2014 ap calc ab frq answers

2014 AB AP Calculus Free-Response Solutions and Notes Question AB-1 (a) The average rate of change is (30 0) ( ) 30 0 AA− − ­≈−0.197 pounds per day. (b) A′()15 ­≈−0.164 pounds per day. On day 15, the amount of grass clippings remaining in the bin is decreasing at the rate of 0.164 pounds per day.

AP Scoring Guidelines; 2018 AP Exam Administration; Advanced Placement; scoring information; scoring resources; exam resources; exam information; teacher resources; student resources; ADA Created Date Description: Welcome to Mathwired! I go over the released 2001 AP Calculus: AB FRQ. Whether you're in AP Calculus AB or AP Calculus BC, hopefully you'll find...Section I: Multiple Choice, 50% of exam score. No calculator: 30 questions (60 minutes) Calculator: 15 questions (45 minutes) Section II: Free Response, 50% of exam score. Calculator: 2 questions (30 minutes) No Calculator: 4 questions (60 minutes) For the free response section, each question is scored out of a total of nine points, and you ...AP Calculus AB 2014 Free Response Question 1 A graphing calculator is required for these problems. Grass clippings are placed in a bin, where they decompose. For 0 ≤ t ≤ 30, the amount of glass clippings remaining in the bin is modeled by A (t) = 6.687 (0.931) t, where A (t) is measured on pounds and t is measured in days.This 2014 AP® Calculus AB Free-Response Questions AP Test Prep is suitable for 10th - 12th Grade. Give classes a sneak peek at an upcoming test.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).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 Calculus AB Practice Exam ® From the 2014 Administration This Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting only. To maintain the security of this exam, teachers should collect all materials after ...

AP® Calculus AB 2006 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,000 schools, colleges, universities, and other ...AP Calculus BC Free Response. Questions 1998-2014. *Polar, Vector, and Parametric. 16. *Sequence and Series (Taylor & McLaurin). 16. Area and Volume. 12. *Slope ...AP Calculus BC Practice Exam F rom the 2 014 Administration This Practic e Exa m is provided by the Colleg e Boar d fo r AP Exam preparation . Teacher s ar e permitted to download the material s an d mak e copies to use wit h thei r student s in a classroo m settin g onl y. T o maintai n th e securit y of this exam , teacher s shoul d collec t al l material s …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 ...AP Calculus AB Sample Student Responses and Scoring Commentary Inside: Free Response Question 3 ... is both increasing and concave up and to give a reason for their answer. A correct response should demonstrate the …

15 .) Using correct units, interpret the meaning of the value in the context of the problem. (c) Find the time AP® Calculus AB 2011 Scoring Guidelines . The College Board . The College Board is a not-for-profit membership association whose mission is to connect students to college success and ... Give a reason for your answer. (b) Find the average velocity of the particle for the time period 06. ...Walkthrough of the 2023 AP Calculus AB FRQ #2Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-respon...AP Calculus AB Scoring Guide Unit 1 Practice Questions (Print) ... Using correct units, interpret the meaning of your answer in the context of this problem. AP® Calculus AB/BC 2022 Scoring Guidelines Part A (AB or BC): Graphing calculator required Question 1 9 points . General Scoring Notes The model solution is presented using standard mathematical notation. Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be

