Bryn Mawr College Department of Physics Mathematics Readiness Examination for Introductory Physics
|
|
- Brett Gaines
- 6 years ago
- Views:
Transcription
1 Brn Mawr College Department of Phsics Mathematics Readiness Eamination for Introductor Phsics There are 7 questions and ou should do this eam in two and a half hours. Do not use an books, calculators, or computers.. If, then + (C) 4. A clinder has a circular cross section of diameter 4 cm (centimeters) and length 5 cm. The volume is approimatel 600 cm 60 cm (C) 6,000 cm 0.6 cm 6 cm. If, then (C) 7 4. The area under this line between and 5 is about (C)
2 Introductor Phsics Mathematics Readiness Eamination 5. ( )( 6) 4 (C) 6. ( ) (C) ( )(4 + ) (C) C (C) A. + + (C) ( +0) ( 0) (C) ( + 0)( 0) ( 50)( 50) ( )( 50). ( )6 ( 0 ) (C)
3 Introductor Phsics Mathematics Readiness Eamination. ( + ) ( ) (C) If A and B in the following triangle, then C A 0 90 C a / / (C) 5 B 4. If of a number is 8, then what is 4 of the number? 6 (C) If and 5, then 40 0 (C) If there are about three feet in a meter, 5 meters is about 8 feet 75 feet (C) 450 feet 4.5 feet 0.45 feet 7. ( + ) ( 5 ) (C)
4 Introductor Phsics Mathematics Readiness Eamination (C) ( )( + ) ( )( ) (C) ( )( + ) ( + )( ) ( )( ) 0. ln( ab) 0 ab e ab (C) e ( a+b) ln( a)+ln( b) a ln(b) (C) (C) The bo pictured below has a square base and a closed top. Epress its surface area in terms of and h. h (C) + 4h 8 + 4h 4 + h h + 4h
5 Introductor Phsics Mathematics Readiness Eamination 5 4. If 4 and 7, then (C) 8 5. If f () is a function whose graph is the parabola sketched below, then f ( ) < 0 whenever < 0 < (C) > < or > < < 6. If mone in a bank doubles ever 5 ears, then b what factor does it increase over a 0 ear period? 4 8 (C) Definition: A function is even if f ( ) f ( ) for each in the domain of f. Which of the functions whose graphs are shown is even? (C)
6 Introductor Phsics Mathematics Readiness Eamination 6 8. If , then 6 5 (C) ( 0)( 5)( )() (C) The -coordinate of the intersection of the graphs of 6 and + is (C) (C) (7). 7 9 (C) Which of the following best resembles the graph of +? (C) 4. If log ( + ), then 5 6 (C) 7 8 log
7 Introductor Phsics Mathematics Readiness Eamination 7 5. ( )( )( ) 6 (C) Which of the following curves best resembles the graph of f ( )? (C) ( + )( ) 7. If 0, then ( + ) or or (C),, or or,, or 8. a 5b a + b b a b (C) 4a 7b a a +b b 9. The smbol means "is approimatel equal to." Given that 7 000, then 4 4,000 40,000 (C) 400,000 4,000,000 8,000
8 Introductor Phsics Mathematics Readiness Eamination In the given figure, the distance between points A and C is 8 0 (C) 4 6 A(,) C(5,8) B(5,) If f ( ), then f (a + ) + 5 a + 8 a + 4 (C) a + 0 a + 4 a + 6 a + a + 6 a The graph of the equation 5 + is a horizontal line (C) a vertical line not a line a line rising to the right a line falling to the right 4. If a + b and a 0, then b + a b a (C) b a b b 44. The quantit a + b is a factor of how man of the following: a b a + b a b a + b 0 (C) p > p + is equivalent to p > p > (C) p > 4 p > 6 p > 5
9 Introductor Phsics Mathematics Readiness Eamination In the triangle shown, tan( a) A 0 90 B C a A/B B/A (C) B/C A/C C/A 47. A ab A a+b ba a (C) A a A b ( A a ) b A a A b 48. The area of the rectangle pictured below is (C) f ( ) Suppose the sides of a rectangle with length and width are each doubled. The area of the rectangle now is (C) (4 raised to the zeroth power) 0 (C) 4 0.5
