2019 ab frq

x 2 x 2. in lines 7 and 8. Although not required, the response correctly states use of the squeeze theorem. Sample: 6B Score: 6. The response earned 6 points: 1 point in part (a), 3 points in part (b), 2 points in part (c), and no point in part (d). In part (a) the response earned the point for the value of h 2 .

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5. The inside of a funnel of height 10 inches has circular cross sections, as shown in the figure above. At height h, 1 2 the radius of the funnel is given by r 3 h , where 0 h 10. The units of r and h are inches. 20. Find the average value of the radius of the funnel. Find the volume of the funnel.

General Notes About 2019 AP Physics Scoring Guidelines. The solutions contain the most common method of solving the free-response questions and the allocation of points for this solution. Some also contain a common alternate solution. Other methods of solution also receive appropriate credit for correct work.2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . f2019 RELEASED FREE RESPONSE SOLUTIONS – MR. CALCULUS. So. This is the slope of the line tangent to. 2. '(2). are differentiable so they are both continuous. 4. 4.2019 RELEASED FREE RESPONSE SOLUTIONS - MR. CALCULUS. 2019 AB/BC #3. (no calculator) (a) ∫. 5. f (x)dx. −6.AP Calculus AB exam consists of two sections: multiple-choice questions (MCQs) and free-response questions (FRQs). 45 MCQs comprise Section One of the exam, and six FRQs or long-answer questions constitute Section Two. ... The mean AP Calculus AB score for May 2022 was 2.91. Between 2019 to 2022, roughly 56% of exam takers scored 3 or higher. ...AB{2 / BC{2 1999 2. The shaded region, R, is b ounded b y the graph of y = x 2 and the line y = 4,assho wn in the gure ab o v e. (a) Find the area of R. (b) Find the v olume of the solid generated b y rev olving R ab out the x {axis. (c) There exists a n um ber k, k> 4, suc h that when R is rev olv ed ab out the line y = k, the resulting solid ...2019 AP Calculus AB Exam Free Response Question #6Finding a derivative from a tangent line; using the product rule; using L'Hopital's Rule, limits, continuit...

AP Calculus AB 2000 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. Teachers may reproduce them, in whole or in part, in limited quantities, for face-to-face teaching ...approach to 2019 Ap Calculus Ab Frq. The journey doesn't end with 2019 Ap Calculus Ab Frq - we explore how to apply your knowledge in practical scenarios, ensuring that your foundation is not just a stepping stone but a solid base for future success. So, buckle up as we embark on this educational adventure, guiding you through the intricacies ...The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of more than 6,000 of the world’s leading educational institutions and is dedicated to ...CALCULUS AB/CALCULUS BC . 2019 SCORING GUIDELINES . Question 1 (a) 5 . Et d t 153.457690 . 0 . To the nearest whole number, 153 fish enter the lake from midnight to 5 . A. M. 1 2 : : integral 1 : answer (b) 1 . 5 . 50 Lt d t 6.059038 . 0 . The average number of fish that leave the lake per hour from midnight to 5 . A. M. is 6.059 fish per hour. 20.051 pounds of bananas are removed from the display table during the first 2 hours the store is open. (b) f ′ ( 7 ) = − 8.120 (or − 8.119 ) After the store has been open 7 hours, the rate at which bananas are being removed from the display table is decreasing by 8.120 (or 8.119) pounds per hour per hour. (c) g ( 5 ) − f ( 5 ) = − 2. ... 2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time—1 hour Number of questions—4 NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval − 6 x 5 .Introduction to 2019 International Practice Exam Ab Frq 2019 International Practice Exam Ab Frq lay the groundwork for your academic or professional pursuits. In this chapter, we explore the significance of 2019 International Practice Exam Ab Frq, their role in your journey, and set the stage for the comprehensive preparation that follows.

CALCULUS AB SECTION II, Part A. A graphing calculator is required for these problems. 1. The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W, where W t is measured in degrees Fahrenheit and t is measured in minutes. At time t 0, the temperature of the water is 55 F.2019 AP Calculus AB & AP Calculus BC Exam Free Response Question #3Working with a graph; definite integral; sum or difference of definite integrals; definite...Solving all six of the FRQs from the 2022 AP Calculus AB exam in one stitched together video. Trying to see if people prefer this!00:00 FRQ #108:29 FRQ #216...I have a lot of students who are preparing for AP Calculus exams right now, so I thought I'd cover some helpful tips to prepare. The best thing you can do is practice. You want to be constantly doing previous year's free response questions. But here's the most important tip for the free response questions (FRQ): they are fairly predictable. …We would like to show you a description here but the site won't allow us.

