AP Calculus AB Summer Assignment
|
|
- Giles McDonald
- 5 years ago
- Views:
Transcription
1 AP Calculus AB Summer Assignment As Advanced placement students, our irst assignment or the school ear is to come to class the ver irst da in top mathematical orm. Calculus is a world o change. While words like it, continuit, derivative and integral ma seem oreign and daunting to ou, I assure ou that at this time net ear at this time the will seem as commonplace to ou as graduation and senioritis! In order to begin our journe, ou must do some mathercise to keep our mind in shape through the summer months. So, I have prepared our assignments to help ou burn our mathematical muscles! Make sure all o our work is presented in a logical order showing ALL o our work indicating our answers clearl. IF I CAN T READ YOUR HANDWRITING, IT IS WRONG!! This packet is due the periodicall throughout the summer. Below is a list o due dates. It will be graded. You need to get o to a good start so spend some qualit time on this packet this summer. Do not rel on the calculator; use the calculator onl on the problems where calculator use is indicated. Hal o the AP eam net ear is taken without a calculator. All assignments need to be to me b the indicated date. You can drop it o at the main oice or mail it to me at m home; I MUST have an original. Summer Assignment Part : Due b noon Jul th Summer Assignment Part : Due b noon Jul 9 th Summer Assignment Part : Due b noon Jul th Summer Assignment Part : Due b noon August 9 th Summer Assignment Part : Due the irst Da o Class There will be a quiz on the unit circle on the irst da o school, be prepared! I ou have an questions about an o these problems or techniques used in solving them, ou ma contact me at the school website/ address: bquick@barnegatschools.com Have a great summer!
2 Below are listed topics in the review. You can certainl do Google searches or an o these topics. But we have given ou several sites that will cover prett much all o these topics. Here is a good site or most algebra topics: Beginning algebra topics Eponents Negative and ractional eponents Intermediate algebra topics Domain Solving inequalities: absolute value Solving inequalities: quadratic Special Factoring ormulas Function transormation Factor theorem (p over q method) Even and odd unctions Solving quadratic equations and quadratic ormula Advanced algebra topics Asmptotes Comple ractions Composition o unctions Solving Rational (ractional) equations Trig Inormation Once in the site, go to lecture notes. Basic right angle trig Trig equations Limits This packet is a review o some Pre-calculus topics and some Calculus topics. It is to be done NEATLY and on a SEPARATE sheet o paper. Use our discretion as to whether ou should use a calculator or not. When in doubt, think about i I would use one that should guide ou! Points will be awarded onl i the correct work is shown, and that work leads to the correct answer. Have a great summer and I am looking orward to seeing ou in September.
3 Summer Assignment Part : Due Jul, 07 Name: Cell: . Solve each equation or. Give eact answers onl. a. b c. 7 0 d. e. 0. ln e g. 8 0 h. sin 0 and 0 i. ln ln ln j. cos sin and 0 k. e l. ln ln e. Equation o a line Find an equation o a line passing through (, ) and having the ollowing characteristics. a. Slope o. b. Perpendicular to the line 0. c. Passing through the point (, ). d. Parallel to the -ais.. Zeros o Polnomial Functions a. Given the act that one root o the polnomial unction ( ) the other zeros o the unction. is, ind b. I is a actor o g ( ) 9 other two actors., ind the c. Find all the zeros o ( ) using the actor theorem. d. Find all the zeros o h( ) 8 9 using the actor theorem.
4 . Tangent Lines Consider the circle 0. a. Find the center and the radius o the circle (write the equation o the circle in standard b. Find an equation o the tangent line to the circle at the point (0, 0). orm ( h k r center and the radius is r), where (h, k) is the c. Find an equation o the tangent line to the circle at the point (, 0). d. Find the coordinates o the point where the two tangent lines intersect.. Intercepts and Points o Intersection Find the and intercepts or each. a. b. c. d.
5 . Solve the Sstem o Equations a. 7 g b. g c. g d. e g h. 7. Inverses Find the inverse o each unction a. ) ( b. c. 7 ) ( d. 7 ) ( e. ) ( 8. Simpli the Rational Epression a. b. c.
