ap calculus bc 2021 frq scoring guidelines

hbbd``b`o@$`L'l;b uX9"X 7 $@ C(jcdH.Q@ j Z Question 1 (a) 5 0 Et dt 153.457690 To the nearest whole number, 153 fish enter the lake from midnight to 5A. Solution to the 2011 AP Calculus Free-Response Question 1. And you want those explanations to teach you the concepts, not just be a string of equations. Section II: Free Response - Question 5 (AB Part), Section II: Free Response - Question 5 (BC Part), 2022 AP Calculus BC 2021 Free Response Question 1. These are our questions with different numbers, but otherwise are exactly the same as the AP questions, Remove a removable discontinuity (example), Find the slope of a tangent line (example), Differentiate or integrate within PVA context (example), Find a particular solution to a differential equation (example), Calculate volume of a solid with geometric cross sections (example), (BC-only) Find a coefficient of a term in a Taylor polynomial (example). Courses, AP Calculus BC included, are essentially college-level subjects. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. To achieve a 5 on the AP Calculus BC exam, you will need a combination of tenacity, commitment to learning the material, and a dedicated study plan. 2. It may be a good idea to put the ones you do want to memorize on flashcards to help you study: Properties of limits at a point and limits at infinity, Mean value theorem (MVT) and Rolle's theorem, Fundamental theorem of calculus (FTC) and 2nd FTC, Integral rules (basic, trig, properties of definite, (BC-only) improper), Area between curves (in terms of x, in terms of y), (BC-only) Parametric slope, speed, and arc length, (BC-only) Derivatives of vector-valued functions, (BC-only) Polar to rectangular coordinates. APCalculus BC 2008 Scoring Guidelines Form B 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. -5#\f AP Statistics Exam Free-Response Question And Scoring Information PDF AP Calculus 2019 BC FRQ Solutions - MSU Denver, AP Calc BC 2019 - MCQ FRQ - K20RRVWRRRW:RRR - Studocu, Calc AB & Calc BC 2011 (Form B) FRQ #5 - YouTube. 2018 SCORING GUIDELINES Question 1 (a)( ) 300 0 =270r t dt According to the model, 270 people enter the line for the escalator during the time interval 0 300.t 1 : integral 2 : 1 : answer (b)( )( ) ( ) 300 300 00 Fall Semester Summary Sheet Spring Semester Summary Sheet AP Calc Formula Practice WS Derivative/Integral Rules College Board Released FRQs from 2000-2018 (Solution Keys under "Scoring Guidelines") AB Calculus Free Response Notebook (Collection of 1990-2010 AB FRQs & Solutions Organized by Topics/Category) 2019 AP FRQ Questions 2019 FRQs Solution Key 2021 AB FRQ Questions 2021 FRQ Solution Key . If you simplify something incorrectly, readers are instructed to ignore the correct one. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. Reddit and its partners use cookies and similar technologies to provide you with a better experience. This way, your study time is maximized by learning and reviewing only the things you do not already understand. } Created by Sal Khan. hbbd``b`y Privacy Policy. The average AP Calculus BC scores differ yearly due to factors such as a new student population and changes in exams(the most recent revision happened in fall 2016). Only include the information you need to score points and do any additional work on scratch paper. Units are very important here, so know how derivatives and integrals affect units. Part A: 2 questions; 30 minutes (graphing calculator required). Always have your calculator set to radians, not degrees. This resource has two AP Calculus BC practice exams, one with 20 questions and the other with 9. /Filter /FlateDecode Once you know the makeup of a 3, 4, or 5 AP Calculus BC score, you will be better prepared to ace your exam with minimal worry. This common question has no easy answer. GO ON TO THE NEXT PAGE. Pay close attention to the task verbs used in the free-response questions. 