2019 ab frq

AP® Calculus AB 2010 Scoring Guidelines Form B The College Board 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 College Board is composed of more than 5,700 schools, colleges, universities and other educational organizations.

AB FREE-RESPONSE QUESTIONS. 5. A car is traveling on a straight road. For 0 £ t £ 24 seconds, the car's velocity v ( t ), in meters per second, is modeled by the piecewise-linear function defined by the graph above. Find Ú v t dt ( ) . Using correct units, explain the meaning of.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 ...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.Introduction to 2019 International Practice Exam Ab Frq Answers 2019 International Practice Exam Ab Frq Answers lay the groundwork for your academic or professional pursuits. In this chapter, we explore the significance of 2019 International Practice Exam Ab Frq Answers, their role in your journey, and set the stage for the comprehensiveA P Chemistry 2014 Free-Response Questions - College Board AP Chemistry 2009 Free-Response Questions - College Board 20 - m.shsbnu.net AP Calculus 2019 AB FRQ Solutions - MSU Denver AP Chemistry 2022 Free-Response Questions - College Board AP Calculus 2019 BC FRQ Solutions - MSU Denver AP Chemistry 2021 Free-Response Questions - AP CentralCALCULUS 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.2014 to 2019 AP Chemistry Free-Response Questions. You can also view the 2021 FRQ and their scoring guidelines. There is no login required for access to these questions. You can also check out my article that lists all the AP Chemistry practice tests and quizzes that are available online. There are a few more unofficial practice tests that ...Jul 5, 2019 ... What do you think you'll get on this year's AP exams (2019)? ... Calc AB: Predicted 4 i was certain i passed ... FRQ 2, and a near-zero FRQ 3. For ...

Give students approximately 3 minutes to answer the survey questions. 2018-19 AP Exam Instructions. 46 AP Calculus AB/BC Exams Then say: Close your booklet and put your answer sheet on your desk, faceup. Make sure you have your AP number label and an AP Exam label on page 1 of your answer sheet.Sample: 3C. Score: 3. The response earned 3 points: no points in part (a), no points in part (b), 2 points in part (c), and 1 point in part. (d). In part (a) the property of definite integrals that is required is not stated, so the first point was not earned.In this video I go over Problem 5 from the Free Response Non-Calculator Section of the 2019 AP Calculus AB Practice Exam. 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. ... AP Calculus AB 2022 Free-Response Questions - College Board

Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. 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 [email protected]. Note ...2019 AP Free Response Solutions. 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 are released.AP Calculus AB 2019 Exam FRQ #1This frq problem deals with the following concepts in calculus.-Rate-in and rate-out-Average value of a function-increasing/d...The velocity of a particle, P, moving along the x-axis is given by the differentiable function P(v), where P(v((t)) is measured in meters per hour and t is m...

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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.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 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 ...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

Mar 30, 2020 ... AP Calculus AB 2019 AP Calculus AB Free Response #1 www.mrayton.com.free response problem for AP test 2019 ap calculus bc questions 2019 the college board. college board, advanced placement, ap, ap central, and the acorn logo. Skip to document. University; High School. ... Ap19-frq-calculus-bc. free response problem for AP test. Subject integral calculus. School Burlington Township High School - Burlington-NJ ... 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. 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.2019 SCORING GUIDELINES. 5 points (1 + 1 + 3) Question 2. (a) 1 point: • One point is earned for calculating Dana's total benefit from purchasing 2 bottles of water and 1 unit of good X as $66 and for showing the work. $24 + $18 + $24 = $66 OR $42 + $24 = $66. (b) 1 point:Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. AP Exams are regularly updated to align with best practices in college-level learning. Not all free-response questions on this page reflect the current exam, but the question types and the topics are ...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 Exam Free Response Question #5Area of a region; integral by hand; Fundamental Theorem, FTC; volume with known cross sections; volume give...AP Central is the official online home for the AP Program: apcentral.collegeboard.org. 2019 AP®CALCULUS BC FREE-RESPONSE QUESTIONS. CALCULUSBC SECTION II, Part A. Time—30 minutes. Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1.