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AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part B. Try the free Mathway calculator and problem solver below to practice various math topics. …f f AP® CALCULUS AB 2019 SCORING GUIDELINES Question 6 (a) h 2 2 3 1 : answer (b) ax 9 x2 h x 3x3h x a 2 9 2 2 h 2 3 23h 2 36 4 24 2 160 3 1 : form of product rule 3 : 1 : ax 1 : a 2 (c) Because h is differentiable, h is continuous, so lim hx h 2 4AP Calculus AB Scoring Guidelines from the 2019 Exam Administration Keywords: AP Calculus AB Scoring Guidelines from the 2019 Exam Administration; scoring guidelines; …f f AP® CALCULUS AB 2019 SCORING GUIDELINES Question 6 (a) h 2 2 3 1 : answer (b) ax 9 x2 h x 3x3h x a 2 9 2 2 h 2 3 23h 2 36 4 24 2 160 2014 AP® CALCULUS (calculator AB FREE-RESPONSE active) QUESTIONS. 2. Let R be the region enclosed by the graph of f x x 4 2.3 x 3 4 and the horizontal line the figure above. The curves intersect when f (x) = 4 ⇒ Solve using your calculator: x = 0 and 2.3.and at what time does it occur? Justify your answer. (d) At what times in the interval 018 t, if any, is the car™s velocity equal to zero? Justify your answer. (a) Since va(2) (2) and a(2) 15 0 , the velocity is increasing at t = 2. 1 : answer and reason (b) At time t = 12 because 12 0 vv atdt(12) (0) ( ) 0 . 2 : 1 : 12 1 : reason t

By the Fundamental Theorem of Calculus, Z 2 6 f0(x)dx= f( 2) f( 6) = 7 f( 6). But the value of this integral is the area of a triangle whose base is four and whose altitude is two, so 7 f( 6) = 4, and f( 6) = 3. Similarly, Z 5 2 f0(x)dx= f(5) 7, while the value of this integral is the area of a triangle of base three, altitude two, less the ... methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be …1999 CALCULUS AB O x y y 4 y x2 2. The shaded region,R, is bounded by the graph of yx 2 and the line y 4, as shown in the figure above. (a) Find the area of R. (b) Find the volume of the solid generated by revolving R about the x-axis. (c) There exists a number kk,, 4 such that when R is revolved about the line y k, the resulting solid has the same volume as the …methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be …15 .) Using correct units, interpret the meaning of the value in the context of the problem. (c) Find the time The AP Calculus AB FRQ section requires you to use four "Mathematical Practices," or skills, as defined by the College Board. Here's how these practices are weighted on this …AP® Calculus AB 2002 Scoring Guidelines Form B These materials were produced by Educational Testing Service ® (ETS ), which develops and administers the examinations of the Advanced Placement Program for the College Board. The College Board and Educational Testing Service (ETS) are dedicated to the principle of equal opportunity, …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).2021 AP ® Calculus AB Sample Student Responses and Scoring Commentary Inside: Free Response Question 1 •• Scoring Guideline •• Student Samples •• Scoring Commentary 2014 AB AP Calculus Free-Response Solutions and Notes Question AB-1 (a) The average rate of change is (30 0) ( ) 30 0 AA− − ­≈−0.197 pounds per day. (b) A′()15 ­≈−0.164 pounds per day. On day 15, the amount of grass clippings remaining in the bin is decreasing at the rate of 0.164 pounds per day. 12 thg 2, 2018 ... AP® CALCULUS AB/CALCULUS BC. 2014 SCORING GUIDELINES. Question 1. Grass clippings are placed in a bin, where they decompose. For 0 ≤ t≤ 30 ...

Actual AP Calculus free response questions from 1999 to 2014. Also includes scoring guidelines, sample responses, and score distributions. Exam Prep Ideas ...

