Calc bc 2023 frq

2023 AB/BC #1 (calculator-active) until t = 135 seconds from when the pumping began. (b) Since f is differentiable on the given interval, then it is continuous on that interval. Hence f is differentiable and continuous on the interval [60,120]. So by the Mean Value Theorem there must exist a time t = c, for 60 < c < 120, such that.

Calc bc 2023 frq. 2023 College Board. 3. A bottle of milk is taken out of a refrigerator and placed in a pan of hot water to be warmed. The increasing. function M models the temperature of the milk at time t, where M(t) is measured in degrees Celsius ( ) °C. and t is the number of minutes since the bottle was placed in the pan.

Questions 1 and 2 are long free-response questions that require about 25 minutes each to answer. Questions 3 through 6 are short free-response questions that require about 10 minutes each to answer. Read each question carefully and completely. Answers must be written out in paragraph form.

♾️ AP Calculus AB/BC 📌 Exam Date: May 13, 2024. ... Score Higher on AP Calculus 2024: FRQ Tips from Students. 7 min read. 2015 FRQ Review. streamed by Brandon Wu. AP Cram Sessions 2021. 🌶️ AP Calc Cram Review: Unit 1: Limits and Continuity. streamed by Meghan Dwyer.AP Calc BC Exam Mon, May 8th, 8 AM local AP Exams Begin Strategies & Tips for the AP Exam Take a mock exam in AP Classroom Thorough Cheat Sheet AP Calculus BC Study Sheet Applications of the Derivative The EVT, IVT, and MVT Unit 4 Review Unit 5 Review Answer AP Calc AB 2022 Exam, FRQ #6 Practice at least 30 MCQs of the non-calculatorAP® Microeconomics 2023 Free-Response Questions MICROECONOMICS SECTION II Total T ime—1 hour Reading Period—10 minutes . Writing Period—50 minutes . 3 Questions Directions: You are advised to spend the first 10 minutes reading all of the questions and planning your answers. You will then have 50 minutes to answer all three …The problems are the property of College Board and can be accessed here. https://apcentral.collegeboard.org/media/pdf/ap23-frq-calculus-ab.pdfIntro 0:00Part ...AP® Microeconomics 2023 Free-Response Questions MICROECONOMICS SECTION II Total T ime—1 hour Reading Period—10 minutes . Writing Period—50 minutes . 3 Questions Directions: You are advised to spend the first 10 minutes reading all of the questions and planning your answers. You will then have 50 minutes to answer all three …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 ...2023 AP Calculus AB Exam Free Response Question #5Miscellaneous Calculus Topics and a TableTopics: chain rule; product rule; concave up or down; evaluate def...

Consider the differential equation 1. dy y dx. =− Let yfx=()be the particular solution to this differential equation with the initial condition f()10.= For this particular solution, fx()< 1 for all values of x. (a) Use Euler's method, starting at 1x= with two steps of equal size, to approximate f()0.Macroeconomics 2023 Free-Response Questions 3. Assume that in the country of Zeta, the civilian noninstitutional population aged 16 and over is 1,000,000. The labor force participation rate is 70%, the unemployment rate is 9%, and the natural rate of unemployment is 5%. (a) Calculate the number of people in Zeta that are unemployed. Show your work.2004 AP Calculus AB & Calculus BC Form B number 6. You'll notice I forget to say how the sign of the derivative changed at the critical point that I found.....AP Calculus BC Exam Date - AP Students | College Board. Monday, May 13, 2024 8 AM Local.2022 AP Calculus AB & AP Calculus BC Exam Free Response Question #1Full playlist: https://www.youtube.com/watch?v=9QeJBkrHlxA&list=PL6iwkLfBjZiz7vkRE1eBu9Axh...The 2024 AP Calculus BC exam will be split equally between two sections: multiple-choice and free-response questions. Each section is worth 50 percent of the exam score. You will have 1 hour, 45 minutes to answer 45 multiple-choice questions and 1 hour, 30 minutes to answer 6 free-response questions. There are two parts to each section.Answer 1 point. Scoring notes: dy c ( 4 − 2 x 2 ) The first point is earned for setting = dx 0 , = 0 , or c (4 − 2 x 2 0. 4 − x 2. An unsupported x = 2 does not earn the first point. The second point can be earned without the first point but is earned only for the answer c = 0.6 with supporting work. Write your responses to this question only on the designated pages in the separate Free Response booklet. Write your solution to each part in the space provided for that part. 2. A particle moving along a curve in the xy-plane is at position ( x ( t ) , y ( t ) ) at time t 0 . The particle moves in.