6 9. Comple Fractions Eample: Simpli each o the ollowing a. b. c. d. a a a e..
7 Summer Assignment Part : Due Jul 9, 07 Name: Cell: . Functions: Answer the ollowing questions about each unction.
8 Transormations o Functions. The unction H () is deined: H, 0, 0 a. b. c. H d. H H H. The unction g() is deined: g, 0, 0 a. g b. g c. g d. g
9 Operations with Functions ind. Given ( ). Given ind. Find or 7. Find or 8 8. Let ( ) and g ( ). Find each o the ollowing. a. () b. g() c. ( t ) d. g d. g m e. h h 9. Let ( ) and g( ) and h ( ). Find each o the ollowing. a. h b. g c. g h h 0. Find or the given unction. h a. ( ) 9 b. ( ) c.. For ( ) and g( ), ind the ollowing: a. g b. g c. g d. g * e.. g h g. g h g h. g h g( ) h
10 Piecewise Functions. Graph the unction. Then ind the indicated values., 0 ( ), 0 a. b. 0 c. d. 0. Graph the unction. Then ind the indicated values., ( ) ln, a. b. c. 0 d.
11 Open Ended Let be a unction deined on the closed interval [0, 7]. The graph o, consisting o our line segments, is shown above.. Write the piecewise unction or ().. Find the values o or which () =. 7. For what interval(s) o does have a rate o change o? Eplain our answer. 8. On which interval o is the rate o change o the greatest? Justi our answer. The unction g is a transormation o the above unction. Write an equation or g in terms o. 9. The maimum value o g is located at the point (,). 0. The maimum value o g is located at the point (,).. The minimum value o g is located at the point (, -).. The range o g is [0,].
12 Summer Assignment Part : Due Jul, 07 Name: Cell: . Without a calculator, determine the eact value o each epression. Please note: You MUST be asble to do this in our sleep b the time ou get back to school WITHOUT A CALCULATOR!! This is one o the single most important sills necessar or ou to be successul in AP Calculus! a. sin 0 b. 7 cos c. tan d. cossin e. sin. cos g. tan h. 7 sin sin i. sin j. 7 tan k. tan l. sin m. cos n. cos o. tan. I sin and, ind the values o the other ive trigonometric unctions.. Evaluate each o the ollowing. a. 7 b. coscsc tansin c. d. cos cot tan. I. I csc and is in the second quadrant, ind the remaining trigonometric ratios. cot and is in the third quadrant, ind the remaining trigonometric ratios.
13 Unit Circle Trigonometr. You will be epected to know the values o all trigonometric unctions at radian measures 0,,,,, and, and all radian measures that are multiples o these -- and ou must know these cold, without a calculator. These can best be done b reerencing the unit circle, a circle o radius centered at the origin. Ever point on that circle can be interpreted as (cos,sin ), where is the angle (, ) ormed with the positive -ais. It s onl necessar to memorize the important irst-quadrant points -- the rest can be reckoned b relecting appropriatel. (See diagram below.) The remaining trigonometric unctions can be computed rom sines and cosines. You will have a quiz on these values on the irst da o class, and our score on that quiz will either be 00% or 0.
14 Summer Assignment Part : Due August 9, 07 Name: Cell: Evaluate each it using the graph below.. Evaluate the Limit a. c. b. d e g. h. 7 i. j
15 . Use the graph below to answer the ollowing questions. a. b. c. For what value o a is a noneistent? k. Consider the unction ( ), sin In order or the unction to be continuous at =, the value o k must be sin 0. Consider the unction ( ), k 0 In order or the unction to be continuous at = 0, the value o k must be
16 Summer Assignment Part : Due First Da o Class Name: Cell: Use the inormation given about the region R to answer questions -. The region R is the area bounded b the graphs o 0. Sketch the region R. Find the area o R. I the region r is revolved about the -ais, what is the volume? (perhaps the ormula or volume o a cone will help!). Graph a. Eplain wh this graph is a linear unction instead o a rational unction having a vertical asmptote at. b. I ou had to ill in a -value when =, what would it be?. The graph below shows the time versus distance plot or two runners (Runner A and Runner B). a. Which runner had a head start? How ar did runner A go b the end o the race? b. Which runner ran astest? How much aster? c. How much longer did it take or the loser to cross the inish line? d. How ar did the winner win b?
