/GS1 171 0 R endobj >> These materials are part of a College Board program. /MediaBox [ 0 0 612 792 ] /Resources 411 0 R /Rotate 0 /Font << 29 0 obj /Resources 504 0 R /Rotate 0 /Rotate 0 /StructParents 12 /StructParents 80 For the solid, each cross section perpendicular to the x-axis is a rectangle whose height is twice its width in the xy-plane. /Rotate 0 /Type /Catalog >> /Resources 585 0 R >> /Rotate 0 /Parent 1 0 R /Contents 503 0 R /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Resources 409 0 R /MediaBox [ 0 0 612 792 ] >> /CropBox [ 0 0 612 792 ] >> /GS1 170 0 R endobj /StructParents 32 /MediaBox [ 0 0 612 792 ] %PDF-1.4 D and 3.119. 33 0 obj endobj At what values of x does f have a relative maximum? This is a lot of time to work on it, however, I would . C) Using excess energy from a sunny day stored in batteries for power. /Rotate 0 /Contents 317 0 R endobj /Parent 1 0 R /Resources 374 0 R /Type /Page /Contents 4 0 R>> /StructParents 82 /Resources 320 0 R The rate of change of the volume V with respect to time t of water leaking from a tank is proportional to the cube of the volume. endobj /Type /Page YearNumber20126.320136.720147.020157.2, Year2016201720182019Number7.57.87.98.3\begin{array}{|l|c|c|c|c|} /StructParents 107 /Contents 348 0 R endobj \text { Alan } & 89 & 70 \\ /Contents 410 0 R /StructParents 61 << /Rotate 0 endobj endobj -15 -7 -1 1/ 18 /MediaBox [ 0 0 612 792 ] /StructParents 97 /Contents 325 0 R /Resources << /Rotate 0 /MediaBox [ 0 0 612 792 ] /Rotate 0 94 0 obj /Contents 319 0 R YearNumber20167.520177.820187.920198.3. /Type /Page << >> D. 0-A ((x+1)^2(x^2ln(1x^3)+1)^2) dx. 3 0 obj % /StructParents 19 What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^2, the y-axis, and the horizontal line y=1 is revolved about the y-axis? /Rotate 0 /StructParents 65 endobj /StructParents 154 /Parent 1 0 R >> >> /Parent 1 0 R The regions bounded by the graphs of y=x/2 and y= (sin x)^2 are shaded in the figure above. 2 0 obj Unit 8 Progress Check: MCQ Part B 5.0 (16 reviews) The base of a solid is the region in the first quadrant bounded by the x- and y-axes and the graph of y=3xx+1. 124 0 obj /MediaBox [ 0 0 612 792 ] /StructParents 42 /StructParents 70 /StructParents 93 /Rotate 0 /Resources 562 0 R /Resources 566 0 R /Font << /Type /Page /Contents 315 0 R Progress checkshelp you gauge student knowledge and skills for each unit through: My Reportshighlights progress for every student and class across AP units. /Resources << /StructParents 1 /Contents 554 0 R log351.465, log3(25)\log _ { 3 } \left( \frac { 2 } { 5 } \right) AP Physics 1 Unit 4 Progress Check B. (LogOut/ /Contents 610 0 R What is the volume of the solid generated when region M is revolved around the horizontal line y=1? >> /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /MediaBox [ 0 0 612 792 ] d) except in terms of both supply chain issues and employee issues. /MediaBox [ 0 0 612 792 ] >> /Parent 1 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. /Type /Page /Resources 683 0 R /C0_0 197 0 R /Parent 1 0 R /Contents 704 0 R endobj /Resources 278 0 R /Type /Page Lean applies to services: a) only in rare instances. endobj /StructParents 137 << /CropBox [ 0 0 612 792 ] Let f be the function defined by f(x)=x^2+1/x+1 with domain [0,). endobj Let f be the function given by f(x)=(x^2-9)/sinx on the closed interval [0,5]. /MediaBox [ 0 0 612 792 ] Therefore, earns both points. /Resources << /Parent 1 0 R /Resources 353 0 R /CropBox [ 0 0 612 792 ] /Resources 448 0 R The College Board. >> /Parent 1 0 R /Rotate 0 << /Type /Page /Resources 629 0 R << >> endobj >> endobj An article detailing activities to use in your calculus classroom. /Type /Page /Rotate 0 /StructParents 36 /Type /Page /CropBox [ 0 0 612 792 ] /Contents 313 0 R tu0m M;Z}_n~.