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2. Let f and g be the functions defined by f x 1 x ex 2 x and g x x 4 6.5 x 2 6 x 2. Let R and S be the two regions enclosed by the graphs of f and g shown in the figure above. Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid.AP Statistics 2019 Free-Response Questions - AP Central AP Calculus 2018 AB FRQ Solutions - MSU Denver AP® CALCULUS AB 2019 SCORING GUIDELINES Question 2 (a) vP is differentiable vP is continuous on 0.3 t 2.8. vP 2.8 vP 0.3 55 55 0 2.8 0.3 2.5 By the Mean Value Theorem, there is a value c, 0.3 c 2.8, such that vc2019 AP Free Response Solutions. Updated: Jul 14, 2023. If you're looking for help in AP Physics 1, check out a new course I've put together here I'm going to put together my own solutions for the 2019 AP Physics 1, AP Physics 2, AP Physics C, AP Calculus AB, AP Calculus BC, and AP Statistics Free Response questions here, after the questions ...This chapter contains solutions and notes for the free-response questions from past AP Calculus exams. The free-response questions and scoring guidelines for these exams are posted on the College Board's apstudent web site and, for teachers, on AP Central: For students: AB Questions. BC Questions. For teachers:

2019 AP®COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS. (b) Write the static method dayOfWeek, which returns the integer value representing the day of the week for the given date (month, day, year), where 0 denotes Sunday, 1 denotes Monday, ..., and 6 denotes Saturday. For example, 2019 began on a Tuesday, and January 5 is the fifth day of 2019.4. Swirl to dissolve the solid. For the correct step to ensure quantitative dilution: 5. After the solid is dissolved, fill the flask to the calibration ( 200.00 mL ) mark and mix. Total for part (c) (d) For a drawing that shows product formation and indicates the conservation of matter: 1 point.E° = ^(reduced species) - E°(oxidized species) = 1.36 V - 1.07 V = +0.29 V. Because E° for the reaction has a positive value, the reaction is thermodynamically favorable. point is earned for the correct balanced equation. point is earned for the correct calculation of E°. Br2 and Cl2 can react to form the compound BrCl.20.051 pounds of bananas are removed from the display table during the first 2 hours the store is open. (b) f ′ ( 7 ) = − 8.120 (or − 8.119 ) After the store has been open 7 hours, … Questions, Solutions for C1 AP Calculus AB 2019, examples, answers and step-by-step solutions Walkthrough of the 2019 AP Calculus AB FRQ #3PDF Solutions: https://www.bothellstemcoach.com/post/2019-ap-exam-solutionsThanks for watching the video. I have...1. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. 300. t = 300 is 80. = 414.286 (or 414.285) seconds. The number of people in line is a minimum at time t = 33.013 seconds, when there are 4 people in line.ap-calculus-ab-2019-practice-exam-frq (2).pdf. Solutions Available. University of Toronto. MATH 186. ap-calculus-bc-2019-practice-exam-mcq.pdf. Solutions Available. Mckinney H S. ANTAPHY 9427. AP Calc BC 2019.pdf. Solutions Available. University of Texas. BC 2019. AP Calc BC 2018.pdf. Solutions Available.

45 Questions | 1 Hour 45 minutes | 50% of Exam Score. Part A: 30 questions; 60 minutes (calculator not permitted). Part B: 15 questions; 45 minutes (graphing calculator required). Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions. Questions include analytical, graphical, tabular, and verbal ...