17 . The table below shows the growth o a certain pupp. Use a linear regression equation or the data to estimate the weight o the pupp at age 8 weeks to the nearest pound. Age (weeks) Weight (pounds) A utilit compan serves two dierent cities. Let P be the requirements in megawatts (m) or cit and let P be the requirement or cit. Both P and P are unctions o t, the hours elapsed since midnight. Suppose and P P are given b the ollowing ormulas: P 0 cos t and P 0 0sin t a. Describe the power requirements o each cit in words. b. What is the maimum total power the utilit compan must be prepared to provide. 8. A 00 Leus costs $,0 and the car depreciates a total o % during its irst 7 ears. a. Suppose the depreciation is eponential. Find a ormula or the value the car at time t. b. Suppose instead that the depreciation is linear. Find a ormula or the value the car at time t. c. I this were our car and ou were trading it in ater ears, which depreciation model would ou preer (eponential or linear) 9. Water is lowing at a rate o m /s into the conical tank shown at the right. Find the volume V o the water as a unction o the water level h.
18 0. A light m above the ground causes a bo.8 m tall to cast a shadow s meters long measured along the ground, as shown. Epress s as a unction o d, the bo s distance in meters rom the light.
Welcome 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 informationAP Calculus AB Summer Assignment Mrs. Berkson
AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the
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 informationAP Calculus AB Summer Assignment Mrs. Berkson
AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the
More informationAP Calc Summer Packet #1 Non-Calculator
This packet is a review of the prerequisite concepts for AP Calculus. It is to be done NEATLY and on a SEPARATE sheet of paper. All problems are to be done WITHOUT a graphing calculator. Points will be
More informationWest Essex Regional School District. AP Calculus AB. Summer Packet
West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral
More informationA.P. Calculus Summer Packet
A.P. Calculus Summer Packet Going into AP calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills, you will find
More informationA.P. Calculus Summer Packet
A.P. Calculus Summer Packet Going into AP calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills, you will find
More informationAP CALCULUS. Summer Assignment. Name:
AP CALCULUS Summer Assignment Name: 08/09 North Point High School AP Calculus AB Summer Assignment 08 Congratulations on making it to AP Calculus! In order to complete the curriculum before the AP Eam
More informationAP Calculus AB Summer Assignment
Name: AP Calculus AB Summer Assignment Due Date: The beginning of class on the last class day of the first week of school. The purpose of this assignment is to have you practice the mathematical skills
More informationName Date. Show all work! Exact answers only unless the problem asks for an approximation.
Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationAdvanced Calculus BC Summer Work Due: 1 st Day of School
Dear Calculus BC student, I hope that ou re all enjoing our first few das of summer! Here s something that will make it a little more fun! Enclosed ou will find a packet of review questions that ou should
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 informationAP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student
AP Calculus AB SUMMER ASSIGNMENT Dear future Calculus AB student We are ecited to work with you net year in Calculus AB. In order to help you be prepared for this class, please complete the summer assignment.