>_.\_*g'~^~[:^|/"fL,kD-eYj**0Rcvn'_D6?Oj[]{Jc/x\?J/k/ojVVxdjQPm#&[29- /%u`[S?Z The question bank is a searchable database of real AP questions. /Type /Page /Type /Page /Contents 458 0 R /CropBox [ 0 0 612 792 ] endobj /Contents 640 0 R /Resources 574 0 R /Resources 696 0 R /Rotate 0 154 0 obj /GS0 170 0 R R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. /Rotate 0 /Type /Page << What is the volume of the solid? Let f be the function given by f(x)= sinxcosx/x^2-4 On the closed interval [-2pi, 2pi]. << Answer A: 0.537. >> f has two relative minima and one relative maximum. endobj /MediaBox [ 0 0 612 792 ] AP Calculus AB Scoring Guide Unit 6 Progress Check: MCQ Part A Let 1. << /Parent 1 0 R endobj Let R be the region in the first quadrant bounded by the graphs of y=x^2 and y=2x, as shown in the figure above. >> 155 0 obj /Parent 1 0 R /Rotate 0 18 0 obj 71 0 obj /Contents 4 0 R>> /Type /Page /StructParents 34 Kahn Academy (now has an AP Calculus AB option) Class Summaries: Date: Description: Links/Notes: Friday, Aug 23rd- Tues, Aug 27th: First day items . /ProcSet [ /PDF /Text ] /Parent 1 0 R 91 0 obj create custom quizzes that can be assigned online or on paper. Information about using graphing calculators on the AP Calculus Exams. Join. /Contents [ 162 0 R 163 0 R 164 0 R 165 0 R 166 0 R 167 0 R 168 0 R 169 0 R ] /Parent 1 0 R /Contents 489 0 R /Resources 517 0 R The derivative of the function f is given by f'(x)= sqrt(x) sin(3sqrt(3sqrt(x)) On which of the following intervals in [0,6pi] is f decreasing? /TrimBox [ 0 0 612 792 ] endobj >> << /Contents 300 0 R Which of the following statements is true for 1
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0 6$UdVj[k/Ck:D /Resources 369 0 R /StructParents 4 << /StructParents 60 /Type /Pages >> /Parent 1 0 R /Type /Page /MediaBox [ 0 0 612 792 ] Justifications require that yougive mathematical reasons, and that you verify the needed conditions under which relevanttheorems, properties, definitions, or tests are applied. endobj /Contents 290 0 R /MediaBox [ 0 0 612 792 ] endobj /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Type /Page /Rotate 0 >> >> /C0_1 204 0 R Jerome White, Lusher Charter School, New Orleans, La. /Contents 392 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] AP Calc Examination VI: non calculator multip, 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, Arthur David Snider, Edward B. Saff, R. Kent Nagle. /Rotate 0 /CropBox [ 0 0 612 792 ] <> /Type /Page endobj /CropBox [ 0 0 612 792 ] 4 0 obj Un examen. /CropBox [ 0 0 612 792 ] B) Wind turbines can be constructed on either vertical or horizontal axes. << >> Which of the following statements is true? The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. >> /Contents 614 0 R Which of the following is a differential equation that could describe this relationship? /Resources 357 0 R /MediaBox [ 0 0 612 792 ] YaBoiTalal. Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4 ? /StructParents 75 7. << /Type /Page /Rotate 0 /Parent 1 0 R >> /StructParents 118 management. /Type /Page Which of the following differential equations could be used to model the value of the car, where k is a constant? /Rotate 0 27 0 obj /Resources 395 0 R Which of the following is an environmental benefit associated with substituting ethanol for gasoline? /Parent 1 0 R 141 0 obj /MediaBox [ 0 0 612 792 ] /Resources 506 0 R 86 0 obj /Type /Page /Parent 1 0 R endobj At what times t, for 0> %PDF-1.3 >> /Type /Page >> The following poem was rst published In 1862. /Type /Page << endobj /Parent 1 0 R /Rotate 0 << /Parent 1 0 R endobj /MediaBox [ 0 0 612 792 ] What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and the vertical line x=2 is revolved about the x-axis? /Parent 1 0 R /Resources 349 0 R /Contents 552 0 R /Contents 501 0 R << /Type /Page /StructParents 46 /Contents 689 0 R endobj /MediaBox [ 0 0 612 792 ] /Type /Page For the solid, each cross section perpendicular to the x-axis is an equilateral triangle. /Type /Page << endobj /Resources 420 0 R /StructParents 57 endobj It is Thursday morning, May 24, and you will be taking either the AP Calculus AB Exam or the AP Calculus BC Exam. /StructParents 148 /MediaBox [ 0 0 612 792 ] /GS0 170 0 R /Type /Page /Contents 384 0 R /MediaBox [ 0 0 612 792 ] /Resources 287 0 R /Type /Page >> << >> /Rotate 0 /ProcSet [ /PDF /Text ] An article on the famous self-taught mathematicians puzzles and how one teacher used them at his school. 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. /Rotate 0 139 0 obj 161 0 obj /Contents 275 0 R >> /MediaBox [ 0 0 612 792 ] /Resources 283 0 R /StructParents 44 /Resources 351 0 R /Type /Page endobj Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. /StructParents 48 /StructParents 125 /Rotate 0 /Type /Page /Rotate 0 >> /StructParents 122 endobj The College Board. endobj 1997 AP Calculus AB Exam, Section 1 100 Part A 100 Part B 108 1997 AP Calculus BC Exam, Section 1 113 Part A 113 Part B 120 1998 AP Calculus AB Exam, Section 1 125 Part A 125 Part B 133 1998 AP Calculus BC Exam, Section 1 138 Part A 138 Part B 147 /Type /Page /CropBox [ 0 0 612 792 ] /Rotate 0 /CropBox [ 0 0 612 792 ] >> /CropBox [ 0 0 612 792 ] /Type /Page /Rotate 0 AP Calculus AB Scoring Guide Unit 2 Progress Check: FRQ Part B Copyright 2017. /Parent 1 0 R 44 0 obj /StructParents 89 151 0 obj << << Unit 4 MCQ AP Calc AB. /Contents 443 0 R /Contents 223 0 R 143 0 obj Expert Help. AP Calculus AB Scoring Guide Unit 6 Progress Check: MCQ Part B 1. /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Contents 645 0 R Which of the following is a solution to the differential equation xy3y=6 ? Vicki Carter, West Florence High School, Florence, S.C. Sarah Stecher, East Kentwood High School, Kentwood, Mich. Mark Howell, Gonzaga College High School, Washington, D.C. Teresita Lemus, School for Advanced Studies, West Campus, Miami, Fla. Tanya Hickson, Darnell-Cookman Middle/High School of the Medical Arts, Jacksonville, Fla. Tracy Bibelnieks, University of Minnesota, Duluth, Stephen Kokoska, Bloomsburg University of Pennsylvania. << 135 0 obj 82 0 obj Let f be the function given by f(x)=cos(x^2+x)+2 The derivative of f is given by f'(x)=-(2x+1)sin(x^2+x). /StructParents 146 /Rotate 0 /StructParents 136 /MediaBox [ 0 0 612 792 ] /Resources 482 0 R 17 0 obj >> stream /StructParents 49 /Type /Page /Rotate 0 /StructParents 25 /Type /Page /Rotate 0 /MediaBox [ 0 0 612 792 ] >> Whether youre teaching in person or online, these free, flexible online resources can keep your class on pace throughout the year. /CropBox [ 0 0 612 792 ] << /Type /Page >> >> /C0_2 179 0 R endobj >> >> /Parent 1 0 R Please help me with these Poetry multiple-choice questions. /Contents 475 0 R /Parent 1 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] >> /Rotate 0 /Resources 276 0 R 38 0 obj 59 0 obj >> /Resources 355 0 R /Type /Page /Rotate 0 23 0 obj /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] Guest lecturers include: The Faculty Lectures are available on theAP Classroom Course Resources page, under Overview, as well asYouTube. << /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Type /Page /StructParents 94 /Parent 1 0 R School DePaul College Prep; Let f be a differentiable function with f(3)=7 and f(3)=8. /Length 1264 126 0 obj !