/Resources 566 0 R Page 8 of 8 AThe function has a relative maximum at . Numerical answers must be accurate to three places after the decimal point and may be rounded or truncated. << /CropBox [ 0 0 612 792 ] 7. /Parent 1 0 R /StructParents 148 \hline \text { Rob } & 73 & 87 \\ Let R be the region bounded by the graph of y=2x2, the horizontal line y=2, and the vertical line x=1. /Contents 394 0 R /Parent 1 0 R /C0_0 197 0 R /StructParents 48 /Contents 415 0 R Without applying the Change of Base Formula. B 4. endobj << 71 0 obj >> endobj /MediaBox [ 0 0 612 792 ] 106 0 obj /Rotate 0 /StructParents 7 The College Board. /Type /Page What is the volume of the solid? AP Calculus AB Scoring Guide Unit 6 Progress Check: FRQ Part A Copyright 2017. /Contents 292 0 R /Parent 1 0 R /ExtGState << /MediaBox [ 0 0 612 792 ] /GS0 170 0 R 87 0 obj /Resources 297 0 R 49 0 obj >> 96 0 obj /Kids [ 4 0 R 5 0 R 6 0 R 7 0 R 8 0 R 9 0 R 10 0 R 11 0 R 12 0 R 13 0 R 14 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R 27 0 R 28 0 R 29 0 R 30 0 R 31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R 39 0 R 40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R 48 0 R 49 0 R 50 0 R 51 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R 58 0 R 59 0 R 60 0 R 61 0 R 62 0 R 63 0 R 64 0 R 65 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R 75 0 R 76 0 R 77 0 R 78 0 R 79 0 R 80 0 R 81 0 R 82 0 R 83 0 R 84 0 R 85 0 R 86 0 R 87 0 R 88 0 R 89 0 R 90 0 R 91 0 R 92 0 R 93 0 R 94 0 R 95 0 R 96 0 R 97 0 R 98 0 R 99 0 R 100 0 R 101 0 R 102 0 R 103 0 R 104 0 R 105 0 R 106 0 R 107 0 R 108 0 R 109 0 R 110 0 R 111 0 R 112 0 R 113 0 R 114 0 R 115 0 R 116 0 R 117 0 R 118 0 R 119 0 R 120 0 R 121 0 R 122 0 R 123 0 R 124 0 R 125 0 R 126 0 R 127 0 R 128 0 R 129 0 R 130 0 R 131 0 R 132 0 R 133 0 R 134 0 R 135 0 R 136 0 R 137 0 R 138 0 R 139 0 R 140 0 R 141 0 R 142 0 R 143 0 R 144 0 R 145 0 R 146 0 R 147 0 R 148 0 R 149 0 R 150 0 R 151 0 R 152 0 R 153 0 R 154 0 R 155 0 R 156 0 R 157 0 R 158 0 R 159 0 R 160 0 R 161 0 R ] /MediaBox [ 0 0 612 792 ] << /Font << /Resources 316 0 R /Type /Page << /MediaBox [ 0 0 612 792 ] /Type /Page B 2.297. 156 0 obj /MediaBox [ 0 0 612 792 ] /StructParents 58 /StructParents 27 In this problem, 1/4 of a circle is used and triangles are used. /StructParents 99 >> /MediaBox [ 0 0 612 792 ] /Contents 449 0 R /CropBox [ 0 0 612 792 ] The region R is the base of a solid. /Rotate 0 << /Contents 678 0 R /Rotate 0 >> 27 0 obj 18 0 obj endobj calculus. endobj /Resources 520 0 R endobj << /Resources 330 0 R << katedickinson3. /MediaBox [ 0 0 612 792 ] /Rotate 0 /Type /Page >> /Parent 1 0 R /Contents 392 0 R /Resources 690 0 R 7 0 obj /GS0 170 0 R 136 0 obj /Parent 1 0 R 97 0 obj endobj About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . /CropBox [ 0 0 612 792 ] /StructParents 136 >> /Type /Page 14 0 obj 63 0 obj Let R be the region bounded by the graph of y=lnx, the horizontal line y=1, and the vertical line x=1, as shown in the figure above. Which of the following differential equations could be used to model the value of the car, where k is a constant? /Rotate 0 endobj 162 0 obj >> Elementary Differential Equations and Boundary Value Problems, Douglas B. Meade, Richard C. Diprima, William E. Boyce, Differential Equations with Boundary-Value Problems, Equaes Diferenciais Elementares e Problemas de Valores de Contorno. /StructParents 6 /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 << /Type /Page YearNumber20126.320136.720147.020157.2, Year2016201720182019Number7.57.87.98.3\begin{array}{|l|c|c|c|c|} << /StructParents 57 128 0 obj /MediaBox [ 0 0 612 792 ] /Type /Page endobj /Resources << /CropBox [ 0 0 612 792 ] /Parent 1 0 R /StructParents 90 >> << << >> 141 0 obj /MediaBox [ 0 0 612 792 ] endobj /Parent 1 0 R /Parent 1 0 R >> /Contents 655 0 R << endobj (LogOut/ Part B The first point is earned for correctly presenting the form of the trapezoidal approximation. 