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationAP Calculus I Summer Packet
AP Calculus I Summer Packet This will be your first grade of AP Calculus and due on the first day of class. Please turn in ALL of your work and the attached completed answer sheet. I. Intercepts The -intercept
More informationIB Mathematics HL 1/AP Calculus AB Summer Packet
IB Mathematics HL /AP Calculus AB Summer Packet There are certain skills that have been taught to you over the previous years that are essential towards your success in IB HL /AP Calculus. If you do not
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS BC I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You will also
More informationRising HONORS Algebra 2 TRIG student Summer Packet for 2016 (school year )
Rising HONORS Algebra TRIG student Summer Packet for 016 (school ear 016-17) Welcome to Algebra TRIG! To be successful in Algebra Trig, ou must be proficient at solving and simplifing each tpe of problem
More informationTroy High School AP Calculus Summer Packet
Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by
More informationSummer Review Packet for Students Entering AP Calculus BC. Complex Fractions
Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common
More informationCalculus w/applications Prerequisite Packet Paint Branch High School Math Department
Updated 6/014 The problems in this packet are designed to help you review topics from previous math courses that are important to your success in Calculus with Applications. It is important that you take
More informationSummer Packet Honors PreCalculus
Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering
More informationA.P. Calculus Summer Assignment
A.P. Calculus Summer Assignment This assignment is due the first day of class at the beginning of the class. It will be graded and counts as your first test grade. This packet contains eight sections and
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS AB I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You should
More informationSummer Review Packet AP Calculus
Summer Review Packet AP Calculus ************************************************************************ Directions for this packet: On a separate sheet of paper, show your work for each problem in this
More informationAP Calculus AB Summer Assignment
AP Calculus AB 07-08 Summer Assignment Welcome to AP Calculus AB! You are epected to complete the attached homework assignment during the summer. This is because of class time constraints and the amount
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 informationAP Calculus BC Summer Review
AP Calculus BC 07-08 Summer Review Due September, 07 Name: All students entering AP Calculus BC are epected to be proficient in Pre-Calculus skills. To enhance your chances for success in this class, it
More informationAP CALCULUS AB SUMMER ASSIGNMENT
AP CALCULUS AB SUMMER ASSIGNMENT 06-07 Attached is your summer assignment for AP Calculus (AB). It will probably take you - hours to complete depending on how well you know your material. I would not do
More informationFox Lane High School Department of Mathematics
Fo Lane High School Department of Mathematics June 08 Hello Future AP Calculus AB Student! This is the summer assignment for all students taking AP Calculus AB net school year. It contains a set of problems
More informationThis is only a list of questions use a separate sheet to work out the problems. 1. (1.2 and 1.4) Use the given graph to answer each question.
Mth Calculus Practice Eam Questions NOTE: These questions should not be taken as a complete list o possible problems. The are merel intended to be eamples o the diicult level o the regular eam questions.
More informationJune Stone Bridge Math Department. Dear Advanced Placement Calculus BC Student,
Stone Bridge Math Department June 06 Dear Advanced Placement Calculus BC Student, Congratulations on your wisdom in taking the BC course. I know you will find it rewarding and a great way to spend your
More informationAvon High School Name AP Calculus AB Summer Review Packet Score Period
Avon High School Name AP Calculus AB Summer Review Packet Score Period f 4, find:.) If a.) f 4 f 4 b.) Topic A: Functions f c.) f h f h 4 V r r a.) V 4.) If, find: b.) V r V r c.) V r V r.) If f and g
More informationAP Calculus AB Summer Assignment School Year
AP Calculus AB Summer Assignment School Year 018-019 Objective of the summer assignment: The AP Calculus summer assignment is designed to serve as a review for many of the prerequisite math skills required
More informationUnit 10 Prerequisites for Next Year (Calculus)
Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after
More informationSummer Assignment for AP Calculus AB
This assignment is a review of Pre-calculus and Algebraic concepts that you need to be familiar with in order to make a smooth transition into AP Calculus AB. It will be due when you return to school on
More informationAP Calculus (BC) Summer Assignment (104 points)
AP Calculus (BC) Summer Assignment (0 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 informationAttn: Upcoming Functions Analytic Geometry students,
Attn: Upcoming Functions Analtic Geometr students, All Functions Analtic Geometr students should complete this assignment prior to the first da of class. During the first week of school, time will be spent
More informationA.P. Calculus Summer Work 2014
Instructions for AP Calculus AB summer work. Before leaving school this year (due Friday, May 30, 014): A.P. Calculus Summer Work 014 1. Log onto your school email account and send me an email message
More informationMcKinney High School AP Calculus Summer Packet
McKinne High School AP Calculus Summer Packet (for students entering AP Calculus AB or AP Calculus BC) Name:. This packet is to be handed in to our Calculus teacher the first week of school.. ALL work
More informationAP CALCULUS AB,...) of Topical Understandings ~
Name: Precalculus Teacher: AP CALCULUS AB ~ (Σer) ( Force Distance) and ( L, L,...) of Topical Understandings ~ As instructors of AP Calculus, we have etremely high epectations of students taking our courses.
