Ap calc ab 2018 mcq answers. If you are using assistive technology and need help...

To prepare for the multiple-choice section of the AP Calc A

AP Calculus AB Practice Tests. Use our free AP Calculus AB tests to prepare for your test prep. We have 10 tests which cover the major topics of this course, followed by a full-length AP Calculus AB practice exam. Answers and detailed explanations are included with all of our practice questions. Choose a test from the listing below to start ...1 : answer Note: max 13 [1-0] if no chain rule ,4 4 4 4 4 NO CALCULATOR ALLOWED '-IA (years) I 2 3 5 7· 10 H(t) (meters) 1.5 2 6 11 15 4, The height of a tree at time tis given by a twice-differentiable function H, where H(t) is measured meters ... AP® CALCULUS AB/CALCULUS BC 2018 SCORING COMMENTARY Question 4 Overview The context of this ...Questions, Solutions for AP Calculus AB Multiple Choice 2018 Part A, examples, answers and step-by-step solutions.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 Calculus AB exams ...The AP Calculus AB Exam has consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. Section I: Multiple Choice. 45 Questions | 1 Hour 45 minutes | 50% of Exam Score. Part A: 30 questions; 60 minutes (calculator not permitted).AP Calculus 2018 AB FRQ Solutions - MSU Denver AP Calculus AB and AP Calculus BC Sample Questions AP Calculus BC - AP Central ... web2003 AP Calculus BC Multiple Choice Answers Part A - Non Calculator 1. E 2. C 3. A 4. D 5. C 6. C 7. C 8. B 9. A 10. C 11. D 12. E 13. A 14. web1969 AP Calculus BC: Section I 40.Ap calc ab 2018 mcq answers – Prepare to conquer the AP Calculus AB 2018 MCQ exam with our comprehensive guide. This meticulously crafted resource provides an in-depth analysis of the exam structure, content coverage, question types, practice strategies, and effective test-taking techniques.Answers to AP Calculus AB Review 5.1: Correct 6 Weeks Exam, Derivatives Circuit. Derivatives Circuit Answer Key; 5.2: FRQ Modules 1-4. ... 5.4: 2016 MC Questions from BC Exam Day 1 2018 AB 5; MC Questions from 2016 BC Exam; AP Calculus AB Review 3; AP EXAM ON 5/5/2020. Powered by Create your own unique website with customizable templates.Watch as Sal solves free response questions from past AP Calculus exams. This is a good preparation for your upcoming exam! ... AP Calculus AB solved free response questions from past exams. Unit 10. AP®︎ Calculus AB Standards mappings. Course challenge.AP® CALCULUS AB/CALCULUS BC 2018 SCORING COMMENTARY. Question 1 (continued) second point for the answer 270. In part (b) the response earned the first point for 210 on the right side of the response area. The …AP Calculus AB Multiple Choice 2015 Questions - Practice Exam (pdf) Video with Solutions Q1 - 14. Show Video with Solutions Q15 - 28. Show Video with Solutions Q76 - 92. Antiderivative. If f (x) =. Antiderivative. The values of a continuous function f for selected values of x are given in the table above. Let f be the function defined above ...This is Part B of the multiple choice section of our free AP Calculus AB practice exam. There are a total of 15 test questions which must be answered within 45 minutes. A calculator is required for some questions on this part of the AP Calculus AB multiple choice. Question 1. y y y = x = f(x) = 3 (x + 1)2 + e. A.We're excited to once again share with you our early solutions to this year's AP Calc AB Free Response Questions. 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. Some of of our exam predictions turned out to be spot on, but we definitely missed the return to an area/volume ...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.A playlist of review problems for the AP Calculus AB and BC exams. All problems are written by me but based on past AP exam multiple choice sections. The pro...Step by Step worked out solutions for the 2018 AP Calculus AB Exam Free Response Questions2018 Ap Calc Bc Mcq Answers Acing AP Calculus AB and BC Barron's AP Calculus David Bock 2012-02-01 Both Calculus AB and Calculus BC are covered in this comprehensive AP test preparation manual. Main features include: Four practice exams in Calculus ... 5 Steps to a 5: AP Calculus AB 2018 Elite Student Edition William Ma 2017-07-28 Get ready toAP Calculus AB Scoring Guide Unit 4 Progress Check: MCQ Copyright © 2017. The College Board. These materials are part of a College Board program.The following provides a scoring worksheet and conversion table used for calculating a composite score of the exam. 2017 AP Calculus AB Scoring Worksheet. Section I: Multiple Choice. × 1.2000 = Number Correct Weighted Section I Score (out of 45) (Do not round) Section II: Free Response. Question 1.36. 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.