4K views 11 months ago AP Calculus Area/Volume FRQs 2022 AP Calculus BC Exam Free Response Question #5 Full playlist: 2022 AP Calculus . Emeritus Professor of Mathematics Metropolitan State University of Denver May 21, 2019 1 Problem 1 1.1 Part a Because sh enter the lake at the rate E(t) = 20+15sin t 6, with tin hours after midnight, the number, F, of sh that enter the lake over the 5-hour period from t= 0 to t= 5, is For most free-response questions on the test, the final answer to a problem is only worth 1-2 points out of a possible 9. Visit the College Board on the web: collegeboard.org. Don't simplify unless the question explicitly tells you to. This site uses cookies to enhance site navigation and personalize your experience. Answers given as a decimal approximation should be, correct to three places after the decimal point. Here's a breakdown of formulas and theorems you want to memorize/be familiar with for the exam. point is not earned for inappropriate rounding. Check out our AP Calculus section for tons of review articles. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [emailprotected] AP Calculus BC Exam Free-Response Questions and Scoring Information Archive Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. Visit the College Board on the Web: www.collegeboard.org. Use it. Use this AP Calculus BC score calculator to project how you might do. Here are some things to look at in advance of test day: If you don't have a graphing calculator or can't afford one, ask if you can borrow one from a friend or teacher and do so now so you can practice with it. Show Step-by-step Solutions. () ()G x f x = The graph of G is concave up for 4 2x < < and 2 6,x because G f = is increasing on these intervals. You can see this year's AB questions here. stream 0 2011 AP Calculus BC Exam Form B #6.Topics: Maclaurin Series; manipulating a given series; integrating a series term by term; interval of convergence; alterna 2011 AP Calculus BC Exam Form B #4.Topics: Average value; definite integral; concavity; increasing/decreasing; arc length; u-substitution. Visit the College Board on the Web: www.collegeboard.org. 2021 AP Calculus BC Exam Free Response Question #5Full playlist: https://www.youtube.com/playlist?list=PL6iwkLfBjZixEcq-THVfosREeDizd1nK5Differential equatio. questions ap calculus bc 2022 free response questions 1 from 5 a m to 10 a m the rate at Familiarize yourself with the grading process. For more information, please see our By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. College Board calls out 4 functionalities that your calculator is expected to do (source). It saves time, and readers know to ignore it. . Both sections of the AP Calculus AB/BC exam are weighted equally. AP Exams are regularly updated to align with best practices in college-level learning. Clearly label any functions, graphs, tables, or other objects that you use. Questions include various types of functions and function representations and a roughly equal mix of procedural and conceptual tasks. Learning Opportunities for AP Coordinators. 2021 AP Exam Administration Scoring Guidelines - AP Calculus BC Author: College Board Subject: Advanced Placement; AP; Keywords: 2021 ; AP Exam Administration ; Scoring Guidelines; scoring information; free-response scoring criteria; scoring resources; FRQ; teacher resources; exam information Created Date: 7/19/2021 7:13:56 PM. AP Calculus Review Materials. 2211 0 obj <>/Encrypt 2189 0 R/Filter/FlateDecode/ID[<98BBDAE73187AF45B0424E79FDC8E284>]/Index[2188 38]/Info 2187 0 R/Length 101/Prev 512023/Root 2190 0 R/Size 2226/Type/XRef/W[1 2 1]>>stream 10-Minute Review for AP Physics 1 As AP exam season is upon us, I wanted to do a quick summary of the major topics in AP Physics 1 and what you should keep in mind. Give a reason for your answer. Below are some common question types. A lot. Show more Show more It's cable reimagined. For each of the past exams' FRQs, College Board provides scoring guidelines and sample responses. S91eSvlIwFq_!de EWc`0S/Pi1~]O/?7aj~{(Pf&mAJgk)BJg-gLvc\Nc1d$`(Rghl`d{Q5}* ,5Cg$74QW The AP Calculus BC Exam has consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. We love seeing the new questions and working through them, always amazed at the original ways the College Board incorporates multiple concepts into a single question. Study it. Founded in 1900, the College Board is composed of more than 5,700 schools, colleges, universities and other educational organizations. Need extra help in preparing for AP Calculus BC? Peruse the following for in-depth course help. AP Calculus BC 2022 Free-Response Questions Author: ETS Subject: Free-Response Questions from the 2022 AP Calculus BC Exam Keywords: Calculus BC; Free-Response Questions; 2022; exam resources; exam information; teaching resources; exam practice Created Date: 4/2/2022 1:24:30 PM Free-response questions and scoring guidelines are available on the Exam Preparation section of the About the Exam page for AP Calculus BC. Make sure not to spend too much time on any one question so youll have enough time to answer all of them. The density of a bacteria population in a circular petri dish at a distance r centimeters from the center of the dish is given by an increasing, differentiable function f, where f (r)is measured in milligrams per square centimeter. AP Calculus BC 2011. 