♾️ AP Calculus AB/BC 📌 Exam Date: May 13, 2024. ... Score Higher on AP Calculus 2024: FRQ Tips from Students. 7 min read. 2015 FRQ Review. streamed by Brandon Wu. AP Cram Sessions 2021. 🌶️ AP Calc Cram Review: Unit 1: Limits and Continuity. streamed by Meghan Dwyer.We solve all free response questions from the 2023 AP Calculus AB exam. A few of these free response questions were also on the 2023 AP Calc BC exam. #apcalc...2022 AP Calculus BC Free Response Questions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 13, 2022 1. We are given, e ectively, A(t) = 450 p sin(0:62t), where 0 t 10, as the rate|in vehicles per hour|at which vehicles arrive at a toll plaza, with trepresenting the time elapsed since 5 A.M.Ap Calc Bc 2023 Frq Answers [PDF] - test.nafc AP Calculus BC - AP Central AP Calculus BC - AP Central Web ResultCalculus AB/BC 202 Scoring Guidelines AP® 2 . Part A (AB or BC): Graphing calculator required Question 1 9 points . General Scoring Notes . The model solution is presented using standard mathematicalAp Calc Bc 2023 Frq Answers .pdf / archive.nafc. ap12 calculus bc scoring guidelines - College Board Unit 8 Progress Check: FRQ Part A - PCHS AP CALCULUS AP Calculus BC 2013 Scoring Guidelines - College Board 2023 RELEASED FREE RESPONSE SOLUTIONS - MR.

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AP Calculus BC exams: 2008 1 c&d. AP Calculus BC exams: 2008 1 d. Calculus BC 2008 2 a. Calculus BC 2008 2 b &c. Calculus BC 2008 2d. Watch as Sal solves free response questions from past AP Calculus exams. This is a good preparation for your upcoming exam!Petition to allow Calc BC students to take the AB test as well. “Hello Mr. Packer, I am currently a student in AP Calc BC and while I am appreciative for the rescheduling of the tests, I am a bit concerned over the loss of the AB subscore. A major reason why I took this class was to get 8 college credits and now that I will not be getting the ...The following provides scoring worksheet s and conversion table s used for calculating a composite score of the exam . 2017 AP Calculus BC Scoring Worksheet. Section I: Multiple Choice. × 1.2000 = Number Correct Weighted Section I Score (out of 45) (Do not round) Section II: Free Response. 2023 AP Calculus AB & AP Calculus BC Exam Free Response Question #3The Milk Problem! (Differential Equations)Topics: solution curve on slope field; tangent ...

Scoring notes: The use of the average value formula, indicating that a = 1 and b = 5, can be presented in single or multiple steps to earn the first point. For example, the following response earns both points: ∫5 A(t ) dt = 1502.147865 , so the average value is 375.536966. AP Calculus BC is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of ... 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 ...Use the menu above to start your test prep with the best AP Calculus BC practice exams, free response questions, notes, videos, and study guides. A complete listing of the online resources that you need for your AP Calc review. AP Calculus BC Exam. This course is organized around the following big ideas: Big Idea 1: Limits; Big Idea 2: DerivativesAP® Calculus AB/BC 2021 Scoring Guidelines . Part A (AB or BC): Graphing calculator required Question 1 9 points . General Scoring Notes . Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at ...Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p .The AP Calculus BC exam has 2 sections: Section I contains 45 multiple-choice questions for which you are given 105 minutes to complete. Section II contains 6 free-response questions for which you are given 90 minutes to complete. The total time allotted for both sections is 3 hours and 15 minutes. Below is a summary of the different parts of ... The total duration of the AP Calculus BC Exam is 3 hours and 15 minutes. The exam is divided into two sections: multiple-choice and free-response, each with a specific time allotment. Section 1: Multiple Choice. The multiple-choice section lasts for 1 hour and 45 minutes and includes 45 questions and it is worth 50% of the total exam score. 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.Ap Calculus Ab Frq 2023 Answers (PDF) - www1.goramblers AP Calculus AB 2015 Scoring Guidelines - College Board Session 6 Calculus AB 2023 AP Daily Practice Sessions AP Calculus BC - AP Central AP Calculus AB - AP Central Scoring notes: • To earn the point the interpretation must includeAP Calculus BC FRQ #2 a. Acceleration vector from parametric equationsb. Speed with parametric equationsc. Slope of the tangent line with parametric equation...