10 Introductor Phsics Mathematics Readiness Eamination ( + 5) 7 (C) 5. In the triangle shown, sin( b) 4 b d D c.. (C) is equivalent to (C) 54. / / 0 4/9 (C) 9/ The length of a certain rectangle is meters more than twice its width. If the perimeter of the rectangle is 90 meters, then the width of the rectangle is 6 m m (C) 4 m 6 m 9 m 56. 4( s + ) ( ) 4 s s + 6 (C) 4 s + s s /4 /7 7/8 5/8 (C) /4 /47 /4
11 Introductor Phsics Mathematics Readiness Eamination 58. If 5 <, then < 5 > (C) 5 < > 5 5 > Definition: A function f () has a minimum value at the number c if f ( c) f ( ) for ever in the domain of f (). If the domain of the function whose graph appears on the right is[ 0,4], at which number does the function have a minimum value? 0 (C) The side D in this triangle is 4 b d D c 5 5 (C) ( ) ( 6) 8 8 (C) sin θ cos θ cos θ (C) cos θ csc θ cos( θ ) 6. If f ( ) cos(), then f ( 6)
12 Introductor Phsics Mathematics Readiness Eamination 0 (C) 64. The circumference of a circle of radius R is R R (C) R R R 65. Which of the following best represents the graph of sin for between and (C) 66. sin θ tanθ csc θ tan θ sin θ cos θ (C) sin θ tan θ sec θ 67. For which value of is tan not defined? (C) 0 4
13 Introductor Phsics Mathematics Readiness Eamination 68. The area of a circle of radius R is R R (C) R R R 69. The angle a in this triangle is A 0 90 B C a (C) The slope of line A is (C) A If there are (5/8) mile per km (kilometer) and 60 seconds in a minute, then 00 km/minute is about miles/second 4,000 miles/second (C) 6 miles/second 0. miles/second mile/second
Bryn Mawr College Department of Physics Mathematics Readiness Examination for Introductory Physics
Brn Mawr College Department of Phsics Mathematics Readiness Eamination for Introductor Phsics There are 7 questions and ou should do this eam in two and a half hours. Do not use an books, calculators,
More informationMATHEMATICS LEVEL 2 TEST FORM B Continued
Mathematics Level Test Form B For each of the following problems, decide which is the BEST of the choices given. If the eact numerical value is not one of the choices, select the choice that best approimates
More informationMATHEMATICS LEVEL 2. MATHEMATICS LEVEL 2 Continued GO ON TO THE NEXT PAGE USE THIS SPACE FOR SCRATCHWORK. 1. If xy 0 and 3x = 0.
MATHEMATICS LEVEL For each of the following problems, decide which is the BEST of the choices given. If the eact numerical value is not one of the choices, select the choice that best approimates this
More informationMathematics Placement Examination (MPE)
Practice Problems for Mathematics Placement Eamination (MPE) Revised June, 011 When ou come to New Meico State Universit, ou ma be asked to take the Mathematics Placement Eamination (MPE) Your inital placement
More informationMAT 123 Final Exam. Part I (Type A) November 21, θ =
MAT Final Eam Part I (Type A) November, 00 Student ID: Name: NOTICE. On your OPSCAN form you should write your last name, first name and Stony Brook ID only. Bubble in the circles correspondingly. DO NOT
More informationAP Calculus AB Information and Summer Assignment
AP Calculus AB Information and Summer Assignment General Information: Competency in Algebra and Trigonometry is absolutely essential. The calculator will not always be available for you to use. Knowing
More information9.1 Practice A. Name Date sin θ = and cot θ = to sketch and label the triangle. Then evaluate. the other four trigonometric functions of θ.
