 135 POINTS, PART 2: 115 POINTS, TOTAL: 250 POINTS No notes, books, or calculators allowed.
Math 150 Name: FINAL - PART 1 MATH 150 SPRING 2017 KUNIYUKI PART 1: 135 POINTS, PART 2: 115 POINTS, TOTAL: 250 POINTS No notes, books, or calculators allowed. 135 points: 45 problems, 3 pts. each. You
More informationFINAL EXAM Math 25 Temple-F06
FINAL EXAM Math 25 Temple-F06 Write solutions on the paper provided. Put your name on this exam sheet, and staple it to the front of your finished exam. Do Not Write On This Exam Sheet. Problem 1. (Short
More informationCarolyn Abbott Tejas Bhojraj Zachary Carter Mohamed Abou Dbai Ed Dewey. Jale Dinler Di Fang Bingyang Hu Canberk Irimagzi Chris Janjigian
Practice Final a MATH 222 (Lectures 1,2, and 4) Fall 2015. Name: Student ID#: Circle your TAs name: Carolyn Abbott Tejas Bhojraj Zachary Carter Mohamed Abou Dbai Ed Dewey Jale Dinler Di Fang Bingyang Hu
More informationThere are some trigonometric identities given on the last page.
MA 114 Calculus II Fall 2015 Exam 4 December 15, 2015 Name: Section: Last 4 digits of student ID #: No books or notes may be used. Turn off all your electronic devices and do not wear ear-plugs during
More informationTuesday, May 2, 2006
Final Exam MTH, Section # Tuesday, May, 006 Name (Print) Signature PID# DO NOT BEGIN THIS TEST UNTIL YOU ARE TOLD TO DO SO. This exam consists of multiple choice questions and open-ended questions on pages,
More informationMultiple Choice Answers. MA 114 Calculus II Spring 2013 Final Exam 1 May Question
MA 114 Calculus II Spring 2013 Final Exam 1 May 2013 Name: Section: Last 4 digits of student ID #: This exam has six multiple choice questions (six points each) and five free response questions with points
More informationHKUST. MATH1014 Calculus II. Directions:
HKUST MATH114 Calculus II Midterm Eamination (Sample Version) Name: Student ID: Lecture Section: Directions: This is a closed book eamination. No Calculator is allowed in this eamination. DO NOT open the
More informationSummer Work Packet for MPH Math Classes
Summer Work Packet for MPH Math Classes Students going into AP Calculus AB Sept. 018 Name: This packet is designed to help students stay current with their math skills. Each math class expects a certain
More informationMAS153/MAS159. MAS153/MAS159 1 Turn Over SCHOOL OF MATHEMATICS AND STATISTICS hours. Mathematics (Materials) Mathematics For Chemists
Data provided: Formula sheet MAS53/MAS59 SCHOOL OF MATHEMATICS AND STATISTICS Mathematics (Materials Mathematics For Chemists Spring Semester 203 204 3 hours All questions are compulsory. The marks awarded
More informationUniversity of Regina Department of Mathematics and Statistics Math 111 All Sections (Winter 2013) Final Exam April 25, 2013
University of Regina Department of Mathematics and Statistics Math 111 All Sections (Winter 013) Final Exam April 5, 013 Name: Student Number: Please Check Off Your Instructor: Dr. R. McIntosh (001) Dr.
More informationMA EXAM 3 INSTRUCTIONS VERSION 01 April 14, Section # and recitation time
MA 16600 EXAM 3 INSTRUCTIONS VERSION 01 April 14, 2015 Your name Student ID # Your TA s name Section # and recitation time 1. You must use a #2 pencil on the scantron sheet (answer sheet). 2. Check that
More informationMA EXAM 3 INSTRUCTIONS VERSION 01 April 18, Section # and recitation time
MA 16600 EXAM 3 INSTRUCTIONS VERSION 01 April 18, 2018 Your name Student ID # Your TA s name Section # and recitation time 1. You must use a #2 pencil on the scantron sheet (answer sheet). 2. Check that
More informationMATH 104 : Final Exam
MATH 104 : Final Exam 10 May, 2017 Name: You have 3 hours to answer the questions. You are allowed one page (front and back) worth of notes. The page should not be larger than a standard US letter size.