10 0 obj At time t=2, the amount of bacteria in the dish is 30 grams. 41 0 obj /StructParents 151 /Count 158 /Parent 1 0 R /Parent 1 0 R Which of the following are often used for energy storage of wind power? << xr6GF }sWjmRrh!kfxhr IjK%h vJ*tM^L'|=7/1r}TO`7# c *2T%Yla|'oF2lmwM gDWGMF,dO fG@5+(yA*oQgwYk%PRgl pt(A+;:uv /StructParents 61 /Rotate 0 SG Unit6ProgressCheckMCQPartA 608d8e13f37518 608d8e142c2de9 02817835.pdf. endobj /MediaBox [ 0 0 612 792 ] /Contents 354 0 R Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. /Contents 634 0 R C) Burning ethanol produces fewer air pollutants than burning gasoline alone. endobj /Rotate 0 << Shown above is a slope field for which of the following differential equations? 35 0 obj Of the following intervals, on which can the Mean Value Theorem be applied to f? /MediaBox [ 0 0 612 792 ] \text { Ed } & 96 & 98 /Parent 1 0 R /MediaBox [ 0 0 612 792 ] << /Parent 1 0 R << /Annots 186 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 /StructParents 152 Which of the following statements is true for 1> >> Riemann sum with two intervals of equal length is used to approximate. For the solid, each cross section perpendicular to the x-axis is a square. >> /Resources 335 0 R tu0m M;Z}_n~.>_.\_*g'~^~[:^|/"fL,kD-eYj**0Rcvn'_D6?Oj[]{Jc/x\?J/k/ojVVxdjQPm#&[29- /%u`[S?Z /Resources 656 0 R endobj /MediaBox [ 0 0 612 792 ] /Resources 474 0 R /StructParents 114 /StructParents 127 /Type /Catalog /CropBox [ 0 0 612 792 ] /Parent 1 0 R /Contents 512 0 R /Resources 476 0 R Let f be the function defined by f(x)=x33x226x. /Rotate 0 /ArtBox [ 0 0 612 792 ] Click the card to flip << /Rotate 0 /Resources 314 0 R /MediaBox [ 0 0 612 792 ] /Rotate 0 /MediaBox [ 0 0 612 792 ] Let be the function given by . >> The rate of change of the car's value in dollars per year is proportional to the car's value. &C^EqMJHHO 'S*GRsH&Y[cK54sVTO%#+s4FEk2_`"o_)H b8)A[EusCn6i IaNK|/'Yr]:fvu9?ZVy_%}+%33j-eO(z ^E?:3;Uzh6jHRlh7@Tflii7(37n99QP\e)>^`{IfgZy=8xgW(4k&3Ol6DTy]j:uGNxqQ]+UuK1. /Contents 642 0 R << /StructParents 109 /StructParents 144 /MediaBox [ 0 0 612 792 ] /Resources 283 0 R 113 0 obj /CropBox [ 0 0 612 792 ] /Rotate 0 /Parent 1 0 R unit 3 progress check mcq ap spanishryanair manchester airport. Image from Wikimedia Commons. /Type /Page >> /Type /Page 84 0 obj 56 0 obj The seconds. >> >> /MediaBox [ 0 0 612 792 ] /Type /Page Let be the function given by . Question: CollegeBoard AP Classroom Unit 7 Progress Check: MCQ 5 6 (10) 11 12 13 Question 70 of the following, which is not a solution to the differential equation y . 77 0 obj << /Type /Page C 6. Which of the following statements could be false? Guest lecturers include: The Faculty Lectures are available on theAP Classroom Course Resources page, under Overview, as well asYouTube. Bashir collected 413\frac{1}{3}31 baskets of peaches at an orchard. /MediaBox [ 0 0 612 792 ] Jerome White, Lusher Charter School, New Orleans, La. << /Resources 617 0 R The concentration of a certain element in the water supply of a town is modeled by the function f, where f(t) is measured in parts per billion and t is measured in years. /Rotate 0 /Rotate 0 /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Resources 515 0 R Explains how sign charts should be used throughout the course and on the exam. >> /MediaBox [ 0 0 612 792 ] 144 0 obj /CropBox [ 0 0 612 792 ] /Type /Page Also shown is a portion of the graph of f. What is the value of limf f(x)) ? 