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.

2023 RELEASED FREE RESPONSE SOLUTIONS – MR. CALCULUS 2023 AB #5 (no calculator) (a) h(x)=f(g(x)) h'(x)=f'(g(x))g'(x) Using values from the given chart: h'(7)=f'(g(7 ... All of their 2022 video solutions can be viewed right here. 2022 AP Calculus BC Free Response Question 1 Solution [Student] You can check out this project from past years here (2021), here (2019), here (2018), here (2017), and here (2016). Many more Williston student screencasts can be found online right here. Posted in: AP Calculus BC.Traveling by ferry is a popular way to explore the beautiful coastlines of British Columbia. BC Ferries offers a convenient and reliable service for both passengers and vehicles, c...AP CALCULUS BC Stuff you MUST Know Cold l'Hopital's Rule () 0 If or = () 0 fa ga ∞∞∞∞ ==== ∞∞∞∞, then () '() lim lim xa xa() '() fx f xAp calc ab frq 2023 released answers. 2021 ap calc bc frq answers. ... We have prepared our solutions to the AP Calc Free Response Questions for this year. You can find both the AB and BC questions in our solutions. Questions 1, 3, and 4 were the same for both exams. We have put the 6 AB questions first, followed by the 3 BC only questions.May 10, 2023 ... Comments ; Revisiting the AP Calc BC FRQ that I took back in high school. blackpenredpen · 63K views ; AP Calculus AB/BC 2023: Patterns in the FRQs ...Ap Calc Bc 2023 Frq Answers ... Calculus AB & BC 2016 is the must-have preparation tool for every student looking to do better on the AP Calculus AB & BC test! Cracking the AP Calculus BC Exam, 2015 Edition Princeton Review 2014-10-28 EVERYTHING YOU NEED TO SCORE A PERFECT 5. Equip yourself

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1. A GRAPHING CALCULATOR IS REQUIRED FOR THIS QUESTION. You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use Visit the College Board on the Web: www.collegeboard.org. AP Central is the oficial online home for the AP Program: apcentral.collegeboard.org. 1. 300 (a) ∫ r ( t ) dt = 270. 0. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. (b) 20 + ∫ ( 300 ( 300. In this video I go over the answers with explanations to all 6 AB Calculus free response questions from the 2023 exam.Death records are an important source of information for many people, and the British Columbia Archives is a great place to access them. Whether you’re researching your family hist...2023 AB/BC #1 (calculator-active) until t = 135 seconds from when the pumping began. (b) Since f is differentiable on the given interval, then it is continuous on that interval. Hence f is differentiable and continuous on the interval [60,120]. So by the Mean Value Theorem there must exist a time t = c, for 60 < c < 120, such that.Write your responses to this question only on the designated pages in the separate Free Response booklet. Write your solution to each part in the space provided for that part. 2. A particle moving along a curve in the xy-plane is at position ( x ( t ) , y ( t ) ) at time t 0 . The particle moves in.2023 AP Calculus AB FRQ #5 a. Numerical chain ruleb. Numerical product rule with chain rule to analyze concavityc. Evaluate a function defined as a definite ...The first sundials were built by the Egyptians and the Babylonians. These sundials date as far back as 5,000 BC. However, the first evidently purpose-built sundial was not construc...Students were also told that at time t = 0, the particle is at position ( 1, 0 ) . In part (a) students were asked to find the acceleration vector of the particle at time t = 1. This requires using a. d x 2 2 calculator to find the values = − 1.444 and d y dt 2 dt 2 = − 1.683. t = 1 t = 1. Click here to see the solutions to the 2023 AP Released Free Response questions. As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by . clicking here. [the questions are not included as they are copyrighted] ….