.1 Practice A In Eercises 1 and, evaluate the si trigonometric functions of the angle. 1.. 8 1. Let be an acute angle of a right triangle. Use the two trigonometric functions 10 sin = and cot = to sketch
More informationWelcome to Advanced Placement Calculus!! Summer Math
Welcome to Advanced Placement Calculus!! Summer Math - 017 As Advanced placement students, your first assignment for the 017-018 school year is to come to class the very first day in top mathematical form.
More informationPreCalculus First Semester Exam Review
PreCalculus First Semester Eam Review Name You may turn in this eam review for % bonus on your eam if all work is shown (correctly) and answers are correct. Please show work NEATLY and bo in or circle
More informationPrecalculus Honors - AP Calculus A Information and Summer Assignment
Precalculus Honors - AP Calculus A Information and Summer Assignment General Information: Competenc in Algebra and Trigonometr is absolutel essential. The calculator will not alwas be available for ou
More informationAP Calculus AB Summer Packet 2018
AP Calculus AB Summer Packet 2018 Dear Calculus Student: To be successful in AP Calculus AB, you must be proficient at solving and simplifying each type of problem in this packet. This is a review of Algebra
More informationDiagnostic Tests Study Guide
California State Universit, Sacramento Department of Mathematics and Statistics Diagnostic Tests Stud Guide Descriptions Stud Guides Sample Tests & Answers Table of Contents: Introduction Elementar Algebra
More informationPRECALCULUS FINAL EXAM REVIEW
PRECALCULUS FINAL EXAM REVIEW Evaluate the function at the indicated value of. Round our result to three decimal places.. f () 4(5 ); 0.8. f () e ; 0.78 Use the graph of f to describe the transformation
More informationAnswer Explanations. The SAT Subject Tests. Mathematics Level 1 & 2 TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE
The SAT Subject Tests Answer Eplanations TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE Mathematics Level & Visit sat.org/stpractice to get more practice and stud tips for the Subject Test
More information1985 AP Calculus AB: Section I
985 AP Calculus AB: Section I 9 Minutes No Calculator Notes: () In this eamination, ln denotes the natural logarithm of (that is, logarithm to the base e). () Unless otherwise specified, the domain of
More informationINTERMEDIATE ALGEBRA REVIEW FOR TEST 1
INTERMEDIATE ALGEBRA REVIEW FOR TEST 1 Write the set using the roster method. 1) a) { is a counting number less than 7} b) { is a whole number between 4 and 8} Let A = {0, 2, 4, 6, 8, }, B = {0,, 6, 9},
More informationM151B Practice Problems for Final Exam
M5B Practice Problems for Final Eam Calculators will not be allowed on the eam. Unjustified answers will not receive credit. On the eam you will be given the following identities: n k = n(n + ) ; n k =
More informationI) Simplifying fractions: x x. 1) 1 1 y x. 1 1 x 1. 4 x. 13x. x y xy. x 2. Factoring: 10) 13) 12) III) Solving: x 9 Prime (using only) 11)
AP Calculus Summer Packet Answer Key Reminders:. This is not an assignment.. This will not be collected.. You WILL be assessed on these skills at various times throughout the course.. You are epected to
More informationLos Angeles Mission College
Los Angeles Mission College Math : Elementar Algebra Common Final Practice Set This practice set is a compilation of 0 questions that are similar in content to those on the common final. Since the content
More informatione x for x 0. Find the coordinates of the point of inflexion and justify that it is a point of inflexion. (Total 7 marks)
Chapter 0 Application of differential calculus 014 GDC required 1. Consider the curve with equation f () = e for 0. Find the coordinates of the point of infleion and justify that it is a point of infleion.