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.It is Tuesday morning, May 9, and you will be taking either the AP Calculus AB Exam or the AP Calculus BC Exam. If you are giving the alternate exam for late testing, say: It is Thursday morning, May 18, and you will be taking either the AP Calculus AB Exam or the AP Calculus BC Exam. 42. Calculus. Open your answer sheet to page 2.In this video, we'll unpack sample multiple-choice questions.Download questions here: https://tinyurl.com/fw46sfvsStay motivated and keep preparing for AP Ex...AP classes prepare learners to take tests on college-level knowledge in 38 subjects. Students can take AP classes in 38 areas, including English. Updated March 21, 2023 • 5 min rea...Study with Quizlet and memorize flashcards containing terms like If y = x(2x+5)^1/2, then the derivative of y equals:, What is the integral of 2^x?, The limit as x approaches -7 of (x+7) / |x+7| is: and more.Ap calc ab 2018 multiple choice answers We additionally manage to pay for variant types and as a consequence type of the books to browse. Beginning on page 228 there are 22 multiple-choice questions you can use to practice. 7441 0 obj stream This total is multiplied by 1.2 to calculate the adjusted multiple-choice score. 22 22 2 1 3 6 2 3 2 7 3 lim lim lim x x x1 3 2 3 2 3 xxx x x x x of of ...AP Calculus BC 2021 Free Response Question 1. 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. Values of f (r) for selected values of r are given in the table above.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 ...Answer Key for AP Calculus AB Practice Exam, Section I Question 1: B Question 2: C Question 3: D Question 4: D Question 5: C Question 6: D Question 7: D Question 8: B ... Multiple-Choice Section for Calculus AB 2019 Course Framework Alignment and Rationales Question 1 Skill Learning Objective Topic 1.E FUN-6.C . Finding AntiderivativesAP® 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 ...Practice Test 1. AP®Calculus AB 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.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).Show Video Lesson. AP Calculus AB Multiple Choice 2008 Question 16. 16. If sin (xy) = x, then dy/dx =. Show Video Lesson. AP Calculus AB Multiple Choice 2008 Question 17. 17. The graph of the function f shown above has horizontal tangents at x = 2 and x = 5. Let g be the function defined by g (x) = ∫f (t)dt.Step by Step worked out solutions for the 2018 AP Calculus AB Exam Free Response QuestionsPrograms such as Microsoft Excel, Apple Numbers and OpenOffice Calc allow users to create purposeful, adaptable spreadsheets. Spreadsheets are computer files that have the appearan...2018 Ap Calc Bc Mcq Answers 5 Steps to a 5: AP Calculus AB 2018 Elite Student Edition William Ma 2017-07-28 Get ready to ... AP Calculus AB 2018 Elite Student Edition introduces an effective 5-step study plan to help you build the skills, knowledge, and test-taking confidence you need to achieve a high score on the exam. ThisTerms in this set (18) Average Value of a Function. 1/b-a (integral a-b) f (x)dx. Change in position. Simply integrate the rate of change over the interval. Like how integral of velocity (m/s) will find displacement (m). New position. Old position + Change in position (integral of velocity).Feb 2, 2018 ... ... answer grid as well until you go back and answer it. Process of Elimination. On every multiple-choice test, the correct answer is given to you.PDF AP Calculus AB 2008 Multiple Choice Exam Solutions. controversy on whether to include x = -2, x = 1, and x = 3 in the answer, but they are included this time. B 77. Since lim lim , lim does not exist.f x f x f xz xxoo22 xo 2 C 78. Consider the graph of shown below. f is increasing on the intervals where is positive.AP Calculus AB 2008 Multiple Choice Answers 1. B 2. D 3. D 4. B 5. A 6. A 7. B 8. E 9. D 10. C 11. B 12. D 13. A 14. E 15. C 16. D 17. ... 2016 AP Calculus AB Practice Exam MCQ Multiple Choice Questions with Answers Advanced Placement. AP Calculus AB 90% (82) Students also viewed. Calc 6 - this;AP® Calculus Multiple-Choice Tips. In this section, we review some specific tips regarding the multiple-choice portions of the AP® Calculus exam. Although some of these may also be extended to the FRQ portion, these tips are more tailored to the multiple-choice questions on the test. 1. Use the Process of Elimination Technique (POE).10th edition updates -- the 10th edition of this book has several new questions, which I've solved in this video: https://youtu.be/u0DsaJP5foQAP Calculus AB Scoring Guide Unit 5 Progress Check: MCQ Part B Copyright © 2017. The College Board. These materials are part of a College Board program.2018 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. People enter a line for an escalator at a rate modeled by the function r given by ⎧ ⎪ t t. 3 7 ⎪⎪ 44 1 for 0 ££ t ⎪ ()(rt ()=⎨ 100 …AP Calculus AB 2000 Free Response Questions - Complete Paper (pdf) Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or …AP® CALCULUS AB/CALCULUS BC 2018 SCORING COMMENTARY. Question 1 (continued) second point for the answer 270. In part (b) the response earned the first point for 210 on the right side of the response area. The response earned the second point for the answer 80.2018 Collegeboard AP Calculus AB Practice Exam. AP Calculus AB. Practice materials. 