Section I: Multiple Choice Section I Answer Key and Percent Answering Correctly Analyzing Your Students’ Performance on the Multiple-Choice Section Diagnostic Guide for the 2008 AP Calculus AB and Calculus BC Exams Section II: Free Response Comments from the Chief Reader Commentary, Scoring Guidelines, and Sample Student …Calculus 2008 Multiple Choice 3 3 the AP Exam format which took place in the 2016-2017 school year. The author, Rita Korsunsky, is an award winning Calculus teacher whose students' scores on the AP Exam are: 100% passing and 94% fives. This book includes: * Five Multiple Choice2008 Ap Calculus Ab Multiple Choice Answers Student Solutions Manual to Accompany Multiple-Choice and Free-Response Questions in ... followed by full, clear explanations for all multiple-choice and free-response answers. AP Calculus AB 2021 and 2022 Joshua Rueda 2021-01-21 Test Prep Books' AP Calculus AB 20212008 Multiple Choice Ap Calculus Unveiling the Magic of Words: A Overview of "2008 Multiple Choice Ap Calculus" In a world defined by information and interconnectivity, the enchanting power of words has acquired unparalleled significance. Their power to kindle emotions, provoke contemplation, and ignite transformative change is truly awe-inspiring.How prepared are you for your AP Calculus AB Test/Exam? Find out how ready you are today! ... Multiple Choice Right: / 45 Multiple Choice Percent: 100% FRQ1 Score: ... (approx) AP Grade: 5 / 5 Find your score: 2017* 2016 2015 2012 2008 2003 * Estimate only View study guides (4) This calculator is based on the 2017* released exam with the latest ...AP Calculus AB Scoring Materials for Digital Exam Practice Please note: the digital exam practice resourcewas developed for studentsto complete technology checks, experiencethe digital platform, and practice answering exam questions, including each type of multiple- choice and free-response question they will encounteron exam day. BeCalculus 2008 Multiple Choice calculus-2008-multiple-choice 2 Downloaded from pivotid.uvu.edu on 2021-08-10 by guest All the terms and concepts you need to know to get your best score Your choice of three customized study schedules-so you can pick the one that meets your needs The 5-Step Plan helps you get the most out of your study time: Step 1:AP Calculus AB 2008 Multiple Choice Exam Solutions PART A - (No Calculator Allowed) - 1. 22 22 2 1 3 6 2 3 2 7 3 lim lim lim x x x1 3 2 3 2 3 xxx x x x x of of ofx x x x x x 2 2 2 2 2 2 2 2 2 2 2 7 3 7 3 2 lim lim 2 23 xx1 xx x x x x x xx x x x xx of of B 2. 1 21 2 1. 1 x dx x dx C x C x ³³ D 3.<p>The multiple choice was a breeze, and yeah, the FR were challenging, although I thought 2007's were harder. I'm so frustrated on #1 part-d, I figured it out with my left over time during the no-calculator section of the FR, but I couldn't plug it in to my calculator! Hopefully I get partial credit.</p>AP Calculus BC Practice Exam From the 2 016 Administration This exam ma y no t be posted on school or persona l websites , no r electronically redistribute d fo r an y reason . Thi s Released Exa m is provided by th e Colleg e Boar d for AP Exam preparation . Teacher s ar e permitted to download th e material s an d mak e copies to use wit h thei r …Varsity Tutors' AP Calculus AB and AP Calculus BC diagnostic tests. For free skill practice, try: Fiveable's streams and study guides. Khan Academy's AP Calculus AB and AP Calculus BC courses. If you want more AP-style multiple choice practice, consider buying a prep book. They usually sell for under $20 and have upwards of 3 full-length ...AP Calculus AB Exam. The AP Calculus AB exam is divided into two sections, each worth 50% of your final score. Section I is the multiple choice section which you have 105 minutes to complete. Section II is the free response section which you have 90 minutes to complete.Merely said, the Ap Calculus Ab Multiple Choice 2008 is universally compatible in imitation of any devices to read. AP Calculus Premium Createspace Independent Publishing Platform Barron's AP Calculus is aligned with the current exam curriculum and provides comprehensive review and practice exams for both AP Calculus AB and BC. This edition AP Calculus 2008 Multiple Choice. 