More informationReview Exercises for Chapter 2
Review Eercises for Chapter 367 Review Eercises for Chapter. f 1 1 f f f lim lim 1 1 1 1 lim 1 1 1 1 lim 1 1 lim lim 1 1 1 1 1 1 1 1 1 4. 8. f f f f lim lim lim lim lim f 4, 1 4, if < if (a) Nonremovable
More informationAP Calculus BC Chapter 4 AP Exam Problems A) 4 B) 2 C) 1 D) 0 E) 2 A) 9 B) 12 C) 14 D) 21 E) 40
Extreme Values in an Interval AP Calculus BC 1. The absolute maximum value of x = f ( x) x x 1 on the closed interval, 4 occurs at A) 4 B) C) 1 D) 0 E). The maximum acceleration attained on the interval
More information1993 AP Calculus AB: Section I
99 AP Calculus AB: Section I 9 Minutes Scientific Calculator Notes: () The eact numerical value of the correct answer does not always appear among the choices given. When this happens, select from among
More information2018 Midterm Review Trigonometry: Midterm Review A Missive from the Math Department Trigonometry Work Problems Study For Understanding Read Actively
Summer . Fill in the blank to correctl complete the sentence..4 written in degrees and minutes is..4 written in degrees and minutes is.. Find the complement and the supplement of the given angle. The complement
More informationAP Calc AB First Semester Review
AP Calc AB First Semester Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the limit. 1) lim (7-7) 7 A) -4 B) -56 C) 4 D) 56 1) Determine
More informationCHAPTER 4 Trigonometry
CHAPTER Trigonometr Section. Radian and Degree Measure You should know the following basic facts about angles, their measurement, and their applications. Tpes of Angles: (a) Acute: Measure between 0 and
More informationAdd Math (4047) Paper 2
1. Solve the simultaneous equations 5 and 1. [5]. (i) Sketch the graph of, showing the coordinates of the points where our graph meets the coordinate aes. [] Solve the equation 10, giving our answer correct
More informationARE YOU READY FOR CALCULUS?? Name: Date: Period:
ARE YOU READY FOR CALCULUS?? Name: Date: Period: Directions: Complete the following problems. **You MUST show all work to receive credit.**(use separate sheets of paper.) Problems with an asterisk (*)
More informationAP Calculus (BC) Summer Assignment (169 points)
AP Calculus (BC) Summer Assignment (69 points) This packet is a review of some Precalculus topics and some Calculus topics. It is to be done NEATLY and on a SEPARATE sheet of paper. Use your discretion
More informationTO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet.
MATH TEST 4 REVIEW TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet. PART NON-CALCULATOR DIRECTIONS: The problems
More informationTechnical Calculus I Homework. Instructions
Technical Calculus I Homework Instructions 1. Each assignment is to be done on one or more pieces of regular-sized notebook paper. 2. Your name and the assignment number should appear at the top of the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. D) D: (-, 0) (0, )
Midterm Practice Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain and graph the function. ) G(t) = t - 3 ) 3 - -3 - - 3 - - -3
More informationIntegration Techniques for the AB exam
For the AB eam, students need to: determine antiderivatives of the basic functions calculate antiderivatives of functions using u-substitution use algebraic manipulation to rewrite the integrand prior
More informationGRADE 8. Mathematics. Administered March 2017 RELEASED
STAAR State of Teas Assessments of Academic Readiness GRADE 8 Administered March 2017 RELEASED Copright 2017, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is
More informationThe slope, m, compares the change in y-values to the change in x-values. Use the points (2, 4) and (6, 6) to determine the slope.