2019 Digital Portfolio Submission Deadlines. Tuesday, April 30, 2019, 11:59 p.m. ET: This was the deadline for all work for AP Research, AP Seminar, and AP Computer Science Principles performance tasks to be submitted. Friday, May 10, 2019, 8 p.m. ET: This was the deadline for all work for the AP Studio Art digital portfolio and the AP 2-D Design and AP Drawing physical portfolios to be submitted.

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...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, …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 PMAP® Statistics Scoring Statistics 2019 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 1.68. 1.12.Give students approximately 3 minutes to answer the survey questions. 2018-19 AP Exam Instructions. 46 AP Calculus AB/BC Exams Then say: Close your booklet and put your answer sheet on your desk, faceup. Make sure you have your AP number label and an AP Exam label on page 1 of your answer sheet.The title captures it all. In this video, I narrate my thoughts through the AP Calculus AB/BC 2019 Free Response question 1. I highlight some key concepts fo...Section II: Free -Response Questions . Multiple-Choice Answer Key . Free-Response Scoring Guidelines . Scoring Worksheet . Question Descriptors and Performance Data. Note: This publication shows the page numbers that appeared in the 2016−17 AP Exam Instructions book and in the actual exam. This publication was not repaginated to begin with ...

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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 BC FREE-RESPONSE QUESTIONS 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 function . A 2019 AP® 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. Fish enter a lake at a rate modeled by the function E given by . p t Et ()=20 +15 sin (6 ). Fish leave the lake at . a rate modeled by the function . L . given by . Lt ... Sample: 1B. Score: 7. The response earned 7 points: 1 point in part (a), 2 points in part (b), 1 point in part (c), and 3 points in part (d). In part (a) the difference quotient of 10 - 6 in the first line would have earned the first point with no simplification. In.AP® CALCULUS AB/CALCULUS BC 2014 SCORING GUIDELINES. 1. Grass clippings are placed in a bin, where they decompose. For 0 ≤ t ≤ 30, the amount of grass clippings remaining in the bin is modeled by A ( t ) = 6.687 ( 0.931 ) t , where A ( t) is measured in pounds and t is measured in days. Find the average rate of change of A(t) over the ...1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram. Based on the histogram, write a few sentences describing the distribution of room size in the residence hall. Summary statistics for the sizes are given in the following table. Mean.Now that we've established 2019 Ap Calculus Ab Frq, it's time to dissect the 2019 Ap Calculus Ab Frq formats you might encounter. Chapter 2 provides a comprehensive exploration of 2019 Ap Calculus Ab Frq, from multiple-choice to essay-based 2019 Ap Calculus Ab Frq. Understanding the 2019 Ap Calculus Ab Frq is key to tailoring your study approach.AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … AP Calculus Multiple-Choice Question Collection 1969-1998 - MathGuy.… Calculus AB Practice Exam - AP CentralEach 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.AB FREE-RESPONSE QUESTIONS. 5. A car is traveling on a straight road. For 0 £ t £ 24 seconds, the car's velocity v ( t ), in meters per second, is modeled by the piecewise-linear function defined by the graph above. Find Ú v t dt ( ) . Using correct units, explain the meaning of. ….