More informationP-CEP. Mathematics. From: P-CEP Mathematics Department To: Future AP Calculus AB students Re: AP Calculus AB Summer Packet
P-CEP Mathematics From: P-CEP Mathematics Department To: Future AP Calculus AB students Re: AP Calculus AB Summer Packet Dear future AP Calculus AB student: There are certain math skills that have been
More informationPreCalculus. Ocean Township High School Mathematics Department
PreCalculus Summer Assignment Name Period Date Ocean Township High School Mathematics Department These are important topics from previous courses that ou must be comfortable doing before ou can be successful
More informationCalculus Summer TUTORIAL
Calculus Summer TUTORIAL The purpose of this tutorial is to have you practice the mathematical skills necessary to be successful in Calculus. All of the skills covered in this tutorial are from Pre-Calculus,
More informationAP Calculus Summer is Long Enough Worksheet
AP Calculus Summer is Long Enough Worksheet There are certain skills that have been taught to you over the previous years that are essential towards your success in AP Calculus. If you do not have these
More informationObjectives. By the time the student is finished with this section of the workbook, he/she should be able
FUNCTIONS Quadratic Functions......8 Absolute Value Functions.....48 Translations o Functions..57 Radical Functions...61 Eponential Functions...7 Logarithmic Functions......8 Cubic Functions......91 Piece-Wise
More informationMonroe Township High School Mathematics Department
To: AP Calculus AB Re: Summer Project 017 Date: June 017 Monroe Township High School Mathematics Department To help begin your study of Calculus, you will be required to complete a review project this
More informationWheeler High School. The packets are due to your instructor on your first day of class.
Wheeler High School To: Honors Calculus and AP Calculus AB Students From: Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Re: Summer work Honors Calculus and AP Calculus AB
More informationAP Calculus AB Summer Assignment
AP Calculus AB Summer Assignment Name: When you come back to school, you will be epected to have attempted every problem. These skills are all different tools that you will pull out of your toolbo this
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 informationP-CEP. Mathematics. From: P-CEP Mathematics Department To: Future AP Calculus BC students Re: AP Calculus BC Summer Packet
P-CEP Mathematics From: P-CEP Mathematics Department To: Future AP Calculus BC students Re: AP Calculus BC Summer Packet Dear future AP Calculus BC student: There are certain math skills that have been
More informationAP Calculus AB Summer Assignment 2018
AP Calculus AB Summer Assignment 018 Name: Date Submitted: Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers, but the benefit you will receive by having this eperience
More informationAlgebra/Pre-calc Review
Algebra/Pre-calc Review The following pages contain various algebra and pre-calculus topics that are used in the stud of calculus. These pages were designed so that students can refresh their knowledge
More informationAP CALCULUS AB - Name: Summer Work requirement due on the first day of class
AP CALCULUS AB - Name: Summer Work For students to successfully complete the objectives of the AP Calculus curriculum, the student must demonstrate a high level of independence, capability, dedication,
More informationWheeler High School AP Calculus AB first day of school, August 7, Honors Calculus
Wheeler High School To: From: Re: Honors Calculus and AP Calculus AB Students Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Summer work AP Calculus AB and Honors Calculus
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 information3.2 LOGARITHMIC FUNCTIONS AND THEIR GRAPHS
Section. Logarithmic Functions and Their Graphs 7. LOGARITHMIC FUNCTIONS AND THEIR GRAPHS Ariel Skelle/Corbis What ou should learn Recognize and evaluate logarithmic functions with base a. Graph logarithmic
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 informationHonors Calculus Summer Preparation 2018
Honors Calculus Summer Preparation 08 Name: ARCHBISHOP CURLEY HIGH SCHOOL Honors Calculus Summer Preparation 08 Honors Calculus Summer Work and List of Topical Understandings In order to be a successful
More informationName: Top Ten Things You ve Learned #10: Graphing Lines, Parabolas, and other Functions I. No Calculator: Sketch a graph of each equation
Name: #: Graphing Lines, Parabolas, and other Functions I. No Calculator: Sketch a graph of each equation... - - - - - -.. 6. - - - - - - 7. 8. 9. - - - - - - ... a f - - - - - - II. Use a graphing calculator
More informationy x is symmetric with respect to which of the following?