More informationThe answers below are not comprehensive and are meant to indicate the correct way to solve the problem. sin
Math : Practice Final Answer Key Name: The answers below are not comprehensive and are meant to indicate the correct way to solve the problem. Problem : Consider the definite integral I = 5 sin ( ) d.
More informationa k 0, then k + 1 = 2 lim 1 + 1
Math 7 - Midterm - Form A - Page From the desk of C. Davis Buenger. https://people.math.osu.edu/buenger.8/ Problem a) [3 pts] If lim a k = then a k converges. False: The divergence test states that if
More informationMath 112, Precalculus Mathematics Sample for the Final Exam.
Math 11, Precalculus Mathematics Sample for the Final Exam. Phone use is not allowed on this exam. You may use a standard two sided sheet of note paper and a calculator. The actual final exam consists
More informationWithout fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response
More informationFinal Exam Review Quesitons
Final Exam Review Quesitons. Compute the following integrals. (a) x x 4 (x ) (x + 4) dx. The appropriate partial fraction form is which simplifies to x x 4 (x ) (x + 4) = A x + B (x ) + C x + 4 + Dx x
More informationChapter 8 Indeterminate Forms and Improper Integrals Math Class Notes
Chapter 8 Indeterminate Forms and Improper Integrals Math 1220-004 Class Notes Section 8.1: Indeterminate Forms of Type 0 0 Fact: The it of quotient is equal to the quotient of the its. (book page 68)
More information3! + 4! + Binomial series: if α is a nonnegative integer, the series terminates. Otherwise, the series converges if x < 1 but diverges if x > 1.
Page 1 Name: ID: Section: This exam has 16 questions: 14 multiple choice questions worth 5 points each. hand graded questions worth 15 points each. Important: No graphing calculators! Any non-graphing
More informationMath 162: Calculus IIA
Math 162: Calculus IIA Final Exam December 15, 2015 NAME (please print legibly): Your University ID Number: Your University email Indicate your instructor with a check in the box: JJ Lee Doug Ravenel Timur
More informationINSTRUCTOR SAMPLE E. Check that your exam contains 25 questions numbered sequentially. Answer Questions 1-25 on your scantron.
MATH 41 FINAL EXAM NAME SECTION NUMBER INSTRUCTOR SAMPLE E On your scantron, write and bubble your PSU ID, Section Number, and Test Version. Failure to correctly code these items may result in a loss of
More informationMA 113 Calculus I Fall 2015 Exam 3 Tuesday, 17 November Multiple Choice Answers. Question
MA 11 Calculus I Fall 2015 Exam Tuesday, 17 November 2015 Name: Section: Last 4 digits of student ID #: This exam has ten multiple choice questions (five points each) and five free response questions (ten
More informationCarolyn Abbott Tejas Bhojraj Zachary Carter Mohamed Abou Dbai Ed Dewey. Jale Dinler Di Fang Bingyang Hu Canberk Irimagzi Chris Janjigian
Final a MATH 222 (Lectures,2, and 4) Fall 205. Name: Student ID#: Circle your TAs name: Carolyn Abbott Tejas Bhojraj Zachary Carter Mohamed Abou Dbai Ed Dewey Jale Dinler Di Fang Bingyang Hu Canberk Irimagzi
More informationMath 113 (Calculus II) Final Exam KEY
Math (Calculus II) Final Exam KEY Short Answer. Fill in the blank with the appropriate answer.. (0 points) a. Let y = f (x) for x [a, b]. Give the formula for the length of the curve formed by the b graph
More informationMATH141: Calculus II Exam #4 7/21/2017 Page 1