AP® Calculus AB 2009 Free-Response Questions Form B The College Board 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 5,600 schools, colleges, universities and other educational organizations.For the correct answer: 1 point. Electron flow should be indicated only in a counter-clockwise direction in the external circuit, from the Cl2 anode to the Mg cathode. (b) For the correct answer and calculated value: No, because 2.0 V is less than 3.73 V, which is the minimum voltage needed for electrolysis to occur.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 ...AP 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 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 ...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 ...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. ...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.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 PMNext Video. My solutions to Free Response Question #1 from the 2019 AP Physics 1 Exam. Also included are my reflections on how to get more points on the exam. Content Times: 0:13 Reading part (a) 1:19 Solving part (a) 3:46 We made a mistake. 4:31 Fixing our mistake. 6:09 Grading notes. 2019 ab frq, AP Calc BC 2019 Released FRQ Solutions. 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 ..., 2019 AP® CALCULUS BC FREE­RESPONSE QUESTIONS 5. Consider the family of functions 1 fx() x 2 − 2x k, where k is a constant. (a) Find the value of k, for k! 0, such that the slope of the line tangent to the graph of f at x 0 equals 6. (b) For k −8, find the value of fx d() 1 x 0 . (c) For k 1, find the value of fx d()x 0 2 or show that it diverges., 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, 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 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 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 ..., Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. 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 ssd@info ..., 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 ..., We can refer to the AP® Student Score Distributions, released by the College Board annually. These reports show us that the mean score was 2.93 in 2017, 2.94 in 2018, 2.97 in 2019, and 3.07 in 2020. Calculating the raw average for the prior seven years allows us to determine a mean score of 2.95 for AP® Calculus AB., AP Calculus AB - AP Central 2020 AP Calculus AB Practice Exam - muncysd.org AP Practice Exam: Calculus AB AP Calculus AB - ebnet.org Sample AP Calculus AB and BC Exam Questions AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … AP Calculus AB 2018 2019 - St. Johns County School District AP Calculus 2019 AB FRQ Solutions - MSU Denver, 2020 AP Calculus AB Practice Exam - cpb-us … Be Prepared for the AP Calculus Exam - skylit.com AP Calculus AB - College Board AP Calculus AB 2019 Free-Response Questions AP Statistics Scoring Guidelines from the 2019 Exam … AP Calculus AB - AP Central AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … AP Statistics 2019 Free ..., 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 [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Human Geography ..., Abraham Lincoln’s Gettysburg Address is one of the most iconic speeches in American history. Delivered on November 19, 1863, at the dedication of the Soldiers’ National Cemetery in..., Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. 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 [email protected]. The ... , y = cx 4 x 2 , for some c. Each spinning toy is in the shape of the solid generated when such a region is. −. revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx 4 x2 − for c = 6. dy c 2x (4., FREE-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, General Notes About 2018 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., The hydraulic market is a crucial industry that powers various applications, ranging from heavy machinery to industrial equipment. In Nisku, AB, finding a reliable source for all y..., Ap19 frq calculus ab - 1 2019 ap calculus ab questions 2019 the college board. college board, advanced placement, ap, ap central, and the acorn logo are Skip to document University, The overview explains how students answered it successfully and where many students answered each question incorrectly. This report teaches you a lot about how to answer the free-response questions. For example, on the 2019 Chief Reader report for AP® Calculus AB, there were several references to the importance of good notational habits. The ..., 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.nafc, 30, is a better model for the amount of grass. clippings remaining in the bin. Use. L t. to predict the time at which there will be 0.5 pound of grass. clippings remaining in the bin. Show the work that leads to your answer. 2014 AP. …, 2019 AP® 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. Fish enter a lake at a rate modeled by the function E given by . p t Et ()=20 +15 sin (6 ). Fish leave the lake at . a rate modeled by the function . L . given by . Lt ..., In this video, we'll unpack a sample free-response question—FRQ (No Calculator).Download questions here: https://tinyurl.com/3kmjcb23Stay motivated and keep ..., Apr 28, 2020 ... Dr V shares her tips and trips for free response question #4 from the 2019 AP Chemistry exam., 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, 2019 AP ® MICROECONOMICS FREE-RESPONSE QUESTIONS MICROECONOMICS Section II Total Time—1 hour . Reading Period—10 minutes . Writing Period—50 minutes . 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 of the following questions., May 17, 2019 ... 2019 AP Calculus BC Exam Free Response Question #6 Series question! Taylor polynomials from Taylor's formula; Taylor series you memorized ..., 30, is a better model for the amount of grass. clippings remaining in the bin. Use. L t. to predict the time at which there will be 0.5 pound of grass. clippings remaining in the bin. Show the work that leads to your answer. 2014 AP. CALCULUS AB FREE-RESPONSE QUESTIONS., 1 point. One point is earned for stating that the U.S. current account will be in deficit and for explaining that an increase in the U.S. real GDP increases the U.S.'s demand for European goods and services, which increases imports. 2 points. One point is earned for drawing a correctly labeled graph of the foreign exchange market for the euro., AP® Calculus AB 2013 Free-Response Questions . About the College Board . 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, 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)., 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. , 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.