Click here to see the solutions to the 2019 AP Released Free Response questions. As always, your ... Mr. Calculus is a College Board endorsed AP* Calculus AB and AP* Calculus BC consultant and teaches at Diamond Bar High School in Diamond Bar, California. Mr. Calculus taught ...Walkthrough of the 2019 AP Calculus AB FRQ #2 Join My Discord Study Server: https://discord.gg/8WGtt3r If you'd like extra resources for AP Calculus, check...Write your solution to each part in the space provided for that part. 6. Consider the curve given by the equation 6xy y. = 2 + . dy y. (a) Show that 2 . dx = y2 − 2x. (b) Find the coordinates of a point on the curve at which the line tangent to the curve is horizontal, or explain why no such point exists.May 16, 2019 ... Comments5 ; 2019 AP Calculus AB & BC Free Response #4. Tom Cochran Life is a PiWay · 14K views ; 2019 AP Calculus AB BC FRQ #3. Allen Tsao The STEM ...2019 International Practice Exam Ab Frq: In this groundbreaking 2019 International Practice Exam Ab Frq, we embark on a transformative journey to demystify the challenges of 2019 International Practice Exam Ab Frq. Whether you are a student preparing for an academic milestone or a professional seeking to enhance your knowledge, this guide is ...calculus 2019 released free response solutions ab/bc 1 ab 2 ab/bc 3 ab/bc ... Free-Response Questions AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley …2019 AP Calculus AB & AP Calculus BC Exam Free Response Question #3Working with a graph; definite integral; sum or difference of definite integrals; definite... 2019 AP® CALCULUS AB FREE­RESPONSE QUESTIONS 6. Functions f, g, and h are twice-differentiable functions with g() 2 =h()2 =4. The line 2 y =+4 2 (x − 3 ) is tangent to both the graph of g at x =2 and the graph of h at x =2. (a) Find h¢(2). (b) Let a be the function given by ax =3xhx3 (). Write an expression for a¢(x). Find a ¢(2). Scoring notes: • To earn the point the interpretation must include “medication in the patient,” “approaches 12,” and units (milligrams), or their equivalents. Total for part (b) 1 point. (c) Use separation of variables to find y = A ( t ) , the particular solution to the differential equation dy = dt. 12 − y.

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Walkthrough of the 2019 AP Calculus AB FRQ #2 Join My Discord Study Server: https://discord.gg/8WGtt3r If you'd like extra resources for AP Calculus, check...AP® CALCULUS AB 2019 SCORING COMMENTARY Question 5 Note: y contain spelling and grammatical errors. Overview In this problem R is identified as the region enclosed by the graphs of g x 23 c osx 2 and hx 62 x 1 2, the y-axis, and the vertical line x 2. In part (a) students R. A response should demonstrate the area interpretation of1. AP® CALCULUS AB 2011 SCORING GUIDELINES. 4. The continuous function f is defined on the interval − 4 ≤ x ≤ 3 . The graph of f consists of two quarter circles and one line segment, as shown in the figure above. x Let g ( x ) = 2 x f ( t ) dt . 0. Find g(−3). Find g′(x) and evaluate g′(−3).Videos: 1) Polar 2) Series 3) Functions (graphs) 4) Functions (derivatives) 5) Differential Equations 6) Parametric PVA (six done) - For AB questions: https:...Questions 1 and 2 are long free-response questions that require about 22 minutes each to answer and are worth 10 points each. Questions 3–8 are short free-response questions that require about 6 minutes each to answer. Questions 3–5 are worth 4 points each and questions 6–8 are worth 3 points each. Read each question carefully and completely.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. Write, but do not evaluate, an integral expression for the area of the part of R that is below this horizontal line.45 Questions | 1 Hour 45 minutes | 50% of Exam Score. Part A: 30 questions; 60 minutes (calculator not permitted). Part B: 15 questions; 45 minutes (graphing calculator required). Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions. Questions include analytical, graphical, tabular, and verbal ... 2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . f ….