LESSON Relating Slope and -intercept to Linear Equations UNDERSTAND The slope of a line is the ratio of the line s vertical change, called the rise, to its horizontal change, called the run. You can find
More informationBRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet
BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH 05 Review Sheet Go to http://www.cun.edu/testing for more information on the CUNY Elementar Algebra
More informationReview for the Final Exam MAT 0024 College Prep Algebra Class
Review for the Final Eam Name MAT 00 College Prep Algebra Class Chapter 1 1) Simplify: 6 ( ) + ( ) 1 1 11 ) Simplify: 8 + ( ) ) Simplify: 7 + ( 1) 16 17 10 ) Simplify: () + 1 ) Simplify: + + ( ) ( ) 1
More informationMath 0200 Final Exam Review Questions
Math 000 Final Eam Review Questions 1. Simplif: 4 8i + 8 ( 7). Simplif: 11 ( 9) + 6(10 4) + 4. Simplif ( 5 + 7) ( ) 8 6 4. Simplif: (4 ) 9 i 5. Simplif: 4 7 6. Evaluate 4 + 5 when = and = Write each of
More informationSOLUTIONS 1 (27) 2 (18) 3 (18) 4 (15) 5 (22) TOTAL (100) PROBLEM NUMBER SCORE MIDTERM 2. Form A. Recitation Instructor : Recitation Time :
Math 5 March 8, 206 Form A Page of 8 Name : OSU Name.# : Lecturer:: Recitation Instructor : SOLUTIONS Recitation Time : SHOW ALL WORK in problems, 2, and 3. Incorrect answers with work shown may receive
More informationAlgebra I. Administered May 2013 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationName Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More informationExercise Set 4.3: Unit Circle Trigonometry
Eercise Set.: Unit Circle Trigonometr Sketch each of the following angles in standard position. (Do not use a protractor; just draw a quick sketch of each angle. Sketch each of the following angles in
More informationUBC-SFU-UVic-UNBC Calculus Exam Solutions 7 June 2007
This eamination has 15 pages including this cover. UBC-SFU-UVic-UNBC Calculus Eam Solutions 7 June 007 Name: School: Signature: Candidate Number: Rules and Instructions 1. Show all your work! Full marks
More informationMath 0240 Final Exam Review Questions 11 ( 9) 6(10 4)
Math 040 Final Eam Review Questions 11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 6. Evaluate 4 7 3 3 4 5 when and 3 Write each of
More informationx n+1 = ( x n + ) converges, then it converges to α. [2]
1 A Level - Mathematics P 3 ITERATION ( With references and answers) [ Numerical Solution of Equation] Q1. The equation x 3 - x 2 6 = 0 has one real root, denoted by α. i) Find by calculation the pair
More information* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!
AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer
More informationAP Calculus (AB/BC) Prerequisite Packet Paint Branch High School Math Department
Updated 6/015 The problems in this packet are designed to help ou review topics from previous math courses that are important to our success in AP Calculus AB / BC. It is important that ou take time during
More informationREVIEW, pages
REVIEW, pages 5 5.. Determine the value of each trigonometric ratio. Use eact values where possible; otherwise write the value to the nearest thousandth. a) tan (5 ) b) cos c) sec ( ) cos º cos ( ) cos
More informationNorth Carolina Community College System Diagnostic and Placement Test Sample Questions
North Carolina Communit College Sstem Diagnostic and Placement Test Sample Questions 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College
More information{ } and let N = 1, 0, 1, 2, 3
LUZERNE COUNTY MATHEMATICS CONTEST Luzerne County Council of Teachers of Mathematics Wilkes University - 2014 Junior Eamination (Section II) NAME: SCHOOL: Address: City/ZIP: Telephone: Directions: For
More information9-1. The Function with Equation y = ax 2. Vocabulary. Graphing y = x 2. Lesson
Chapter 9 Lesson 9-1 The Function with Equation = a BIG IDEA The graph of an quadratic function with equation = a, with a 0, is a parabola with verte at the origin. Vocabular parabola refl ection-smmetric
More informationPrecalculus Lesson 6.1: Angles and Their Measure Lesson 6.2: A Unit Circle Approach Part 2
Precalculus Lesson 6.1: Angles and Their Measure Lesson 6.2: A Unit Circle Approach Part 2 Lesson 6.2 Before we look at the unit circle with respect to the trigonometric functions, we need to get some
More informationCALCULUS AB/BC SUMMER REVIEW PACKET (Answers)
Name CALCULUS AB/BC SUMMER REVIEW PACKET (Answers) I. Simplify. Identify the zeros, vertical asymptotes, horizontal asymptotes, holes and sketch each rational function. Show the work that leads to your
More informationNATIONAL QUALIFICATIONS
Mathematics Higher Prelim Eamination 04/05 Paper Assessing Units & + Vectors NATIONAL QUALIFICATIONS Time allowed - hour 0 minutes Read carefully Calculators may NOT be used in this paper. Section A -
More informationAP CALCULUS Summer Assignment 2014
Name AP CALCULUS Summer Assignment 014 Welcome to AP Calculus. In order to complete the curriculum before the AP Exam in May, it is necessary to do some preparatory work this summer. The following assignment
More information2.1 The Rectangular Coordinate System
. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table
More information2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3
. Find an equation for the line that contains the points (, -) and (6, 9).. Find the value of y for which the line through A and B has the given slope m: A(-, ), B(4, y), m.. Find an equation for the line
More informationMathematics. Knox Grammar School 2012 Year 11 Yearly Examination. Student Number. Teacher s Name. General Instructions.