and at what time does it occur? Justify your answer. (d) At what times in the interval 018 t, if any, is the car™s velocity equal to zero? Justify your answer. (a) Since va(2) (2) and a(2) 15 0 , the velocity is increasing at t = 2. 1 : answer and reason (b) At time t = 12 because 12 0 vv atdt(12) (0) ( ) 0 . 2 : 1 : 12 1 : reason tThis Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and SOLUTION: Ap calculus ab exam 2014 with answers - StudypoolAP Calculus AB Scoring Guidelines from the 2019 Exam Administration Keywords: AP Calculus AB Scoring Guidelines from the 2019 Exam Administration; scoring guidelines; 2019 AP exam administration; teacher resources; exam resources; exam practice; exam scoring information; exam preparation; course prepaÇX Û/HßoÂò ´ Created Date0 (c) G ( 5 ) = 98.140764 < 100 At time t = 5, the rate at which unprocessed gravel is arriving is less than the rate at which it is being processed. Therefore, the amount of …The student earned 6 points: 2 points in part (a), 2 points in part (b), and 2 points in part (c). In part (a) the student presents the correct square of the outer radius, but the student does not present the correct square of the innerDescription: Welcome to Mathwired! I go over the released 2001 AP Calculus: AB FRQ. Whether you're in AP Calculus AB or AP Calculus BC, hopefully you'll find...2014 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS © 2014 The College Board. Here is what I have for FRQ#1 and 2. Here's a useful file too that has all of these ...2014 AP Calculus AB Practice Exam MCQ Multiple Choice Questions with Answers Advanced Placement.pdf ... 1989-1997 AP Calculus AB and BC Old FRQ with Solutions Advanced Placement.pdf | Plain Text ... in 1993 and 1994. • Graphing calculators have been required on the AP Calculus Exams since 1995. From 1995-1999, the calculator could be used on ...AP Calculus AB Practice Exam From the 2 014 Administration This Practic e Exa m is provided by the Colleg e Boar d fo r AP Exam preparation . Teacher s ar e permitted to download the material s an d mak e copies to use wit h thei r student s in a classroo m settin g onl y. T o maintai n th e securit y of this exam , teacher s shoul d collec t al l material s afte r thei r administratio n an d ...

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Prepare for the AP Calculus AB Exam with this PDF file that contains four free-response questions from the 2022 exam. You can practice your skills and review the scoring guidelines, sample responses, and scoring distributions from previous exams. This video covers part II, free response/short answer problem 3, on the 2014 AP Calculus AB exam. ViscaTheTeacher. 172 subscribers.2014 AP CALCULUS AB FREE-RESPONSE QUESTIONS © 2014 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE. -2 …1 : answer 2.3 (b) Volume = ⌠ 1 ⌡ ( − f ( x ) ) 2 dx 0 2 4 = 3 : 2 : integrand { 3.574 (or 3.573) : answer (c) ∫ k ( 2.3 4 − f ( x ) ) dx = ( ∫ 4 − f x dx ( ) ) 0 k : area of one region : { 1 : equation 2014 SCORING COMMENTARY Question 2 OverviewAP 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 ... The AP Calculus AB exam is divided into two sections with a total duration of three hours and 15 minutes. Each section carries equal weight when the College Board® calculates your overall score. Here’s a tabular summary of how the AP Calculus AB exam is structured: Section. Question Types.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 ...AP Calculus 2014 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 27, 2017 1 Problem 1 1.1 Part a We have A(t) = 6:687(0:931)t, where tis measured in days and A(t) is measured in pounds. So the average rate of change of A(t) over the interval 0 t 30 is A(30) A(0) 30 0 ˘ 0: ...correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Page 1. AP Calc AB 2019 Released FRQ Solutions. Page 2. Page 3. Page 4. Page 5. Page 6. ….