AP Calculus BC FRQ 2021 Question 3. Sort by: Add a Comment. salamance17171. OP • 3 yr. ago • Edited 3 yr. ago. These were just released so I tried this one due to the high level or fear of this "spinning top problem". I took ap calc a few years ago so I wanted to try it out.Ap Calc Bc 2023 Frq Answers: In this groundbreaking Ap Calc Bc 2023 Frq Answers, we embark on a transformative journey to demystify the challenges of Ap Calc Bc 2023 Frq Answers. Whether you are a student preparing for an academic milestone or a professional seeking to enhance your knowledge, this guide is your roadmap to Ap Calc Bc 2023 Frq ...Ap Calc Bc 2023 Frq Answers AP Calculus Premium, 2022-2023: 12 Practice Tests + Comprehensive Review + Online Practice David Bock 2022-01-18 Be prepared for exam day with Barron's. Trusted content from AP experts! Barron's AP Calculus Premium: 2022-2023 includes in-depth content review and online practice for the AB and BC exams.The Calculus AB free-response section is split into two parts: Part A: 2 questions, 30 minutes, graphing calculator required. Part B: 4 questions, 60 minutes, calculator not permitted. Altogether, this section counts for 50% of your AP Calc AB score (the other half is your multiple-choice section score).AP Calculus. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket2. Stephen swims back and forth along a straight path in a 50-meter-long pool for 90 seconds. Stephen's velocity is modeled by p − 0.02 t v (t) = 2.38 e sin (t) 56 , where t is measured in seconds and v (t) is measured in meters per _____ AP ® Calculus AB 2023 Free-Response Questions second. (a) Find all times t in the interval 0 < t < 90 at which Stephen changes direction.Computer Science A 2023 Free-Response Questions The AppointmentBook class contains two helper methods, isMinuteFree and reserveBlock. You will write two additional methods of the AppointmentBook class. public class AppointmentBook { /** * Returns true if minute in period is available for an appointment and returns * false otherwise *AP® CALCULUS AB/CALCULUS BC 2015 SCORING GUIDELINES. feet per hour, t is measured in hours, and 0 ≤ t ≤ 8. The pipe is partially blocked, allowing water to drain out the other end of the pipe at a rate modeled by D ( t ) = − 0.04 t 3 + 0.4 t 2 + 0.96 t cubic feet per hour, for 0 ≤ t ≤ 8. There are 30 cubic feet of water in the pipe ...The Calculus AB free-response section is split into two parts: Part A: 2 questions, 30 minutes, graphing calculator required. Part B: 4 questions, 60 minutes, calculator not permitted. Altogether, this section counts for 50% of your AP Calc AB score (the other half is your multiple-choice section score).Calc Bc 2023 Frq Answers goes beyond conventional study materials, offering a holistic approach to Ap Calc Bc 2023 Frq Answers. The journey doesn't end with Ap Calc Bc 2023 Frq Answers - 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 Calc bc 2023 frq, AP Calculus 2021 BC FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 12, 2021 1. Solution: We begin by writing r 0 = 0, r 1 = 1, r 2 = 2, r 3 = 2:5, and r 4 = 4. (a) To approximate f0(2:25) from the given data, we write, • The exact value of ( ) 150 0 1 150 ∫ g t dt is 12 25sin . 125 16 • A response may present the average value formula in single or multiple steps. For example, the following response …, Walkthrough of the 2023 AP Calculus AB a d BC FRQ #3Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free..., Ap Calc Bc 2023 Frq Answers Multiple-Choice & Free-Response Questions in Preparation for the AP Calculus AB Examination David Lederman 2011 Cracking the AP Calculus AB Exam David S. Kahn 2019 Provides a review of relevant math topics and test-taking tips, and also includes 6 full-length practice tests with answers with complete answer explanations., Walkthrough of the 2023 AP Calculus BC FRQ #6Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-respon..., In this video, we’ll unpack a sample free-response question—FRQ (Calculator Active).Download questions here: https://tinyurl.com/3du3uykmStay motivated and k..., Workplace Hazardous Materials Information System (WHMIS) certification is a crucial requirement for individuals working with hazardous materials in British Columbia (BC). Yes, WHMI..., Visit College Board on the web: collegeboard.org. AP® Calculus AB/BC 2023 Scoring Commentary. Question 1 (continued) In part (d) the response earned the first point for the correct value of g′ ( 140 ) . The response earned the second point with the statement “at t = 140 seconds, the rate of flow of gasoline is changing at a rate of − .005., 2022 AP Calculus BC Exam Free Response Question #5Full playlist: https://www.youtube.com/watch?v=9QeJBkrHlxA&list=PL6iwkLfBjZiz7vkRE1eBu9AxhU3fh8XEOarea & vo..., Here's my solution: FRQ Focus Studies! So what is a focus study exactly? If we look through the past AP exam questions on AP Central, we as teachers tend to notice that there are certain "types" of FRQs that tend to appear each year: 1) Rate In/Rate Out, 2) Graphical Stem, 3) Tabular, and 4) Differential Equations to name a few. While we ..., Walkthrough of the 2023 AP Calculus BC FRQ #5Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-respon..., Scoring notes: The use of the average value formula, indicating that a = 1 and b = 5, can be presented in single or multiple steps to earn the first point. For example, the following response earns both points: ∫5 A(t ) dt = 1502.147865 , so the average value is 375.536966., 2023 AP Calculus AB & BC FRQ #3a. Sketch solution into slope fieldb. Tangent line approximationc. Second derivative found with implicit differention, concavi..., 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., May 11, 2023 ... 2023 AP Calculus BC Solutions Practice Exam Calc Math Advanced Placement Free response Questions FRQ. 646 views · Streamed 11 months ago, Download free-response questions from past AP Calculus BC exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions., In this video, we'll unpack sample multiple-choice questions.Download questions here: https://tinyurl.com/562y9fn5Stay motivated and keep preparing for AP Ex..., ♾️ AP Calculus AB/BC 📌 Exam Date: May 13, 2024. ... Score Higher on AP Calculus 2024: FRQ Tips from Students. 7 min read. 2015 FRQ Review. streamed by Brandon Wu. , 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., On the following dots, representing the block in Trials and , draw and label the forces. Q 1 2. (not components) that are exerted on the block at the instant the block is released. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot., 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., Click here to see the solutions to the 2023 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 ..., 2023 AP Calculus AB & BC FRQ #1 a. Interpret meaning of integral using units, estimate value of integral using a right Riemann sumb. Mean Value Theoremc. Ave..., 2022 AP Calculus BC Exam Free Response Question #6Full playlist: https://www.youtube.com/watch?v=9QeJBkrHlxA&list=PL6iwkLfBjZiz7vkRE1eBu9AxhU3fh8XEOseries pr..., British Columbia is known for its stunning landscapes and picturesque roads, making it a popular destination for road trips and outdoor adventures. However, before embarking on you..., AP Calculus AB - AP Central Ap calc ab frq 2023 answers WEB22 Answers and Rubrics (AB) AP Calculus BC Questions. 25 Multiple Choice: Section I, Part A 31 Multiple Choice: Section I, Part B 33 Free Response: Section II, Part A 35 Free Response: Section II, Part B 38 Answers and Rubrics (BC) Sample Questions. AP Calculus AB/BC Exam, AP® Calculus AB Scoring Statistics 2023 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 3.79. 2.57., Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p ., • The exact value of ( ) 150 0 1 150 ∫ g t dt is 12 25sin . 125 16 • A response may present the average value formula in single or multiple steps. For example, the following response earns both points: ( ) , MOD. 2023 AP Exam Discussion Megathread. In order to keep things organized this will be the only pinned discussion post throughout the exams. Discussion posts will be up and linked here before your exam is completed. Monday May 1. US Government and Politics (US) - International Discussion. Spanish Literature and Culture (US) - International ..., Practice Sessions. SESSIONS 1-4: VIDEOS RELEASED 4/17. SESSIONS 5-8: VIDEOS RELEASED 4/24. Art History. Art History. Biology. Biology. Calculus AB., 2023 AP Calculus BC Exam Free Response Question #5Miscellaneous Calc BC Topics!Topics: area; natural logs; improper integral (notation matters!); integration..., 2023 BC Free Response Answers 1) a) Amount of gas, in gallons, pumped from 𝑡𝑡= 60 to 𝑡𝑡= 135; 8.25 b) 𝑓𝑓(120)−𝑓𝑓(60) 120−60 = 0; 𝑓𝑓 is diff. and therefore cont., so 𝑐𝑐 exists by MVT c) 0.096 d) -0.005; rate at which gas flows into the tank is decreasing at a rate of 0.005 gal/sec/sec 2)