3. If /(x)= (x-l)(x'z *2)' , then /'(x)= 6x(x'+z)'z. 6r(x-1)(x'+z)' (c) ('' +z)'(r' +3x-l) ()(l r\ +z)'(tx'-6x+2) (E) -3(x-r\(x'+z\' (x.t) 3C x'+z)'.2( + (53-z)]' t. Cx+rrt[a$dx +*'ktl. (xkd'( r*-6ntr') +. J(sin(2r)+cos(zx))ar= - i coSaF+. tey lsin(z x)+ c. |. @i*'(zx)+jsin. (zx)+c. (C) 2cos(2x)+ 2sin (2 x)+ C. May 1, 2014 · 2008 AP Calculus AB multiple choice. Ask Question Asked 10 years ago. Modified 10 years ago. Viewed 1k times 1 $\begingroup$ ... Calculus Problem with Integrals. 0. AP Calculus Questions Menu Toggle. Sample Multiple Choice AP Calculus Questions; AP Calc AB Free Response Questions; Video Collections Menu Toggle. Multiple Choice Calculator Required; Multiple Choice No Calculator; 2023 AP Calculus AB Free Response Video Solutions; 2022 AP Calculus AB Free Response Video Solutions; 2021 AP Calculus AB Free ...Mathematics document from Spring Lake Park Senior High, 29 pages, 2008 AP Multiple Choice Exam Name_ 2008 AP Calculus AB Multiple Choice Exam Section 1 No Calculator Active PDF Created with deskPDF PDF Writer - Trial : http:/www.docudesk.com AP Calculus 2008 Multiple Choice 2008 AP Calculus AB Multiple Choice Exam Sectabove. Which of the following statements must be true? Show Step-by-step Solutions AP Calculus AB Multiple Choice 2008 Question 15 15. ∫x/(x2 - 4) dx = Show Step-by-step Solutions AP Calculus AB Multiple Choice 2008 Question 16 16. If sin(xy) = x, then dy/dx = Show Step-by-step Solutions AP Calculus AB Multiple Choice 2008 Question 17 17.Advertisement Besides your college transcript, most medical schools require you to take the MCAT and supply your score with your application. The MCAT (Medical College Admission Te...AB Exam Rita Korsunsky 2021-09-26 Multiple Choice Questions to Prepare for the AP Calculus AB Exam (4th Edition) is your essential tool to scoring well on AP Calculus AB Exam. This book fits the College Board requirements for the 2022 AP Exam, and reflects all the recent changes in the AP Calculus AB curriculum and the AP Exam format.Calculus The derivative of an integral puts you back "hereyou started when one of the limits is a variable expression and the other is a constant with the changes that the variable becomes the variable expression and you multiply everything by the derivative of the limit Which is the variable expression (note: If the variableTitle: C:\homeschool\06 - Calculus\Practice Exam\AP Calculus Practice Exam and Solutions.wpd Author: Derek Created Date: 4/16/2015 8:30:44 PM 36. 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org. AP Exam Instructions. the calculator to remove exam questions and/or answers from the room may result in the cancellation of AP Exam scores. The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously. In this video I go over MCQ #24-25 from the Multiple Choice Non Calculator Section of the 2008 AP Calculus AB Exam. In this video I go over MCQ #10-14 from the Multiple Choice Non Calculator Section of the 2008 AP Calculus AB Exam. The AP® Calculus AB exam consists of two major sections: multiple choice questions (MCQs) and free response questions (FRQs). In this guide, we’ll focus on the first section - MCQs. First, we’ll break down the format of the AP Calculus AB multiple choice questions, then give you tips to maximize your points on the MCQs, and finally provide a few …Answers and solutions to 2008 Multiple Choice BC 1-8. Returnto Mr Calculus.Visit the College Board on the Web: www.collegeboard.com. AP Central is the official online home for the AP Program: apcentral.collegeboard.com. -i-. AP®Calculus BC Directions for Administration The AP Calculus BC Exam is 3 hours and 15 minutes in length and consists of a multiple-choice section and a free-response section.1988 - AP Calculus AB ( MIRROR ) 1998 - AP Calculus AB ( MIRROR ) Sample Questions: College Board AP Calculus AB/BC: ap-calc.github.io 300 Questions: ap-calc.github.io 130 Questions: ap-calc.github.io 1997 - AP Calculus AB - MOCK EXAM AP Calculus AB/BC MISC. SOURCES 01. AB/BC | 20 Sample Questions 02. AB/BC | 32 …AP® Calculus AB 2008 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,400 schools, colleges, universities, and other 1985 AP Calculus AB Exam, Section 1 38 1985 AP Calculus BC Exam, Section 1 47 1988 AP Calculus AB Exam, Section 1 57 1988 AP Calculus BC Exam, Section 1 67 1993 AP Calculus AB Exam, Section 1 78 1993 AP Calculus BC Exam, Section 1 89 1997 AP Calculus AB Exam, Section 1 100 Part A 100 Part B 108 1997 AP Calculus BC Exam, Section 1 113 Part A 113 Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politicsAP Calculus BC Practice Exam F rom the 2 014 Administration This Practic e Exa m is provided by the Colleg e Boar d fo r AP Exam preparation . Teacher s ar e permitted to download the material s an d mak e copies to use wit h thei r student s in a classroo m settin g onl y. T o maintai n th e securit y of this exam , teacher s shoul d collec t al l material s …In this video I go over MCQ #16-21 from the Multiple Choice Non Calculator Section of the 2017 AP Calculus AB Exam. In this video I go over MCQ #10-14 from the Multiple Choice Non Calculator Section of the 2008 AP Calculus AB Exam. AP® Calculus BC 2003 Free-Response Questions. The materials included in these files are intended for use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program®. Teachers may reproduce them, in whole or in part, in limited quantities for noncommercial, face-to-face ...2008 Ap Calculus Ab Multiple Choice Barron's AP Calculus with CD-ROM Shirley O. Hockett 2008-01-01 Both Calculus AB and Calculus BC are covered in this comprehensive AP test preparation manual. Prospective test takers will find four practice exams in Calculus AB and four more in Calculus BC, with all questions answered and explained.AP®Calculus BC Exam. SECTION I: Multiple-Choice Questions. DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. Instructions. Section I of this examination contains 45 multiple-choice questions. Fill in only the ovals for numbers 1 through 45 on your answer sheet. CALCULATORS MAY NOT BE USED IN THIS PART OF THE EXAMINATION.CALCULUS BC SECTION II, Part A. Time—45 minutes Number of problems—3. A graphing calculator is required for some problems or parts of problems. 1. Let R be the region bounded by the graphs of y sin p x. 3 and y x. 4 x , as shown in the figure above. Find the area of R. The horizontal line y 2 splits the region R into two parts.Selected values of f(x) are given in. 1. the table above. Use a Left Riemann sum using the subintervals indicated by the table to approximate g(3). Find g'(x) and evaluate g'(3). Using the data in the table, estimate f'(3). Explain why there must be a value of f, on 1 < x < 9 such that f (c) = 4.When it comes to kitchen remodeling, one of the most important decisions you will make is selecting the right kitchen faucet. A three-hole kitchen faucet is a great choice for any ...When it comes to buying a car, there are multiple options available to consumers. While traditional dealerships have been the go-to choice for many years, online platforms like Vro...AP Calculus Exam Scoring: Multiple Choice. The Multiple Choice section of the AP exam is similar in spirit to an SAT or ACT. ... Shaun earned his Ph. D. in mathematics from The Ohio State University in 2008 (Go Bucks!!). He received his BA in Mathematics with a minor in computer science from Oberlin College in 2002. In addition, Shaun earned a ...2. (D) p >1. (E) There are no values of p for which this integral converges. 7) The position of a particle moving in the xy-plane is given by the parametric equations x = t −3t2 3 and y = 2t −3t −12t. 3 2 For what values of. is the particle at rest? −1 only. 0 only. 2 only.2008 Multiple Choice Ap Calculus AP Calculus AB & BC Practice Exams Yuri Volvovski 2005 Discrete Choice Methods with Simulation Kenneth Train 2009-07-06 This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. ResearchersThe AP Calculus AB Exam will test your understanding of the mathematical concepts covered in the course units, as well as your ability to determine the proper formulas and procedures to use to solve problems and communicate your work with the correct notations. ... Section I: Multiple Choice. 