Teacher s Name Student Number Kno Grammar School 0 Year Yearly Eamination Mathematics General Instructions Reading Time 5 minutes Working Time 3 hours Write using black or blue pen Board approved calculators
More informationCHAPTER 3 Applications of Differentiation
CHAPTER Applications of Differentiation Section. Etrema on an Interval.............. Section. Rolle s Theorem and the Mean Value Theorem. 7 Section. Increasing and Decreasing Functions and the First Derivative
More informationAP Calculus I and Calculus I Summer 2013 Summer Assignment Review Packet ARE YOU READY FOR CALCULUS?
Name: AP Calculus I and Calculus I Summer 0 Summer Assignment Review Packet ARE YOU READY FOR CALCULUS? Calculus is a VERY RIGOROUS course and completing this packet with your best effort will help you
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 informationApplications Functions With a Single Critical Number
Applications 31 Functions With a Single Critical Number Using the CIT we have been able to find the absolute etrema of the continuous functions on a closed interval Using the First Derivative Test, we
More informationSpecial Maths Exam Paper 2 November 2013 Solutions
Special Maths Eam Paper 2 November 2013 Solutions Question One 1.1 sin θ = 4/5 > 0, 270 o < θ 360 o. If 4 and 5 are the lengths of sides of a right-angled triangle, with 5 the hpotenuse, then the third
More information10.4 Nonlinear Inequalities and Systems of Inequalities. OBJECTIVES 1 Graph a Nonlinear Inequality. 2 Graph a System of Nonlinear Inequalities.
Section 0. Nonlinear Inequalities and Sstems of Inequalities 6 CONCEPT EXTENSIONS For the eercises below, see the Concept Check in this section.. Without graphing, how can ou tell that the graph of + =
More informationMath 141: Trigonometry Practice Final Exam: Fall 2012
Name: Math 141: Trigonometry Practice Final Eam: Fall 01 Instructions: Show all work. Answers without work will NOT receive full credit. Clearly indicate your final answers. The maimum possible score is
More information1 The Derivative and Differrentiability
1 The Derivative and Differrentiability 1.1 Derivatives and rate of change Exercise 1 Find the equation of the tangent line to f (x) = x 2 at the point (1, 1). Exercise 2 Suppose that a ball is dropped
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 informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE III. Friday, January 25, :15 a.m. to 12:15 p.m.
The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Frida, Januar 5, 00 9:5 a.m. to :5 p.m., onl Notice... Scientific calculators
More information( ) ( ) ( ) ( ) MATHEMATICS Precalculus Martin Huard Fall 2007 Semester Review. 1. Simplify each expression. 4a b c. x y. 18x. x 2x.