76% (75) 9. ... 100% (2) 16. Unit 1 Practice Questions (Answers and Explanations) AP Calculus AB. Practice materials. 100% (2) Comments. Please sign in or register to post comments. Report Document. ... 2003 ap-calc-mc - 2003 AP calculus AB paper; Math …For Part B, fill in only the circles for numbers 76 through 90 on page 3 of the answer sheet. Because Part A and Part B offer only four answer options for each question, do not mark the (E) answer circle for any question. The survey questions are numbers 91 through 94. Indicate all of your answers to the multiple-c hoice questions on the answer ...AP Calculus AB: Unit 1. Intermediate Value Theorem. Click the card to flip 👆. if f (x) is continuous on [a,b] and we can show that the function's value is negative at one side of the interval and positive at the other side, then the graph must cross the x axis at some point on the interval (proves existence of a root) Click the card to flip ...Practice Test 2. AP®Calculus AB 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.2018 Ap Calc Bc Mcq Answers 1969 AP Calculus BC: Section I - images.pcmac.org ... AP Calculus Exams. webAP Calculus 2018 AB FRQ Solutions. Louis A. Talman, Ph.D. Emeritus. Professor of Mathematics Metropolitan State University of Denver. May 22, 2018. 1 Problem 1. 1.1 Part a. During the time interval 0. 300, 300 Z 300 3 t r(t) dt = 44 1. 0 0 ...AP® CALCULUS AB/CALCULUS BC 2018 SCORING COMMENTARY. Question 1 (continued) second point for the answer 270. In part (b) the response earned the first point for 210 on the right side of the response area. The response earned the second point for the answer 80.36. 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.1993 AP Calculus AB: Section I. 8. If tan cot ,yx x=− then. dy dx. (A) sec cscx x(B) sec cscx−x(C) sec cscx+x(D) sec csc22x−x(E) sec csc22x+x. 9. If his the function given by ( ) ( ( )),hx f gx= where fx x() 3 1=2− and gx x()= , then ( )hx=. (A) 3x3−x(B) 31x2− (C) 31xx2− (D) 31x− (E) 31x2−. 10.Take our AP calculus AB practice exam. Our exam is full-length and simulates the actual exam. 100% free and no registration required. ... Multiple-choice: 16.7%: 45 minutes: 15: Section 2, Part A: Free-response: 16.7%: 30 minutes: 2: ... To score a 5 on the AP calc AB exam, you will need to answer 70% to 75% of the questions correctly. Is your ...Posted: April 28, 2021 in AP Calculus. 0. 2018 International Practice Exam AB FRQ. 2 Calculator FRQ 30 min. 4 No calculator FRQ 60 min.AP Calculus 2018 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part a During the time interval 0 t 300, Z 300 0 r(t)dt= 44 Z 300 0 t 100 3 1 t 300 7 dt= 270 (1) people enter the line for the escalator. (Fortunately, the problem is calculator active ...Show Step-by-step Solutions. AP Calculus BC 2017 Free Response Question 2. The figure above shows the polar curves r = f (θ) = 1 + sinθcos (2θ) and r = g (θ) = 2cosθ for 0 ≤ θ ≤ π/2. Let R be the region in the first quadrant bounded by the curve r = f (θ) and the x-axis. Let S be the region in the first quadrant bounded by the curve ...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 ...The AP Calculus AB 2018 MCQ exam is a standardized test administered by the College Board to assess students' understanding of the concepts and skills covered in the AP Calculus AB course. The exam consists of 45 multiple-choice questions and is designed to measure students' ability to apply their knowledge of calculus to solve problems.AP Calculus AB Multiple Choice 2018 Part A Questions And Answers. We apologize that the videos and solutions are no longer available. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.The equation above represents an elementary step in a chemical reaction. Which of the following is the correct expression for the rate law of the elementary step? r = k (NOBr)2. A balloon filled with 0.25 moles He (g) at 273K and 1.0 atm is allowed to rise through the atmosphere. Which of the following explains what happens to the volume of the ...2018 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. People enter a line for an escalator at a rate modeled by the function r given by ⎧ ⎪ t t. 3 7 ⎪⎪ 44 1 for 0 ££ t ⎪ ()(rt ()=⎨ 100 300− ) 300 ...