2011 Calculus BC free response #1 (b & c) 2011 Calculus BC free response #1d. By accepting all cookies, you agree to our use of cookies to deliver and maintain our services and site, improve the quality of Reddit, personalize Reddit content and advertising, and measure the effectiveness of advertising. Review free-response questions, sample student responses, and scoring guidelines from past exams. The AP Calculus BC Exam has consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. 2022 AP Calculus BC2 Scoring Guidelines and Solutions Texas Instruments Education 22.4K subscribers Subscribe 79 views 7 months ago 2022 AP Calculus Free Response Questions This video. 2011 Calculus BC free response #1 (b & c) Google Classroom About Transcript Position and slope of particle's path at a given time. The following strategies for answering the free-response questions will help you on exam day. On the MCQ sections, take the last couple of minutes to make sure you answer every question. Calculating the raw average for the prior seven years allows us to determine a mean score of 3.78 for AP Calculus BC. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [emailprotected]. Each one directs you to complete a specific type of response. In developing our product, we've found a number of different question types that appear frequently on the exam. Remember to write your work in standard notation (e.g. This is achieved by multiplying the number of correct responses in the multiple-choice section by 1.2000 and adding that to the number of points earned in the free-response section. A subreddit intended to help students score higher on the AP Calculus Exam and Each FRQ is 9 points so it may be 3 points for each of a, b, and c. But it could also be like 3, 4, 2 or 2, 4, 3. ap calculus bc 2021 frq scoring guidelines. Simply saying that the second derivative equals zero or is undefined is not a justification. 81.6% of students achieved a 3 or higher. Albert.ios AP Calculus BC score calculator was created to motivate you to plan for the upcoming exam. ThePast Exam Questions pagehas free-response questions and scoring information from the 2016 exam and before. If the answer to a later part of a question depends on the answer to an earlier part, you may still be able to receive full credit for the later part, even if that earlier answer is wrong. AP Calculus BC 2021 Full Exam Paper with Multiple-Choice Questions 6 Textbooks worth $300 12 Guidebooks worth $360 13 Full-length practice tests from 4 Guidebooks Why practice with only real papers /Length 2316 endstream endobj 2189 0 obj <>>>/EncryptMetadata false/Filter/Standard/Length 128/O(Q.`;RvqL)/P -1028/R 4/StmF/StdCF/StrF/StdCF/U(v3;@O )/V 4>> endobj 2190 0 obj <>>> endobj 2191 0 obj <> endobj 2192 0 obj <. Here are some tips to improve your performance on FRQs. Preparation is the key to mastering any exam. %PDF-1.6 % This will help you quickly find zeros, extrema, intersection points, etc., which can lead to faster solution methods (example). Reddit and its partners use cookies and similar technologies to provide you with a better experience. Cookie Notice 527 0 obj <>stream scoring guidelines released for 2019-2020 here, Click here to share this calculator on Twitter, Try Alberts AP Calculus BC practice questions. Free-Response Question and Scoring Archive. 2011 Calculus BC free response #6b. We've looked through the FRQs from the last 10 years and noticed some trends. ap calculus 2021 ab frq solutions louis a talman ph d emeritus professor of mathematics . Section 1: Multiple-Choice Questions. PdfFiller. The 2021 scoring guidelines go a step further and give all the items readers were instructed to count and not count. ()t2 dt = At time 0,t=x(00)= and y(04. Just set it up correctly and give the answer. AP Calculus BC Exam Free-Response Questions And Scoring Information 2011 Calculus BC Free Response #1 (b & C) (video) | Khan Academy, 2011 Calculus BC Free Response #3a (video) | Khan Academy, 2011 Calc Bc Frq Answers - Myilibrary.org. Take entire sections of College Board's past exam questions (AB and BC) and time yourself. If you're skipping around (and even if you're not), make absolutely sure you're answering the correct question on your MCQ scantron. Calculus 3.9k members in the apcalculus community. Part B: 4 questions; 60 minutes (calculator not permitted). 