By the Fundamental Theorem of Calculus, Z 2 6 f0(x)dx= f( 2) f( 6) = 7 f( 6). But the value of this integral is the area of a triangle whose base is four and whose altitude is two, so 7 f( 6) = 4, and f( 6) = 3. Similarly, Z 5 2 f0(x)dx= f(5) 7, while the value of this integral is the area of a triangle of base three, altitude two, less the ... 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 Questions. 1 Multiple Choice: Section I, Part A 11 Multiple Choice: Section I, Part B 18 Free Response: Section II, Part A 20 Free Response: Section II, Part B 22 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 2014 curriculum framework available in this supplementary document. The sample exam questions illustrate the relationship between the . curriculum framework and the redesigned . AP Calculus AB Exam and AP Calculus BC Exam, and they serve as examples of the types of questions that appear on the exam.AP Calculus AB 2015 Free-Response Questions Author: ETS Subject: Free-Response Questions from the 2015 AP Calculus AB Exam. Keywords: exam; 2015; Free-Response Questions; Calculus AB Created Date: 2/16/2015 7:51:58 AM AP Calculus AB and AP Calculus BC Curriculum Framework, published in fall 2014. The . AP Calculus AB and AP Calculus BC Course and Exam Description , which is out now, includes that curriculum framework, along with a new, unique set of exam questions. Because we want teachers to have access to all availableAP Calculus 2014 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 27, 2017 1 Problem 1 1.1 Part a We have A(t) = 6:687(0:931)t, where tis measured in days and A(t) is measured in pounds. So the average rate of change of A(t) over the interval 0 t 30 is A(30) A(0) 30 0 ˘ 0: ... AP Calculus AB Questions. 1 Multiple Choice: Section I, Part A 11 Multiple Choice: Section I, Part B 18 Free Response: Section II, Part A 20 Free Response: Section II, Part B 22 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 2021 AP ® Calculus AB Sample Student Responses and Scoring Commentary Inside: Free Response Question 2 •• Scoring Guideline •• Student Samples •• Scoring Commentary 2014 ap calc ab frq answers, AP® Calculus AB/BC 2022 Scoring Guidelines . Part A (AB or BC): Graphing calculator required Question 1 9 points . General Scoring Notes . The model solution is presented using standard mathematical notation. Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be , AP ® Calculus AB Sample Student Responses and Scoring Commentary Inside: ... (AB or BC): Graphing calculator required ... Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding., AP Calculus AB 2021 Free-Response Questions Author: ETS Subject: Free-Response Questions from the 2021 AP Calculus AB Exam Keywords: Calculus AB; Free-Response Questions; 2021; exam resources; exam information; teaching resources; exam practice Created Date: 20190730140146Z , 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 Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part B. Try the free Mathway calculator and problem solver below to practice various math topics. …, May 14, 2020 · Welcome to Mathwired! I go over the released 2000 AP Calculus: AB FRQ. Whether you're in AP Calculus AB or AP Calculus BC, hopefully you'll find this video h... , 2022 AP Calculus AB Exam Free Response Question #2Full playlist: https://www.youtube.com/watch?v=9QeJBkrHlxA&list=PL6iwkLfBjZiz7vkRE1eBu9AxhU3fh8XEOarea & vo..., 5 thg 5, 2015 ... See the. 2014-15 AP Coordinator's Manual for exam seating ... AP® Calculus AB Exam. SECTION II: Free Response. 2015. DO NOT OPEN THIS ..., 0 (c) G ( 5 ) = 98.140764 < 100 At time t = 5, the rate at which unprocessed gravel is arriving is less than the rate at which it is being processed. Therefore, the amount of …, AP Calculus AB Scoring Guidelines, 2016 Author: The College Board Subject: AP Calculus AB Keywords: AP Calculus AB, Scoring Guidelines, 2016 exam, exam resources; teacher resources; exam preparation; scoring information Created Date: 7/15/2016 10:38:53 AM, 2014 AP® CALCULUS (calculator AB FREE-RESPONSE active) QUESTIONS. 2. Let R be the region enclosed by the graph of f x x 4 2.3 x 3 4 and the horizontal line the figure above. The curves intersect when f (x) = 4 ⇒ Solve using your calculator: x = 0 and 2.3., AP ® Calculus AB Sample Student Responses and Scoring Commentary Inside: ... (AB or BC): Graphing calculator required ... Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding., AP® Calculus AB 2011 Scoring Guidelines . The College Board . The College Board is a not-for-profit membership association whose mission is to connect students to college success and ... Give a reason for your answer. (b) Find the average velocity of the particle for the time period 06. ..., AP Calculus AB Scoring Guide Unit 3 Progress Check: FRQ Part B ... of these materials online or in print beyond your school’s participation in the program is prohibited. Page 1 of 8 1. NO CALCULATOR IS ALLOWED FOR THIS QUESTION. ... correctness and completeness of your methods as well as your answers. Answers without supporting work will ..., So this is approximately 5.09 and D of 3 is going to be approximately, let me get the calculator back out. So it is, We have -0.04 times 3 to the third power, so times 27, plus 0.4 times 9, times 9, t squared. plus 0.96 times t, times 3. …, Show Video with Solutions Q15 - 22. Show Video with Solutions Q23 - 24. Show Video with Solutions Q25 - 28. AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part B. Integrate. What is the slope of the line tangent to the graph of y = ln (2x) at the point where x = 4 ? If f (x) = 4x -2 + 1/4 x 2 + 4, then f' (2) =., AP Calculus AB Practice Exam ® From the 2014 Administration This Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting only. To maintain the security of this exam, teachers should collect all materials after ..., Welcome to Mathwired! I go over the released 2014 AP Calculus: AB FRQ. Whether you're in AP Calculus AB or AP Calculus BC, hopefully you'll find this video h..., The student earned 6 points: 2 points in part (a), 2 points in part (b), and 2 points in part (c). In part (a) the student presents the correct square of the outer radius, but the student does not present the correct square of the inner, 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..., AP® Calculus AB 2008 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,400 schools, colleges, universities, and other ..., 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..., 2014 AP Calculus Free Response Questions. 2014: AB-1; BC-1 Calculator. 2014: AB-2; Calculator. 171 2014 AP Calculus Free Response Questions 2014: BC-2; Calculator. 172 2014 AP Calculus Free Response Questions. 2014: AB-3; BC-3 No Calculator. 173 2014 AP Calculus Free Response Questions 2014: AB-4; BC-4 No Calculator. 174 2014 AP …, AP® Calculus AB 2004 Scoring Guidelines Form B The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. ... Show the computations that lead to your answer. Using correct units, explain the meaning of () 40 0, 2015 Frq Ap Calc Ab 2015 Frq Ap Calc AbAP®Calculus AB 2015 Scoring Guidelines © 2015 The College Board. 12 Confirming Continuity over an Interval., 2014 AP Calculus BC Scoring Worksheet. Section I: Multiple Choice. Number Correct. (out of 45) x 1.2000 = Section II: Free Response. Weighted Section 1 Score., AP Calculus 2014 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 27, 2017 1 Problem 1 1.1 Part a We have A(t) = 6:687(0:931)t, where tis measured in days and A(t) is measured in pounds. So the average rate of change of A(t) over the interval 0 t 30 is A(30) A(0) 30 0 ˘ 0: ..., Walkthrough of the 2023 AP Calculus AB FRQ #2Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-respon..., and at what time does it occur? Justify your answer. (d) At what times in the interval 018 t, if any, is the car™s velocity equal to zero? Justify your answer. (a) Since va(2) (2) and a(2) 15 0 , the velocity is increasing at t = 2. 1 : answer and reason (b) At time t = 12 because 12 0 vv atdt(12) (0) ( ) 0 . 2 : 1 : 12 1 : reason t, ImagineBeingBored 5:AB,BC,Stats,Phys1,Phys2,Bio,Lang,Psych • 1 yr. ago. The answer is -9.272. The area of the cross sections as a function of x was: A = (ln (x+3) - (x 4 + 2x 3))2 Now plugging this into the calculator as a derivative with respect to x would be easy, but we want to derivative to be with respect to TIME., Download free-response questions from past AP Calculus AB exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions. , AP Free Response (FRQ) 2007 #4. Derivation rules; derivatives on calculator ... Related rates, AP FRQ 2014, #6. Scoring guidelines & Student Samples. Scope ..., Welcome to Mathwired! I go over the released 2007 AP Calculus: AB FRQ. Whether you're in AP Calculus AB or AP Calculus BC, hopefully you'll find this video h...