MATHEMATICS 0-009-0 Precalculus Martin Huard Fall 007. Simplif each epression. a) 8 8 g) ( ) ( j) m) a b c a b 8 8 8 n f) t t ) h) + + + + k) + + + n) + + + + + ( ) i) + n 8 + 9 z + l) 8 o) ( + ) ( + )
More informationAP CALCULUS BC SUMMER ASSIGNMENT
AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This
More informationMATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)
MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the
More informationPractice Final A. Miller Spring 89 Math Find the limits: a. lim x 1. c. lim x 0 (1 + x) 1/x. f. lim x 0
Practice Final A. Miller Spring 89 Math 221 1. Find the limits: a. lim 1 ln() 1 b. lim 0 ln (3+ )2 9) c. lim 0 (1 + ) 1/ d. lim 2 +1 e e. lim 0 (sec()) 1 2 sec() 1 g. lim 0. 2. Find the integrals: a. ln(
More informationCALCULUS BASIC SUMMER REVIEW
NAME CALCULUS BASIC SUMMER REVIEW Slope of a non vertical line: rise y y y m run Point Slope Equation: y y m( ) The slope is m and a point on your line is, ). ( y Slope-Intercept Equation: y m b slope=
More informationUnit 3 Applications of Differentiation Lesson 4: The First Derivative Lesson 5: Concavity and The Second Derivative
Warmup 1) The lengths of the sides of a square are decreasing at a constant rate of 4 ft./min. In terms of the perimeter, P, what is the rate of change of the area of the square in square feet per minute?
More informationMATH MATH.
A = πr 2 A = πr 2 www.bloggymomma.com www.bloggymomma.com Liquid Equivalents 8 fluid ounces (fl.oz.) = 1 cup (c.) 2 cups (c.) = 1 pint (pt.) 2 pints (pt.) = 1 quart (qt.) 4 quarts (qt.) = 1 gallon (gal.)
More informationCalculus I Sample Exam #01
Calculus I Sample Exam #01 1. Sketch the graph of the function and define the domain and range. 1 a) f( x) 3 b) g( x) x 1 x c) hx ( ) x x 1 5x6 d) jx ( ) x x x 3 6 . Evaluate the following. a) 5 sin 6
More information( 3 ) = (r) cos (390 ) =
MATH 7A Test 4 SAMPLE This test is in two parts. On part one, you may not use a calculator; on part two, a (non-graphing) calculator is necessary. When you complete part one, you turn it in and get part
More informationPart 1: Integration problems from exams
. Find each of the following. ( (a) 4t 4 t + t + (a ) (b ) Part : Integration problems from 4-5 eams ) ( sec tan sin + + e e ). (a) Let f() = e. On the graph of f pictured below, draw the approimating
More informationFinal Exam Review Problems
Final Exam Review Problems Name: Date: June 23, 2013 P 1.4. 33. Determine whether the line x = 4 represens y as a function of x. P 1.5. 37. Graph f(x) = 3x 1 x 6. Find the x and y-intercepts and asymptotes
More informationMath 0240 Final Exam Review Questions 11 ( 9) 6(10 4)
11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 4 7 3 6. Evaluate 3 4 5 when and 3 Write each of the values below in decimal or standard
More informationHSML Honors or AP Calculus Course Preparedness Test
HSML Honors or AP Calculus Course Preparedness Test High School Math Live wants parents to be well informed. We want our student to be placed in the appropriate course so that the will be successful and
More informationMath 170 Calculus I Final Exam Review Solutions
Math 70 Calculus I Final Eam Review Solutions. Find the following its: (a (b (c (d 3 = + = 6 + 5 = 3 + 0 3 4 = sin( (e 0 cos( = (f 0 ln(sin( ln(tan( = ln( (g (h 0 + cot( ln( = sin(π/ = π. Find any values
More informationWelcome to AP Calculus!