May 16, 2019 · 2019 AP Calculus AB Exam Free Response Question #6Finding a derivative from a tangent line; using the product rule; using L'Hopital's Rule, limits, continuit... Official 2019 answer keys will eventually go online right here, along with the ones from past years that have already been posted. You can view the 2019 AP Calculus BC Free Response Questions right here. All of the 2019 answer keys that my students created can be viewed right here. All of their 2019 video solutions can be viewed right here.WEBAP Calc AB 2019 Released FRQ Solutions. (a) = 153.457690 To the nearest whole number, 153 fish enter the lake from midnight to 5 A.M. dt = 6.059038 (b) 5-00 The average ...AP Calculus 2019 AB FRQ Solutions - MSU Denver Be Prepared for the AP Calculus Exam - skylit.com Section I: Multiple-Choice Questions AP Calculus AB 2019 Free-Response Questions AP Calculus 2018 AB FRQ Solutions - MSU Denver 2020 AP Calculus AB Practice Exam - muncysd.org Ap Calc Ab 2019 Mcq Answers [PDF] - archive.nafcAP Calculus AB Exam 2018 Free Response Question #2Particle motion along the x-axis problem. Given velocity. Find derivative at a point, acceleration, using...Watch as Thinque Prep's Master Math instructor walks through the AP Calculus AB Sample Questions (2020) and breaks down the questions step by step.Intro: 0:0...2022: Free-Response Questions. 2021: Free-Response Questions. 2019 Free Response Questions. 2018 Free-Response Questions. 2017 Free-Response Questions. 2016 Free …2011 Calculus AB free response #6b. 2011 Calculus AB free response #6c. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problems for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).Web ResultAP Calculus 2019 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 18, 2019 1 Problem 1 1.1 … Web Result1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are 2019 ab frq, Solving all six of the FRQs from the 2022 AP Calculus AB exam in one stitched together video. Trying to see if people prefer this!00:00 FRQ #108:29 FRQ #216..., 180 Days of Intro Stats. 180 Days of Intro Stats (SPA 4e) 150 Days of AP Stats - CED. 150 Days of AP Stats - Classic. Calc Medic. Math Medic. Assessments. Review Course. Workshops., Questions And Worked Solutions For AP Calculus AB 2019. AP Calculus AB 2019 Free Response Questions - Complete Paper (pdf) AP Calculus AB 2019 Free Response Question 1 Rate in, rate out problem. Integral of a rate; average value of a function. Fish enter a lake at a rate modeled by the function E given by E(t) = 20 + 15 sin(πt/6)., 2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . f, AP Calc BC 2019 Released FRQ Solutions. (a) = 153.457690 To the nearest whole number, 153 fish enter the lake from midnight to 5 A.M. dt = 6.059038 (b) 5-00 The average number of fish that leave the lake per hour from midnight to 5 A.M. is 6.059 fish per hour. (c) The rate of change in the number of fish in the lake at time t is given by E(t ..., AP Statistics 1998 Free-Response Questions - College Board AP® Statistics Scoring Statistics 2019 Free-Response Questions AP Calculus 2019 AB FRQ Solutions - MSU Denver 2019 International Practice Exam Frq Ap Stats Full PDF … 2019 AP STATISTICS FREERESPONSE QUESTIONS 2019 International Practice Exam: A P Microeconomics, 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. Write, but do not evaluate, an integral expression for the area of the part of R that is below this horizontal line., Ap calculus ab 2019 practice exam. FULL EXAM. Subject. AP Calculus AB. 977Documents. Students shared 977 documents in this course. Degree. AP. School. …, scoring guidelines; 2019 AP exam administration; teacher resources; exam resources; exam practice; exam scoring information; exam preparation; course preparation; AP Scoring Guidelines from the 2019 Exam Administration; £½? 7÷ø¶Â ´ O ÿuÞ¨Ó Øau^K9 éÚ` Created Date: 7/15/2019 9:23:35 PM , AP Calculus 2017 AB FRQ Solutions - MSU Denver 2019 International Practice Exam: A P Microeconomics AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … AP Physics 1 2018 Free-Response Questions AP Calculus AB Exam from the 2017 Exam Administration AP Calculus AB 2018 Free-Response Questions AP Calculus 2018 AB FRQ Solutions - MSU ..., Scoring notes: • The response must be a definite integral with correct lower and upper limits to earn this point. 5 5 • Because A ( t) = A ( t ) for 1 ≤ t ≤ 5, a response of ∫ 450 sin ( 0.62t ) dt or ∫ A ( t ) dt earns the. 1 1. point. A response missing dt …, 2019 AP Calculus AB Exam Free Response Question #6Finding a derivative from a tangent line; using the product rule; using L'Hopital's Rule, limits, continuit..., calculus 2019 released free response solutions ab/bc 1 ab 2 ab/bc 3 ab/bc 4 ab 5 ab 6 bc 2 bc 5 bc 6. back to mr calculus ..., 2019 AP ® HUMAN GEOGRAPHY FREE-RESPONSE QUESTIONS GO ON TO THE NEXT PAGE. -3-2. Infant mortality varies widely around the world and is affected by complex real-world characteristics. The infant mortality rate is a key demographic indicator that can be used to assess social, economic, and other conditions at multiple geographic scales., 2019 International Practice Exam Ab Frq, we embark on a transformative journey to demystify the challenges of 2019 International Practice Exam Ab Frq. Whether you are a student preparing for an academic milestone or a professional seeking to enhance your knowledge, this guide is your roadmap to 2019 International Practice Exam Ab Frq. 2019 ..., Show the work that leads to your answer. Indicate units of mea sure. (b)Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of, 2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time—1 hour Number of questions—4 NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval − 6 x 5 ., CALCULUS AB/CALCULUS BC . 