$*`qKIxzkvhqyQ2DL[UU{*?Tn]~*? 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B 4. /Contents 447 0 R endobj This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. /Type /Page MATHEMATICS. /CropBox [ 0 0 612 792 ] /Contents 440 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R /Rotate 0 152 0 obj /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Rotate 0 >> be the value of the right Riemann sum approximation for. << /Rotate 0 Six examples that illustrate common calculator errors and the importance of questioning calculator results. /MediaBox [ 0 0 612 792 ] /ArtBox [ 0 0 612 792 ] >> 65 0 obj >> Let S be the region in the second quadrant bounded by the graphs of y=x^2ln(1x^3) and y=x, as shown in the figure above. Repblica do Lbano, 2267 Ibirapuera - So Paulo - SP . /Type /Page endobj /Resources 617 0 R /Resources 418 0 R /Rotate 0 /Contents 282 0 R /BleedBox [ 0 0 612 792 ] << >> 127 0 obj endobj %PDF-1.4 A 2. cos(z+)=cosz\cos (z+\pi)=-\cos zcos(z+)=cosz, Identify the equation as a conditional equation, a contradiction, or an identity. /MediaBox [ 0 0 612 792 ] Students will complete Unit 5 Progress Check: MCQ Part C & FRQ Part A in My AP. << /StructParents 13 /Parent 1 0 R /Parent 1 0 R /Rotate 0 /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] >> /Parent 1 0 R Unit 5 Progress Check: MCQ Part B Copyright 2017. track to see which students are watching each video in each class. endobj Nwb_4F2KleW:[H-?/kjG-i)USb 6`6-.Fe=H%Q"v(71Sih6)#z4a%,"ijBz|H}G4^4)I_3c=. /CropBox [ 0 0 612 792 ] /Rotate 0 >> /MediaBox [ 0 0 612 792 ] Let R be the region in the first quadrant bounded by the graph of y=4e^x+2, the line x=1, and the x- and y-axes. /Resources 637 0 R SG Unit6ProgressCheckMCQPartA 608d8e13f37518 608d8e142c2de9 02817835.pdf. units Solution: Part C The response should include supporting work for the numerical answer of Select a point value to view scoring criteria, solutions, and/or examples and to score the response. /Rotate 0 endobj >> C) Geothermal energy can be harnessed without destroying large tracts of habitat, whereas solar farms require large amounts of space. /Parent 1 0 R 55 0 obj << 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. /StructParents 16 /CropBox [ 0 0 612 792 ] /Rotate 0 endobj Change). MCQ Part B by Tuesday morning 7:30 AM. /Resources 293 0 R /TrimBox [ 0 0 612 792 ] Let M be the region in the first quadrant bounded by the graph of y=3x+2, the graph of y=x+2, and the vertical line x=3. /Type /Page << /MediaBox [ 0 0 612 792 ] /Parent 1 0 R What is the sum of the areas of the shaded regions? endobj Then use the x-intercepts to match the equation with its graph. << /MediaBox [ 0 0 612 792 ] endobj What is the amount of bacteria in the dish at time t=6 ? /Rotate 0 147 0 obj /Type /Page >> /MediaBox [ 0 0 612 792 ] /Contents 584 0 R Wind energy is increasingly relied upon to help meet global energy needs. /Type /Page endobj /StructParents 79 114 0 obj /Contents 294 0 R /MediaBox [ 0 0 612 792 ] endobj endobj << /MediaBox [ 0 0 612 792 ] 89 0 obj /MediaBox [ 0 0 612 792 ] /Parent 1 0 R Which of the following is an expression for f(x) ? /StructParents 22 The base of a solid is the region in the first quadrant bounded by the x- and y-axes and the graph of y=3x/x+1. /Rotate 0 \hline \text { Number } & 6.3 & 6.7 & 7.0 & 7.2 \\ /Resources 480 0 R 19 0 obj Which of the following statements could be false? /Contents 358 0 R >> 156 0 obj c) except in terms of employee issues. multiple-choice questions with rationales explaining correct and incorrect answers, and. /Resources 397 0 R In this problem, 1/4 of a circle is used and triangles are used. b) except in terms of the supply chain. >> /Parent 1 0 R /CropBox [ 0 0 612 792 ] \text { Ed } & 96 & 98 121 0 obj d) except in terms of both supply chain issues and employee issues. 