45 questions 50% of Score Part A: Graphing ... The AP Calculus BC Exam is 3 hours and 15 minutes in length and consists of a multiple-choice section and a. free-response section. •. The 105-minute two-part multiple-choice section contains 45 questions and accounts for 50 percent of the. final grade. BuzzFeed revealing the identities of these NFT tycoons wasn't doxxing—it was journalism On Feb. 4, BuzzFeed published an article that revealed the identities of two of the most inf...Title: C:\homeschool\06 - Calculus\Practice Exam\AP Calculus Practice Exam and Solutions.wpd Author: Derek Created Date: 4/16/2015 8:30:44 PMMultiple Choice Questions to Prepare for the AP Calculus AB Exam is your essential tool to scoring well on AP Calculus AB Exam. This book fits the College Board requirements for the 2018 AP Exam, and reflects all the changes in the AP Calculus AB curriculum and the AP Exam format which took place in the 2016-2017 school year.28.8K subscribers. 3.4K. 218K views 6 years ago AP Calculus AB/BC Review. ...more. In this video, I go through no calculator multiple choice questions from the 2008 AP …The questions contained in this AP Calculus BC Practice Exam are written to the content specifications of AP Exams for this subject. Taking this practice exam should provide students with an idea of their general areas of strengths and weaknesses in preparing for the actual AP Exam. Because this AP Calculus BC Practice Exam has never been administered as an operational AP Exam, statistical ...This video focuses on the 2008 AP Calculus AB 2008 Calculator section. I show viewers how to use the TI Calculator in an efficient way to shorten techniques ...In this video I go over MCQ #25-28 from the Multiple Choice Non Calculator Section of the 2017 AP Calculus AB Exam. Mr. Yang's Teacher Website - Calculus AB Are you in search of an exciting and hassle-free way to explore new destinations? Look no further than bus tours vacation packages. Offering convenience, affordability, and a chanc...Ap Calculus Ab 2008 Multiple Choice Cracking the AP Calculus AB Exam, 2020 Edition The Princeton Review 2019-10-08 Make sure you're studying with the most up-to-date prep materials! Look for the newest edition of this title, Princeton Review AP Calculus AB Prep, 2021 (ISBN: 9780525569459, on-sale August 2020).2008 Ap Calculus Ab Multiple Choice AP Calculus AB Lecture Notes Rita Korsunsky 2013-07-16 This book contains the slides printouts of all the Powerpoint presentations on topics covered by the entire Calculus AB curriculum and tested on the AB Exam. These Lecture Notes can be used for both review and learning, and are aIn this video, we'll unpack sample multiple-choice questions.Download questions here: https://tinyurl.com/fw46sfvsStay motivated and keep preparing for AP Ex...The following provides a scoring worksheet and conversion table used for calculating a composite score of the exam. 2017 AP Calculus AB Scoring Worksheet. Section I: Multiple Choice. × 1.2000 = Number Correct Weighted Section I Score (out of 45) (Do not round) Section II: Free Response. Question 1. The model for exponential growth and decay that arises from the statement “The rate of change of a quantity is proportional to the size of the quantity” is. MPAC 3. Implementing algebraic/computational processes. MPAC 4. Connecting multiple representations Te Collee oar. 10 Sample uestions A Calculus AB/BC Exam. In this video, I go through the AP Calculus BC 2008 (calculator) section, questions 76 - 92. I cover a lot of topics from the AP Calculus BC curriculum and t...AP Calculus 2008 Multiple Choice 10. The graph of function f is shown above for 0 3.