MATH141: Calculus II Exam #4 7/21/2017 Page 1 Write legibly and show all work. No partial credit can be given for an unjustified, incorrect answer. Put your name in the top right corner and sign the honor
More informationREVIEW: MORE FUNCTIONS AP CALCULUS :: MR. VELAZQUEZ
REVIEW: MORE FUNCTIONS AP CALCULUS :: MR. VELAZQUEZ INVERSE FUNCTIONS Two functions are inverses if they undo each other. In other words, composing one function in the other will result in simply x (the
More informationMA EXAM 2 INSTRUCTIONS VERSION 01 March 10, Section # and recitation time
MA 66 EXAM INSTRUCTIONS VERSION March, Your name Student ID # Your TA s name Section # and recitation time. You must use a # pencil on the scantron sheet (answer sheet).. Check that the cover of your question
More informationFinal Exam Practice Problems Part II: Sequences and Series Math 1C: Calculus III
Name : c Jeffrey A. Anderson Class Number:. Final Exam Practice Problems Part II: Sequences and Series Math C: Calculus III What are the rules of this exam? PLEASE DO NOT TURN THIS PAGE UNTIL TOLD TO DO
More informationMath 112, Precalculus Mathematics Solutions to Sample for the Final Exam.
Math 11, Precalculus Mathematics Solutions to Sample for the Final Exam. Phone and calculator use is not allowed on this exam. You may use a standard one sided sheet of note paper. The actual final exam
More informationMath 232: Final Exam Version A Spring 2015 Instructor: Linda Green
Math 232: Final Exam Version A Spring 2015 Instructor: Linda Green Name: 1. Calculators are allowed. 2. You must show work for full and partial credit unless otherwise noted. In particular, you must evaluate
More informationMath 121: Final Exam Review Sheet
Exam Information Math 11: Final Exam Review Sheet The Final Exam will be given on Thursday, March 1 from 10:30 am 1:30 pm. The exam is cumulative and will cover chapters 1.1-1.3, 1.5, 1.6,.1-.6, 3.1-3.6,
More informationPower Series. Part 1. J. Gonzalez-Zugasti, University of Massachusetts - Lowell
Power Series Part 1 1 Power Series Suppose x is a variable and c k & a are constants. A power series about x = 0 is c k x k A power series about x = a is c k x a k a = center of the power series c k =
More informationVANDERBILT UNIVERSITY MAT 155B, FALL 12 SOLUTIONS TO THE PRACTICE FINAL.
VANDERBILT UNIVERSITY MAT 55B, FALL SOLUTIONS TO THE PRACTICE FINAL. Important: These solutions should be used as a guide on how to solve the problems and they do not represent the format in which answers
More information- - - - - - - - - - - - - - - - - - DISCLAIMER - - - - - - - - - - - - - - - - - - General Information: This is a midterm from a previous semester. This means: This midterm contains problems that are of
More informationMath 113 Winter 2005 Departmental Final Exam
Name Student Number Section Number Instructor Math Winter 2005 Departmental Final Exam Instructions: The time limit is hours. Problem consists of short answer questions. Problems 2 through are multiple
More informationMATH 152, Fall 2017 COMMON EXAM III - VERSION A
MATH 152, Fall 2017 COMMON EXAM III - VERSION A LAST NAME(print): FIRST NAME(print): INSTRUCTOR: SECTION NUMBER: DIRECTIONS: 1. The use of a calculator, laptop or computer is prohibited. 2. TURN OFF cell
More informationMATH 152, Fall 2017 COMMON EXAM III - VERSION B
MATH 152, Fall 2017 COMMON EXAM III - VERSION B LAST NAME(print): FIRST NAME(print): INSTRUCTOR: SECTION NUMBER: DIRECTIONS: 1. The use of a calculator, laptop or computer is prohibited. 2. TURN OFF cell
More information