AP Calculus Summer Assignment Name: Note: Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers for which f () is a real number. Part : Multiple Choice Solve
More informationR3.6 Solving Linear Inequalities. 3) Solve: 2(x 4) - 3 > 3x ) Solve: 3(x 2) > 7-4x. R8.7 Rational Exponents
Level D Review Packet - MMT This packet briefly reviews the topics covered on the Level D Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below,
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 informationARE YOU READY FOR CALCULUS?
ARE YOU READY FOR CALCULUS? Congratulations! You made it to Calculus AB! Instructions 1. Please complete the packet (see below), which will be due the day of registration. This packet will help you review
More informationDifferential Equaitons Equations
Welcome to Multivariable Calculus / Dierential Equaitons Equations The Attached Packet is or all students who are planning to take Multibariable Multivariable Calculus/ Dierential Equations in the all.
More informationName: Richard Montgomery High School Department of Mathematics. Summer Math Packet. for students entering. Algebra 2/Trig*
Name: Richard Montgomer High School Department of Mathematics Summer Math Packet for students entering Algebra 2/Trig* For the following courses: AAF, Honors Algebra 2, Algebra 2 (Please go the RM website
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 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 informationCalculus Summer Packet
Calculus Summer Packet Congratulations on reaching this level of mathematics in high school. I know some or all of you are bummed out about having to do a summer math packet; but keep this in mind: we
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 informationMassey Hill Classical High School
Massey Hill Classical High School AB Calculus AP Prerequisite Packet To: From: AP Calculus AB Students and Parents Carolyn Davis, AP Calculus Instructor The AP Course: AP Calculus AB is a college level
More informationAP Calculus BC Summer Assignment 2018
AP Calculus BC Summer Assignment 018 Name: When you come back to school, I will epect you to have attempted every problem. These skills are all different tools that we will pull out of our toolbo at different
More informationHonors Pre-Calculus Summer Work
Honors Pre-Calculus Summer Work Attached you will find a variety of review work based on the prerequisites needed for the Honors Pre-Calculus curriculum. The problems assigned should be the minimum you
More informationIncreasing and Decreasing Functions and the First Derivative Test. Increasing and Decreasing Functions. Video
SECTION and Decreasing Functions and the First Derivative Test 79 Section and Decreasing Functions and the First Derivative Test Determine intervals on which a unction is increasing or decreasing Appl
More informationAP Calculus AB Summer Review Packet
TO: All 2017/2018 AP Calculus AB Students AP Calculus AB Summer Review Packet FROM: AP Calculus AB Teacher Mr. Gierut (East) Room 301, Mr. Gonzalez (West) C214, Ms. Kane (East) Room 351, Mrs. O Neill (West)
More informationAP Calculus AB Summer Review Packet
AP Calculus AB Summer Review Packet 016-017 Mr. Le jtle1@gmail.com Leuzinger High School Rm. G-0 The following packet is designed to help you review topics that are important to your SUCCESS in AP Calculus.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Spring 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) {-
More informationMath 123 Summary of Important Algebra & Trigonometry Concepts Chapter 1 & Appendix D, Stewart, Calculus Early Transcendentals
Math Summar of Important Algebra & Trigonometr Concepts Chapter & Appendi D, Stewart, Calculus Earl Transcendentals Function a rule that assigns to each element in a set D eactl one element, called f (
More informationAP CALCULUS AB - SUMMER ASSIGNMENT 2018
Name AP CALCULUS AB - SUMMER ASSIGNMENT 08 This packet is designed to help you review and build upon some of the important mathematical concepts and skills that you have learned in your previous mathematics
More informationPreCalculus. American Heritage Upper School Summer Math Packet
! PreCalculus American Heritage Upper School Summer Math Packet All Upper School American Heritage math students are required to complete a summer math packet. This packet is intended for all students
More informationPreparation for Advanced Placement Calculus
Tappan Zee High School Mathematics Department June 07 Preparation for Advanced Placement Calculus Dear Advanced Placement Calculus Student, We hope that you have had a successful year! Before you leave
More informationAdvanced Precalculus Summer 2018 Assignment Due Date: Friday, August 17, 2018 Mrs. Bermudez:
Bayside Academy Advanced Precalculus Summer 08 Assignment page Advanced Precalculus Summer 08 Assignment Due Date: Friday, August 7, 08 Mrs. Bermudez: sbermudez@baysideacademy.org This summer packet for
More informationSyllabus Objective: 2.9 The student will sketch the graph of a polynomial, radical, or rational function.