≤ ≤x Of the following, which has the least value? (A) () 3 1 ∫ f x dx (B) Left Riemann sum approximation of () 3 1 ∫ f x dx with 4 subintervals of equal length (C) Right Riemann sum approximation of () 3 1 ∫ f x dx with 4 subintervals of equal lengthThis document appears to be an exam for the 2008 AP Calculus AB Multiple Choice section. It contains 16 multiple choice questions testing various calculus concepts like limits, derivatives, integrals, and related rates. The questions cover topics including calculating limits, taking derivatives, evaluating integrals, analyzing graphs of functions and their derivatives, and solving related ...This document appears to be an exam for the 2008 AP Calculus AB Multiple Choice section. It contains 16 multiple choice questions testing various calculus concepts like limits, derivatives, integrals, and related rates. The questions cover topics including calculating limits, taking derivatives, evaluating integrals, analyzing graphs of functions and their derivatives, and solving related ...In this video, I go through the AP Calculus BC 2008 (calculator) section, questions 76 - 92. I cover a lot of topics from the AP Calculus BC curriculum and t...Questions And Worked Solutions For AP Calculus BC Multiple Choice 2018, Practice Exam. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this ...%PDF-1.3 %âãÏÓ 8 0 obj > endobj 24 0 obj >/Filter/FlateDecode/ID[1A79252933F83C2DACFDC4B651927285>3101A35E5797114185D10DFBBEF072F6>]/Index[8 26]/Info 7 0 R/Length ...This PDF review packet from the College Board includes 16 AP Calculus AB multiple choice questions. All of this material is based on the revised calculus curriculum. Course Description. The official course description includes quite few practice questions as well. There are multiple choice along with free response questions.only. ==() () ()() ()() ′ (). (). (), < < . + +=+ ...Here is an overview of the format of the AP Calculus AB multiple-choice section: 45 questions total; One hour 45 minutes total; Worth 50% of your total score; Part A. 30 questions ... in 2008, the process for converting raw AP scores to scaled scores involved multiplying the number of multiple-choice questions you answered correctly by 1.2272 ...Answers and solutions to 2008 Multiple Choice BC 9-14. Returnto Mr Calculus.Ap Calculus Bc 2008 Multiple Choice AP Calculus BC Lecture Notes Rita Korsunsky 2014-08-26 Imagine having interactive Powerpoint lectures that illustrate every problem, walking you through the procedure step-by-step. Imagine having every proof, illustration, or theorem explained concisely and accurately. This book contains2008 Multiple Choice WITH ANSWERS - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document appears to be an exam for the 2008 AP Calculus AB Multiple Choice section. It contains 16 multiple choice questions testing various calculus concepts like limits, derivatives, integrals, and related rates. The questions cover topics including calculating limits, taking ...How prepared are you for your AP Calculus AB Test/Exam? Find out how ready you are today! ... Multiple Choice Right: / 45 Multiple Choice Percent: 100% FRQ1 Score: ... (approx) AP Grade: 5 / 5 Find your score: 2017* 2016 2015 2012 2008 2003 * Estimate only View study guides (4) This calculator is based on the 2017* released exam with the latest ...Multiple-Choice Answer Key The following contains the answers to the multiple-choice questions in this exam. Answer Key for AP Calculus AB Practice Exam, Section I. Question 1: D. Question 2: B Question 3: B Question 4: E Question 5: D. Question 6: B Question 7: C Question 8: C. Question 9: D Question 10: A. Question 11: D Question 12: E ...AP Calculus Exam Scoring: Multiple Choice. The Multiple Choice section of the AP exam is similar in spirit to an SAT or ACT. ... Shaun earned his Ph. D. in mathematics from The Ohio State University in 2008 (Go Bucks!!). He received his BA in Mathematics with a minor in computer science from Oberlin College in 2002. In addition, Shaun earned a ...AP Calculus BC Multiple Choice 2008 Questions And Answers. Questions And Worked Solutions For AP Calculus BC Multiple Choice 2008, Practice Exam. AP Calculus BC …Mar 14, 2020 ... 