3. Course Hero is not sponsored or endorsed by any college or university. 2021 AP Calculus BC Free Response Question 1 Solution [Student] You can check out this project from past years here (2019), here (2018), here (2017), and here (2016). APCALCULUS BC 2011 SCORING GUIDELINES (Form B) Question 2 2011 The College Board. Make sure you and your students know what calculators are permitted. Make sure your calculator is on College Board's list of approved calculators. AP Calculus BC Exam Free-Response Questions and Scoring Information Archive Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. Visit the College Board on the Web: www.collegeboard.org. However, typically about twice as many students take the AP Calculus AB exam each year than take the AP Calculus BC exam. Get in the habit of using parentheses when plugging things in. 2011 Calculus BC free response #1a. Also, check out this reference for thebest AP Calculus BC review books. Often in the table question but also in others, they will ask you to interpret the meaning of something in context. To review the AP Credit Policy, for schools youre considering, use College Boards search tool. fnInt(X2,X,1,5)), as calculator syntax is not acceptable. APCALCULUS BC 2011 SCORING GUIDELINES Question 1 2011 The College Board. The 2022 AP Calculus BC exam has a passing rate of 76.9% and a mean score of 3.68, both of which are significantly higher than the passing rate and average score of AP Calculus AB. For example, 1b on both AB and BC 2021 asked for a Riemann sum and required a sum of four products for the first point. where weve prepared hundreds of multiple-choice and free-response questions for you. College Board emphasizes different presentations of data. Teaching AP Calculus is challenging but the 48 hours between the exam and the free response release are probably the hardest! Many free-response questions are divided into parts such as (a), (b), (c), and (d), with each part calling for a different response. Practice. (9 M^oeNg#OMQw%0|0ud$Gl/Q~m1zm~*:6X -4- CALCULUS BC SECTION II, Part B Time60 minutes Number of problems4 No calculator is allowed for these problems. >> Practice these kinds of questions because they come up often. salamance17171 2 yr. ago. Some things like squeeze theorem just require some familiarity rather than outright memorization. Compare to the test booklet every time you fill in an answer. You don't lose points for getting it wrong, and you have a 25% chance of getting it right (or higher if you eliminate a choice or two first). %%EOF Although the official scoring guidelines don't release . Pay close attention to the task verbs used in the free-response questions. On Part A FRQs, you are not required to show any work for these 4 things. Not sure how things are looking in your AP Calc prep? This is invaluable. Here's a useful file too that has all of these major topics summarize 896 0 1 2022 AP Physics 1 Exam Review I'm hosting a 2-hour full AP exam review on April 16th. Please note that this pagedoes notrepresent the updated course and exam. xZY~_G"N>QM%"\IPI+9@\QiAw(DHpUHN4/~*?92L/lm_/aBUx^L~Q!A6R!uwvk,k*e\U3#Yj$-!g.pyfyf]}WmO9}Wo>lU}gmBuYwfkmTe@vQZS0a*z(Fb6%#XN!;yZ:u At this time, the College Board has not officially released a scoring worksheet that reflects the latest changes in AP Calculus BC. 5.3K subscribers in the apcalculus community. This means that the majority of points are earned through intermediate steps of the problem and if you don't show how you reached those intermediate steps, you'll get a very low score on AP Calc BC FRQ. On-line PDF Form Filler, Editor, Type On PDF, Fill, Print cronograma del examen de nombramiento docente 2023, honors biology semester 1 final study guide answers, holt algebra 2 chapter 5 test form b answers, civil service exam result june 2023 region 4b, arkansas cosmetology written exam practice, examenes selectividad ingles castilla la mancha resueltos, resultado de exame de sangue de gravidez positivo, la times sunday crossword answers march 27 2023, cores dos tubos para coleta de exames laboratoriais, icd 10 code for physical exam without abnormal findings. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Credit for each part is awarded independently, so you should attempt to solve each part. Unless otherwise specified, your final answers should be accurate to 3 places after the decimal point. 2188 0 obj <> endobj Within each individual free-response question, at most one. concave up? Just remember you still need to show your setup on FRQs. Part A: 30 questions; 60 minutes (calculator not permitted). Give a reason for your answer. The exam reader wants to see if you know how to solve the problem. Unit 11: Lesson 3. The College Board . According to the latest 2020 AP Calculus BC score distribution report 81.6% of students achieved a 3 or higher. Receiving a 3, 4, or 5 is generally accepted as scoring well on an AP exam. Procedural things like Riemann sums and Euler's method (BC only) are great candidates for programs, and you can find a lot of good resources via Google. let us know and well tell you how you can get started on Albert for free! These reports show us that the mean score was 3.81 in 2014, 3.72 in 2015, 3.80 in 2016, 3.78 in 2017, 3.74 in 2018, 3.80 in 2019 and 3.84 in 2020. According to the latest, 2020 AP Calculus BC score distribution report. 513 0 obj <>/Encrypt 492 0 R/Filter/FlateDecode/ID[<5BFCF516C9CBC7328E23F9BF599F7970><5CE4817CBEA2274FB77DCD948CE3AF31>]/Index[491 37]/Info 490 0 R/Length 98/Prev 188282/Root 493 0 R/Size 528/Type/XRef/W[1 2 1]>>stream Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. Often (like in 2021 #1 on both AB and BC) they ask you to do both. 2021 AP Calculus BC Exam Free. 2008 A calculator is only useful on a timed exam if you know how to use it efficiently. $@A$D| Ve"H,.Hp(@ $b A@#,"FrZ oe Keep this in mind despite the course focus on integral and differential calculus. AP Calculus BC Exam - AP Central | College Board The . You can study anywhere, anytime with Albert.io resources. The survey questions are numbers 91 through 94. !i That means understanding that a derivative is a rate of a quantity changing and a definite integral is the net change in a quantity over an interval. Monitor your time carefully. These guidelines can be applied to alternate approaches to ensure that these alternate approaches are scored, be a continuous function defined on the closed interval, This global point can be earned in any one part. The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. 2021 AP Exam Administration Scoring Guidelines - AP Calculus BC Author: College Board Subject: Advanced Placement; AP; Keywords: 2021 ; AP Exam Administration ; Scoring Guidelines; scoring information; free-response scoring criteria; scoring resources; FRQ; teacher resources; exam information Created Date: 7/19/2021 7:13:56 PM Nsc /CgRk_mPTNV?W4" K>uu*f*H]6;c k&NN\_FzhCXIi-Ob z {e6MyW Because Part A and Part B offer only four answer options for each question, do not mark the (E) answer circle for any question. We can refer to the AP Student Score Distributions, released by the College Board annually. AP Calculus AB/BC 2021 Scoring Guidelines (a) On what open intervals is the graph ofG concave up? %PDF-1.6 % For additional practice visit the Albert.io guide to AP Calculus AB-BC where weve prepared hundreds of multiple-choice and free-response questions for you. AP Calculus AB/BC 2021 Scoring Guidelines, Part B (AB or BC): Graphing calculator not allowed, Answers (numeric or algebraic) need not be simplified. Visit the College Board on the Web: www.collegeboard.org. Answering free-response questions from previous AP Exams is a great way to practice: it allows you to compare your own responses with those that have already been evaluated and scored. It is the most efficient way to study for a test and especially for Math. Cross it out or draw an X through it instead. Values of f (r) for selected values of . AP Calculus BC 2001 Scoring Guidelines The materials included in these files are intended for non-commercial use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program. If you do work that you think is incorrect, simply put an X through it instead of spending time erasing it completely: crossed-out work wont be graded. Programs are allowed. 