Precalculus Notes: Unit Polynomial Functions Syllabus Objective:.9 The student will sketch the graph o a polynomial, radical, or rational unction. Polynomial Function: a unction that can be written in
More information( x) f = where P and Q are polynomials.
9.8 Graphing Rational Functions Lets begin with a deinition. Deinition: Rational Function A rational unction is a unction o the orm ( ) ( ) ( ) P where P and Q are polynomials. Q An eample o a simple rational
More informationMath-3 Lesson 1-4. Review: Cube, Cube Root, and Exponential Functions
Math- Lesson -4 Review: Cube, Cube Root, and Eponential Functions Quiz - Graph (no calculator):. y. y ( ) 4. y What is a power? vocabulary Power: An epression ormed by repeated Multiplication o the same
More informationAP Calculus AB Summer Assignment
AP Calculus AB Summer Assignment Name: When you come back to school, it is my epectation that you will have this packet completed. You will be way behind at the beginning of the year if you haven t attempted
More informationWest Potomac High School 6500 Quander Road Alexandria, VA 22307
West Potomac High School 6500 Quander Road Aleandria, VA 307 Dear AP Calculus BC Student, Welcome to AP Calculus! This course is primarily concerned with developing your understanding of the concepts of
More informationAP Calculus Summer Homework Worksheet Instructions
Honors AP Calculus BC Thrill-a-Minute Summer Opportunity 018 Name Favorite Pre-Calculus Topic Your summer assignment is to have the review packet (a review of Algebra / Trig. and Pre-Calculus), Chapter
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 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 informationNew Functions from Old Functions
.3 New Functions rom Old Functions In this section we start with the basic unctions we discussed in Section. and obtain new unctions b shiting, stretching, and relecting their graphs. We also show how
More informationReview of Essential Skills and Knowledge
Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope
More informationRolle s Theorem and the Mean Value Theorem. Rolle s Theorem
0_00qd //0 0:50 AM Page 7 7 CHAPTER Applications o Dierentiation Section ROLLE S THEOREM French mathematician Michel Rolle irst published the theorem that bears his name in 9 Beore this time, however,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Fall 011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) A)
More informationCHAPTER 1 FIGURE 22 increasing decreasing FIGURE 23
. EXERCISES. The graph o a unction is given. (a) State the value o. (b) Estimate the value o 2. (c) For what values o is 2? (d) Estimate the values o such that. (e) State the domain and range o. () On
More informationAP CALCULUS AB & BC ~ er Work and List of Topical Understandings~
AP CALCULUS AB & BC ~er Work and List of Topical Understandings~ As instructors of AP Calculus, we have etremely high epectations of students taking our courses. As stated in the district program planning
More informationCalculus Summer Packet
Calculus Summer Packet There are certain skills that have been taught to you over the previous years that are essential towards your success in Calculus. This summer packet is intended for you to retain/review/relearn
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 information