2008 AP Calculus AB & BC Exam (Form B) Free Response Question #3 Table problem! (And calculator problem!) Topics: trapezoidal approximation ...2003 AP Calculus AB Exam MCQ Multiple Choice Questions with Answers Advanced Placement.pdf. ... 2008 AP Calculus AB Practice Exam MCQ Multiple Choice Questions with Answers Advanced Placement.pdf.2012 Practice Test AP Multiple Choice BC answers and solutions Part A no calculator allowed Problems 1-8 Problems 9-14 Problems 15-22 Problems 23-28 Part B calculator allowed Problems 76-85. Problems 86-92. Return to Mr Calculus ...In this video I go over MCQ #10-14 from the Multiple Choice Non Calculator Section of the 2008 AP Calculus AB Exam.
Korsunsky 2019-11-23 Multiple Choice Questions to Prepare for the AP Calculus AB Exam is your essential tool to scoring well on AP Calculus AB Exam. This book fits the College Board requirements for the 2020 AP Exam, and reflects all the recent changes in the AP Calculus AB curriculum and the AP Exam format. The author, Rita Korsunsky, is an. Things to do in a 100 mile radius of me
Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer). If you're seeing this message, it means we're having trouble loading external resources on our website. ... AP Calculus BC exams: 2008 1 b&c (Opens a modal) AP Calculus BC exams: 2008 1 c&d (Opens a modal) AP Calculus BC exams: 2008 1 d …AP Calculus Testbank (Chapter 9) (Mr. Surowski) Part I. Multiple-Choice Questions 1.The series X1 n=0 p n 1 n1+p+n+1 will converge, provided that (A) p>1 (B) p>2 (C) p>:5 (D) p<:5 (E) p>0 2.The series X1 n=1 a n= X1 n=1 ( n1) 2n n2 diverges because I. The terms are not all positive. II. The terms do not tend to 0 as ntends to 1. III. lim n!1 a ...Calculus AB. Multiple. Choice Exam. Section 1. No Calculator Active. PDF Created with deskPDF PDF Writer - Trial :: http://www.docudesk.com. AP Calculus 2008 Multiple Choice Sotvts. t. l*fiffi* *-# =--t- (A) -3. @9 G) 2. (D) 3. (E) nonexistent. , Ii*= J x"J" = +' = -*r' (A) lnr'?+C (B) r+C. -lnx2+C (C) -r @-"' *, (E) lxa +C.2008 AP Calculus BC Multiple Choice Answer.pdf. Utah State University. MATH 1100. 2008 AB MC.pdf. Solutions Available. Rutgers University. CALC 136. quiz2-versionA.pdf. York University. MATH 1310. Unit 6 Learning Journal Math1211 Calculus Unit 6.docx. University of the People. MATH 1211. View More.What is the sum of the series 1. (E) The series diverges. 21. A particle moves along a straight line. The graph of the particle’s position x ( t ) at time t is shown above for 0 < t < 6. The graph has horizontal tangents at t = 1 and t = 5 and a point of inflection at t = 2.In this video I go over MCQ #6-9 from the Multiple Choice Non Calculator Section of the 2008 AP Calculus AB Exam.Apr 21, 2022 ... In this video, I go through the AP Calculus AB 2012 (calculator) section, questions 76 - 92. I cover a lot of topics from the AP Calculus AB ...Frontier Airlines is a popular choice for travelers seeking affordable flights to various destinations. With multiple booking options available, it’s important to understand the di...2008 Ap Calculus Ab Multiple Choice AP Calculus AB Preparation Guide Cliffs Notes 1995-08 Multiple Choice Questions to Prepare for the AP Calculus BC Exam Rita Korsunsky 2020-05-08 Multiple Choice Questions to Prepare for the AP Calculus BC Exam is your essential tool to scoring well on AP Calculus BC Exam. This book fits the College Board ...The Armed Services Vocational Aptitude Battery (ASVAB) is a multiple-choice test used by the United States military to assess an individual’s aptitude for various military occupati...Calculus: Learn Calculus with examples, lessons, worked solutions and videos, Differential Calculus, Integral Calculus, Sequences and Series, Parametric Curves and Polar Coordinates, Multivariable Calculus, and Differential, AP Calculus AB and BC Past Papers and Solutions, Multiple choice, Free response, Calculus CalculatorAP® Calculus AB 2008 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,400 schools, colleges, universities, and other.
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