95 0 obj >> /Contents 693 0 R endobj 124 0 obj /CropBox [ 0 0 612 792 ] /Resources 511 0 R B. /Resources 504 0 R /CropBox [ 0 0 612 792 ] /Resources 318 0 R For what value of , if any, is continuous at ? << /MediaBox [ 0 0 612 792 ] Let f be the function defined by f(x)=3x^336x+6 for 4> %PDF-1.4 What is the value of f(2) ? stream /MediaBox [ 0 0 612 792 ] >> >> << /Parent 1 0 R /Parent 1 0 R >> << endobj 45 multiple-choice, 6 free-response: AP Calculus AB Practice Problems: 45 multiple-choice, 6 free-response . /ExtGState << /StructParents 132 AP resources are designed to support all students and teacherswith daily instruction, practice, and feedback to help cover and connect content and skillsin any learning environment. endobj /MediaBox [ 0 0 612 792 ] /Parent 1 0 R endobj /StructParents 121 /MediaBox [ 0 0 612 792 ] Shown above is the slope field for which of the following differential equations? /Type /Page /Parent 1 0 R 76 0 obj << /MediaBox [ 0 0 612 792 ] /Contents 286 0 R /Parent 1 0 R 16 0 obj [The graphs are labeled (a) through (f). 139 0 obj /Rotate 0 /MediaBox [ 0 0 612 792 ] /Rotate 0 /Resources 582 0 R 31 0 obj Virge Cornelius, Lafayette High School, Oxford, Miss. /Resources 649 0 R Sign in to AP Classroomand explore these resources: AP Daily videosare short, searchable instructional segments you can: Topic questionsare formative questions to check student understanding as you teach. Justifications require that yougive mathematical reasons, and that you verify the needed conditions under which relevanttheorems, properties, definitions, or tests are applied. /Rotate 0 /Contents 471 0 R /CropBox [ 0 0 612 792 ] >> The right endpoints of the subintervals used in the Riemann sum would be of the form from 1 to for Therefore, The derivative of f is given by f'(x ) = cos ( Tix) + x + 6 ( a ) find f ( 3 ) ( b) Write an equation for the line tangent to the graph of y= (F(x ) at X. /Resources 291 0 R Out of a total of N students at a school, the number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program. /Contents 475 0 R /Type /Page /Resources 621 0 R /Type /Page 114 0 obj 10. /StructParents 130 /Contents 496 0 R /Type /Page /MediaBox [ 0 0 612 792 ] /Resources 564 0 R /CropBox [ 0 0 612 792 ] 55 0 obj /Resources 295 0 R /MediaBox [ 0 0 612 792 ] /Type /Page /Parent 1 0 R << << /CropBox [ 0 0 612 792 ] 131 0 obj /StructParents 125 /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] >> 65 0 obj << endobj /StructParents 63 Progress checkshelp you gauge student knowledge and skills for each unit through: My Reportshighlights progress for every student and class across AP units. endobj /StructParents 22 /Parent 1 0 R /Rotate 0 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /Type /Page What is the volume of the solid? /CropBox [ 0 0 612 792 ] /StructParents 146 endobj AP Calculus AB Test Review Unit 6 Multiple Choice Questions - YouTube We go over 10 multiple choice questions from Unit 6 of Calculus AB. Facts about the test: The AP Calculus exam has two sections of multiple choice: 30 questions in 60 minutes with no calculator, and 15 questions in 45 minutes with a calculator. /Contents 358 0 R /CropBox [ 0 0 612 792 ] << >> /Parent 1 0 R << Which of the following best explains energy transformation in hydrogen fuel cells? /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Resources << 22 0 obj %PDF-1.4 74 0 obj d) except in terms of both supply chain issues and employee issues. /GS0 170 0 R << /MediaBox [ 0 0 612 792 ] /Resources 643 0 R /Resources 287 0 R /Parent 1 0 R endobj The Personal Progress Checks (PPC) that are assigned online for this course through the student's College Board account are to be completed on time; exceptions will not be made. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); College Algebra instructional Videos with Dana, Finding Your Way Around The Graphing Calculator, Precalculus with Limits : A Graphing Approach, Fifth Edition, Complete List of FREE ACT Math Practice Questions, First Internet Gallery of Statistics Jokes, FRQ Must be complete by Monday, 3/23 7:30 AM. >> << /Rotate 0 << /Parent 1 0 R << << endobj /StructParents 40 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /StructParents 51 /Type /Page /Type /Page /Type /Page @0d 98,HH94|9`H:vq:3 4bNr1'WoA3GMEN/c~u5a,9Eu[YuVAv6C O;kxj >o`V]O?0Hw5oC>hLX'9f,19;0abD KG|^JjK%a << For the solid, each cross section perpendicular to the x-axis is a rectangle whose height is twice