84 0 obj >> /StructParents 26 /CropBox [ 0 0 612 792 ] /StructParents 64 /CropBox [ 0 0 612 792 ] % /MediaBox [ 0 0 612 792 ] Which of the following gives the volume of the solid generated when S is revolved about the line y=1? endobj /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Resources 493 0 R AP Calculus AB Scoring Guide Unit 6 Progress Check: MCQ Part B 1. endobj 105 0 obj /Resources 694 0 R /Contents 340 0 R /Resources 345 0 R >> AP Calculus AB Unit 8 Progress Check: MCQ Part B The base of a solid is the region in the first quadrant bounded by the x- and y-axes and the graph of y=3x/x+1. If S denotes the number of students who have seen the program at time t, which of the following differential equations could be used to model this situation, where k is a positive constant? /Parent 1 0 R /StructParents 124 Explanation: A is correct because the definite integral can be determined by utilizes common geometric shapes and their area. >> C) Burning ethanol produces fewer air pollutants than burning gasoline alone. 128 0 obj /MediaBox [ 0 0 612 792 ] We go over 10 multiple choice. /Contents 321 0 R /Contents 225 0 R /StructParents 20 /Resources 572 0 R 157 0 obj /Resources 444 0 R /Parent 1 0 R /Type /Page /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] endobj << 66 0 obj The volume of the glacier is 400km^3 at time t=0. >> AP Calculus AB Final: Multiple Choice Questio. endobj [The graphs are labeled (a) through (f). /CropBox [ 0 0 612 792 ] 100 0 obj Below is a good link to review reading the derivative before completing Unit 5. reading-the-derivatives-graph. endobj >> 160 0 obj /C0_3 172 0 R /GS0 170 0 R /CropBox [ 0 0 612 792 ] /BleedBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Resources 297 0 R Which of the following is required to convert geothermal energy into electricity? /StructParents 73 }]9-tj1~1hmovhr%T jL/J|9~vfRsUcH]e:6}. For the solid, each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the y-axis and one leg in the xy-plane. << Geothermal energy is used to run large and complex power stations as well as small and relatively simple pumping systems. >> 150 0 obj /Parent 1 0 R /Type /Page Which of the following identifies the air pollutants most commonly released during the burning of biomass? /Type /Page /Type /Page endobj 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. /Rotate 0 /Contents 387 0 R << /Contents 404 0 R >> /Contents 334 0 R /Contents 454 0 R In a moment, you will open the packet that contains your exam materials. 43 0 obj endobj /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] Then give the solution set. /StructParents 143 /Parent 1 0 R 16 terms. endobj /Annots 219 0 R /CropBox [ 0 0 612 792 ] /Type /Page /StructParents 134 Ht6W)Q, A /CropBox [ 0 0 612 792 ] /StructParents 14 >> /MediaBox [ 0 0 612 792 ] Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, David R. Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams, Fundamentals of Engineering Economic Analysis, David Besanko, Mark Shanley, Scott Schaefer, Alexander Holmes, Barbara Illowsky, Susan Dean. endobj /Resources 681 0 R /CropBox [ 0 0 612 792 ] << << /Parent 1 0 R /Resources 407 0 R /Rotate 0 << >> /CropBox [ 0 0 612 792 ] /ExtGState << >> /Rotate 0 >> /Parent 1 0 R >> /Type /Page /Type /Page 62 0 obj /Resources 312 0 R /Parent 1 0 R /Resources 582 0 R >> /CropBox [ 0 0 612 792 ] /C0_2 179 0 R Virge Cornelius, Lafayette High School, Oxford, Miss.