2019 SCORING GUIDELINES . Question 1 (a) 5 . Et d t 153.457690 . 0 . To the nearest whole number, 153 fish enter the lake from midnight to 5 . A. M. 1 2 : : integral 1 : answer (b) 1 . 5 . 50 Lt d t 6.059038 . 0 . The average number of fish that leave the lake per hour from midnight to 5 . A. M. is 6.059 fish per hour., 2019 SCORING GUIDELINES. Question 2. 2 H 2 O 2 ( aq) → 2 H 2 O ( l) + O 2 ( g ) Hydrogen peroxide, H 2 O 2, decomposes according to the equation above. This reaction is thermodynamically favorable at room temperature. (a) A particulate representation of the reactants is shown below in the box on the left., 13.2. 9.7. 4.2. The following comments on the 2019 free-response questions for AP® Calculus AB and Calculus BC were written by the Chief Reader, Stephen Davis of Davidson College. They give an overview of each free-response question and of how students performed on the question, including typical student errors., Each essentially correct (E) part counts as 1 point, and each partially correct (P) part counts as 1⁄2 point. If a response is between two scores (for example, 2 1⁄2 points), use a holistic approach to decide whether to score up or down, depending on the strength of the response and quality of the communication., Score Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4. Sample Responses Q5. Sample Responses Q6. Sample Responses Q7. Download free-response questions from past AP Chemistry exams, along with scoring guidelines, sample responses from exam takers, and scoring …, Video transcript. Problem 1. For 0 is less than or equal to t is less than or equal to 6, a particle is moving along the x-axis. The particle's position x of t is not explicitly given. The velocity of the particle is given by v of t is equal to all of this business right over here., AP Calc BC 2019 Released FRQ Solutions. (a) = 153.457690 To the nearest whole number, 153 fish enter the lake from midnight to 5 A.M. dt = 6.059038 (b) 5-00 The average number of fish that leave the lake per hour from midnight to 5 A.M. is 6.059 fish per hour. (c) The rate of change in the number of fish in the lake at time t is given by E(t ..., CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—30 minutes Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by. the function A, where . Ah ()is measured in square feet. The ..., Part A (AB or BC): Graphing Calculator Required. 0 ≤ t ≤ 12, where R(t) is measured in vehicles per hour and t is the number of hours since 7:00 a.m. (t = 0). Values of R(t) for selected values of t are given in the table above. Use the data in the table to approximate Rʹ(5). Show the computations that lead to your answer., x 2 x 2. in lines 7 and 8. Although not required, the response correctly states use of the squeeze theorem. Sample: 6B Score: 6. The response earned 6 points: 1 point in part (a), 3 points in part (b), 2 points in part (c), and no point in part (d). In part (a) the response earned the point for the value of h 2 ., Having a six pack is almost every guy’s dream. This drive to attain that level of perfection has led to numerous fitness instructors coming up with what they term as the right way ..., 4. Be succinct in your AP® Biology free responses. This isn't an AP® English Language free response essay. One of the most common mistakes AP® Biology students make when answering free response questions is thinking if they just write a lot, they can score more points. This is not true., 2019 International Practice Exam Ab Frq Answers WebFREE-RESPONSE SOLUTIONS ~ 2019 AB Question AB-2 (a) vtP is differentiable and therefore continuous on 0.3,2.8 .Since 2.8 0.3 55 55 0 2.8 0.3 2.5 vvPP , the Mean Value Theorem guarantees that there is at least one t in the open interval 0.3,2.8 such that vtP 0. 1 (b) The trapezoidal sum is ..., WebAP® CALCULUS AB/CALCULUS BC 2018 SCORING COMMENTARY Question 1 Overview The context of this problem is a line of people waiting to get on an escalator. The function r models the rate at which people enter the line, where t t3 7 rt 44 1 100 300 for 0 t 300, rt 0 and for t 300; rt WebThe following contains the answers to the multiple-choice ..., Apr 21, 2021 ... The title captures it all. In this video, I narrate my thoughts through the AP Calculus AB/BC 2019 Free Response question 3., 2019 AP ® CHEMISTRY FREE-RESPONSE QUESTIONS . GO ON TO THE NEXT PAGE. -5-CHEMISTRY . Section II . Time—1 hour and 45 minutes . 7 Questions . YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1-3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each.