2021 AP Calculus BC Exam Free Response Question #6Full playlist: https://www.youtube.com/playlist?list=PL6iwkLfBjZixEcq-THVfosREeDizd1nK5Series question! (2019) BC test include an FRQ where you are given a table of data and asked to approximate a derivative with AROC or a definite integral with a Riemann sum. Start your AP exam prep today. Make sure that your calculator can do each of these things and know how to do them efficiently. and our Once you know the scoring guidelines, use them to make your answers easy to follow. 0 % There will most certainly be one FRQ with a table of data, at least one with a graph, and at least one with explicit function definitions (f(x) = ). The AP Calculus BC Exam is intended to determine students comprehension of basic calculus concepts, their ability to apply said concepts, and their ability to determine connections among analytical, graphical, numerical, and verbal representations in mathematics. << You may want to look over all the questions as you begin each part of the free-response section before starting work. Our score calculators use the official scoring worksheets of previously released College Board exams to provide you with accurate and current information. It's not worth spending time spinning your wheels when you can be earning points elsewhere. Solution: We begin by writing r 0 = 0, r 1 = 1, r 2 = 2, r 3 = 2:5, and r 4 = 4. According to the College Board a 3 is qualified, a 4 well qualified, and a 5 extremely well qualified. Depending on the school you plan to attend, college credits are often offered for scores within the 3-5 range. Privacy Policy. For Part B, fill in only the circles for numbers 76 through 90 on the answer sheet. During the second timed portion of the free-response section (Part B), you are permitted to continue work on problems in Part A, but you are not permitted to use a calculator during this time. Not all free-response questions on this page reflect the current exam, but the question types and the topics are similar, making them a valuable resource for students. The scoring guidelines are intended to emulate the austerity of similar college courses. They're sometimes sprinkled into other FRQs (like 2021 #5a), and they're usually in one or two MCQs per test as well. We can refer to the AP Student Score Distributions, released by the College Board annually. Make things easier on yourself and ask around for one. (a) To approximate f0(2:25) from the given data, we write Scoring guidelines and notes contain examples of the most common approaches seen in student responses. dJbY#iO3f8 }XcVN~E'w_bTB+(T_p1{,9U uxu%5J.b|eNMrIM}Q.4fCY2-wg$Dc#L3:~Yc ruJ$:(ExQGy4Ylp|]=:Hsv. and our Posted in: AP Calculus BC, Calculus, Math News, Student screen recordings Many more Williston student screencasts can be found online right here. Answers without supporting work will usually not receive credit. Receiving a 3, 4, or 5 is generally accepted as scoring well on an AP exam. Show all the steps you took to reach your solution on questions involving calculations, even if a question may not explicitly remind you to do so. Your proctor will give you a heads-up when you're running out of time. Each one directs you to complete a specific type of response. Guess if you have to. To review the AP Credit Policy, for schools youre considering, use, When evaluating your performance on the AP Calculus BC Exam take into account the subject matter and your performance versus that of your peers. SaltySpark101 2 yr. ago. . Know what they expect you to include with your answers. SHs]g}im4-mehK4Qag>vvc1~I % 4?c+2&VotkmVgd7 "I(d Nb!N2$]H~irX8j[=e{OAX %PDF-1.5 251) rather than calculator syntax (e.g. The scores on AP exams are curved every year by the College Board to preserve consistency and standardize student performance. 491 0 obj <> endobj These reports show us that the mean score was 3.81 in 2014, 3.72 in 2015, 3.80 in 2016, 3.78 in 2017, 3.74 in 2018, 3.80 in 2019 and 3.84 in 2020. Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions. 2011 APCALCULUS BC FREE-RESPONSE QUESTIONS 2011 The College Board. AP Exams are regularly updated to align with best practices in college-level learning. Cookie Notice Well-established foundations in algebra, elementary functions, geometry, and trigonometry are essential for students. Here are just a few such questions. AP Exams are regularly updated to align with best practices in college-level learning. ,PV{0UIOt\3\sYr:8A)jtUQ *5jKvHd1 k9)B_mbo/=E2I" v[pF!O0D;K,&6vg-xn]VP"OYP2(Y/-;EXcj (8L69lktmYWrue=hG@}x6EEox./*+ ;f^6o3Eh/FxeffSvMy\yFh8d5UZ$ ouIIC|: l, endstream endobj startxref

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