Welcome to AP Calculus! This packet is meant to help you review some of the mathematics that lead up to calculus. Of course, all mathematics up until this point has simply been a build-up to calculus,
More informationPart A. BASIC INFORMATION: (Please print) 1. Name: 2. Please mark all courses you have taken in high school or college :
THE PLACEMENT TEST FOR PRECALCULUS/CALCULUS I - Fall, 1 Please read the following carefully: Your score on this test (in Part B), your math SAT or ACT score, and the information you are asked to provide
More informationThe formulas below will be provided in the examination booklet. Compound Interest: r n. Continuously: n times per year: 1
HONORS ALGEBRA B Semester Eam Review The semester B eamination for Honors Algebra will consist of two parts. Part will be selected response on which a calculator will not be allowe Part will be short answer
More informationApplications. 60 Say It With Symbols. g = 25 -
Applications 1. A pump is used to empt a swimming pool. The equation w =-275t + 1,925 represents the gallons of water w that remain in the pool t hours after pumping starts. a. How man gallons of water
More informationReview 3. Determine the dimensions, in feet, of his new garden. Show your work. Only an algebraic solution will be accepted.
Name: Ms. Logan Review Class: Date: 1. David currentl has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is feet shorter than twice its width. He decides
More informationThe semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer. n times per year: 1
ALGEBRA B Semester Eam Review The semester B eamination for Algebra will consist of two parts. Part 1 will be selected response. Part will be short answer. Students ma use a calculator. If a calculator
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 informationMATH 100 REVIEW PACKAGE
SCHOOL OF UNIVERSITY ARTS AND SCIENCES MATH 00 REVIEW PACKAGE Gearing up for calculus and preparing for the Assessment Test that everybody writes on at. You are strongly encouraged not to use a calculator
More information2. Use your graphing calculator to graph each of the functions below over the interval 2, 2
MSLC Math 0 Final Eam Review Disclaimer: This should NOT be used as your only guide for what to study. if 0. Use the piece-wise defined function f( ) to answer the following: if a. Compute f(0), f(), f(-),
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of a function is given. Choose the answer that represents the graph of its derivative.
More informationMATH 103 Sample Final Exam Review
MATH 0 Sample Final Eam Review This review is a collection of sample questions used b instructors of this course at Missouri State Universit. It contains a sampling of problems representing the material
More information1969 AP Calculus BC: Section I
969 AP Calculus BC: Section I 9 Minutes No Calculator Note: In this eamination, ln denotes the natural logarithm of (that is, logarithm to the base e).. t The asymptotes of the graph of the parametric
More information10.3 Solving Nonlinear Systems of Equations
60 CHAPTER 0 Conic Sections Identif whether each equation, when graphed, will be a parabola, circle, ellipse, or hperbola. Then graph each equation.. - 7 + - =. = +. = + + 6. + 9 =. 9-9 = 6. 6 - = 7. 6
More informationIntegration Techniques for the AB exam
For the AB eam, students need to: determine antiderivatives of the basic functions calculate antiderivatives of functions using u-substitution use algebraic manipulation to rewrite the integrand prior
More informationReview Sheet for Exam 1 SOLUTIONS
Math b Review Sheet for Eam SOLUTIONS The first Math b midterm will be Tuesday, February 8th, 7 9 p.m. Location: Schwartz Auditorium Room ) The eam will cover: Section 3.6: Inverse Trig Appendi F: Sigma
More informationREQUIRED MATHEMATICAL SKILLS FOR ENTERING CADETS
REQUIRED MATHEMATICAL SKILLS FOR ENTERING CADETS The Department of Applied Mathematics administers a Math Placement test to assess fundamental skills in mathematics that are necessary to begin the study
More informationWarmup for AP Calculus BC
Nichols School Mathematics Department Summer Work Packet Warmup for AP Calculus BC Who should complete this packet? Students who have completed Advanced Functions or and will be taking AP Calculus BC in
More informationWithout fully opening the exam, check that you have pages 1 through 10.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages 1 through 10. Show all your work on the standard
More information