its width in the xy-plane. endobj /Type /Page /StructParents 70 /Contents 350 0 R 42 0 obj /StructParents 26 << /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] xYn7Ln$m- /StructParents 92 >> /Contents 576 0 R /Contents 404 0 R /Resources 470 0 R 91 0 obj << /Type /Page >> 60 0 obj /Contents 375 0 R >> /StructParents 138 /BleedBox [ 0 0 612 792 ] /Parent 1 0 R /Parent 1 0 R /Type /Page /Rotate 0 Which of the following best describes a potential advantage of using geothermal energy instead of solar farms for power generation? /Rotate 0 /Rotate 0 /Type /Page << endobj /MediaBox [ 0 0 612 792 ] What is the amount of bacteria in the dish at time t=6 ? /Type /Page /Parent 1 0 R /StructParents 86 /Resources 369 0 R /StructParents 11 /MediaBox [ 0 0 612 792 ] /Contents 650 0 R /StructParents 55 >> 115 0 obj Wind energy can be used to generate electricity using wind turbines. /Contents 356 0 R Let f be a function with first derivative given by f(x)=(x+1)(x2)(x3). If each basket holds 21 peaches, how many peaches did he collect in all? endobj /Parent 1 0 R /Resources 299 0 R /Type /Page endobj /MediaBox [ 0 0 612 792 ] >> /Type /Page /StructParents 149 /StructParents 67 /StructParents 17 /MediaBox [ 0 0 612 792 ] << /Parent 1 0 R /CropBox [ 0 0 612 792 ] /StructParents 82 /Rotate 0 /MediaBox [ 0 0 612 792 ] 5 0 obj C) Geothermal energy can be harnessed without destroying large tracts of habitat, whereas solar farms require large amounts of space. endobj /MediaBox [ 0 0 612 792 ] The following poem was rst published In 1862. >> Rectangle slices will always be __________ to the axis of revolution, Pi (integration) (furthest-axis of rev)^2 - (closest-axis of rev)^2 dx, AP Calculus AB Final: Multiple Choice Questio, Calculus for Business, Economics, Life Sciences and Social Sciences, Karl E. Byleen, Michael R. Ziegler, Michae Ziegler, Raymond A. Barnett, Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability, Daniel K. Clegg, James Stewart, Saleem Watson. 15 terms. /Resources 480 0 R >> . >> /CropBox [ 0 0 612 792 ] /Contents 485 0 R 137 0 obj endobj Which of the following statements is true? endobj /Resources 378 0 R endobj /Contents 338 0 R /Contents 218 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] << /Type /Page /MediaBox [ 0 0 612 792 ] \text { STUDENT } & \text { MATHEMATICS TEST SCORE } & \text { READING TEST SCORE } \\ << endobj << /Rotate 0 /Resources 459 0 R 154 0 obj >> /Type /Page /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] endobj /Rotate 0 >> /MediaBox [ 0 0 612 792 ] /Rotate 0 /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R 61 0 obj 24 0 obj << AP Physics 1 Unit 6 Progress Check. /CropBox [ 0 0 612 792 ] /BleedBox [ 0 0 612 792 ] /C0_1 204 0 R A state is looking to reduce the cost of transportation, which uses 7.101014 BTUs per year. >> /MediaBox [ 0 0 612 792 ] 2. Wind energy is increasingly relied upon to help meet global energy needs. ], y=x2x16y = x ^ { - 2 } - x ^ { - 1 } - 6 This 2008 curriculum module provides lessons, activities, and worksheets for you to use as you teach this topic. Of the following, which is not a solution to the differential equation y+4y=0? << /Resources 293 0 R \hline \text { Number } & 6.3 & 6.7 & 7.0 & 7.2 \\ The domain of f is not a closed and bounded interval. /Resources 388 0 R /Type /Page /StructParents 30 /StructParents 59 105 0 obj >> /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Resources 328 0 R /Parent 1 0 R << /Resources 343 0 R >> /StructParents 116 /MediaBox [ 0 0 612 792 ] /Resources 305 0 R Which of the following gives the volume of the solid generated when region R is revolved about the vertical line x=1? >> /Type /Page >> These materials are part of a College Board program. /ArtBox [ 0 0 612 792 ] Change). /StructParents 15 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R << /Type /Page About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Parent 1 0 R << /Contents 686 0 R