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 … WebWhen an AP Exam is administered, psychometric analysis determines the score ranges corresponding with each AP Exam score (5, 4, 3, 2, and 1) based on a compositeAP Calculus AB 2022 Free Response Question 1. From 5 A.M. to 10 A.M., the rate at which vehicles arrive at a certain toll plaza is given by …. AP Calculus AB 2022 Free Response Question 2. Let f and g be the function defined by f (x) = ln (x + 3) and g (x) = x 4 + 2x 3. AP Calculus AB 2022 Free Response Question 3.Section I: Multiple-Choice Questions. This is the multiple-choice section of the 2016 AP exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) AP ® Calculus AB Exam. SECTION I: Multiple Choice 2016We appraise goods more highly when their positive attributes are emphasized, even if the details are the same. Just the other day I found myself in the waiting room of an automotiv...AP® Calculus AB 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.Section I of this exam contains 45 multiple-choice questions and 4 survey questions. For Part A, fill in only the circles for numbers 1 through 28 on page 2 of the answer sheet. For Part B, fill in only the circles for numbers 76 through 92 on page 3 of the answer sheet. The survey questions are numbers 93 through 96.The AP Calculus AB exam has two 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.D15. B Short explanations are given below for each AP calculus BC exam multiple choice problem. Problem 1 (B) t = 3 First, find the derivative of each component. Then set them both equal to zero and solve. The only t-value that makes both components equal to 0 is t = 3.Title: C:\homeschool\06 - Calculus\Practice Exam\AP Calculus Practice Exam and Solutions.wpd Author: Derek Created Date: 4/16/2015 8:30:44 PMB. The volume of a cube is increasing at the rate of 20 cubic centimeters per second. D) 8. Integral (sec^2x) (tan^2x)dx=. 1/3tan^3x+C. The table above gives values of a function y and it's derivative at selected values of x. A) 46. At particle moves along the x-axis so that it's position at any time.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.2008 answers to free response AP questions 2008 Multiple choice answers and solutions 2007 answers to free response AP questions ... Click here to see the solutions to the 2003 AP Multiple Choice questions [the questions are not included ... Mr. Calculus is a College Board endorsed AP* Calculus AB and AP* Calculus BC consultant and teaches at ...AP Calculus AB Multiple Choice 2018 Part A Questions And Answers. We apologize that the videos and solutions are no longer available. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.AP Calculus AB Exam Discussion - INTERNATIONAL. CollegeBoard has released a set of free response questions for Calculus AB: 2022 FRQ set. I got form I, the MCQ was ok but the FRQs were 💀💀. i left the last two FRQs blank and wrote complete BS for the first four. that paper was a joke.In 2013-2014 the district purchased textbooks the AP Calculus AB/BC courses. While the textbook wasn't 100% used in class and many materials were still supplemented it is a great resource for extra problems and explanations. It also has many good electronic resources that can help guide you through preparing for the exam.the multiple-choice questions in this exam. for the free-response questions in this exam. increasing at a rate of 1.35 cubic feet per minute per minute. ∫0 g ( t ) dt cubic feet. 61.749 (or 61.748) cubic feet. time t = 6. © 2018 The College Board. The position of the particle at time t = 2 is (1.461, 4.268 ) .AP Calculus AB Chapter 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the particular solution of the differential equation 3x + 20yy′ = 0 that satisfies the initial condition y = 5 when x = 2, where 3x2 +20y2 = C is the general solution. a. 3x2 + 20y2 = 504 b. 3x 2+ 20y = 155both AP teachers and college faculty. While multiple-choice questions are scored by machine, the free-response questions and through-course performance assessments, as applicable, are scored by thousands of college faculty and expert AP teachers. Most are scored at the annual AP Reading, while a small portion is scored online.The Evolution of the AP alculus A Test: 1955 - 2018 The Evolution of the AP alculus A Test: 1955 - 2018. y Scott ennett . S., Indiana State University, 2003 Thesis Submitted in partial fulfillment of the requirements For the Degree of Master of Science, With a Major in Mathematics Governors State University University Park, IL 60484 2019Cracking AP Calculus AB 2018_PREMIUM.indb. (A) 16. (B) 32. (C) 48. (D) 64. x. 2. −. 4. 26. Find. k. so that. f(x) = x. 24. Find the volume of the region formed by the curve y = x 2, the x-axis, and the line x = 3 when revolved around the y-axis. 9 (A) p≠. 27 (B) ≠p. 81 (C) ≠p. 243 (D) ≠p. 4 25. ∫. 0. 3 x dx = 16. ; x ≠. 4 −. k ; x = 4.Mar 18, 2017 ... AP Calculus AB: Multiple Choice Walkthrough - Sample Exam 1. 53K views · 7 years ago ...more. Stacey Roshan. 12.6K.. AP微积分AB 2018年真题 (选择题+问答题) AP Calculus AB 2018 Released Exam and Answ1. The density of a bacteria population in a cir 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. Show Video with Solutions Q15 - 22. Show Video with Solut 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. 36. 2012 The College Board. Visit the College Boa...

Continue Reading