For the solid, each cross-section perpendicular to the x-axis is a rectangle whose height is twice its width in the xy-plane. explain how to use, log320.631\log _ { 3 } 2 \approx 0.631 /Contents 631 0 R The region R is the base of a solid. /Parent 1 0 R >> endobj /Resources 335 0 R /Type /Page 194. endobj /Parent 1 0 R >> /StructParents 81 /Type /Page 162 0 obj << endobj /Type /Page /CropBox [ 0 0 612 792 ] >> /MediaBox [ 0 0 612 792 ] >> An article detailing activities to use in your calculus classroom. /Parent 1 0 R Selected values of a continuous function f are given in the table above. /Resources 397 0 R /C0_2 179 0 R /MediaBox [ 0 0 612 792 ] 89 0 obj /StructParents 98 /MediaBox [ 0 0 612 792 ] /Rotate 0 Change). D. 0-A ((x+1)^2(x^2ln(1x^3)+1)^2) dx. /StructParents 71 /Rotate 0 /Type /Page /CropBox [ 0 0 612 792 ] << /StructParents 77 /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] >> /Rotate 0 /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] Which of the following would be the estimated cost savings for the homeowner in a year if she replaces Refrigerator A with Refrigerator B? /Type /Page endobj /CropBox [ 0 0 612 792 ] 36 0 obj /Rotate 0 Nwb_4F2KleW:[H-?/kjG-i)USb 6`6-.Fe=H%Q"v(71Sih6)#z4a%,"ijBz|H}G4^4)I_3c=. Repblica do Lbano, 2267 Ibirapuera - So Paulo - SP . /Rotate 0 << /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Type /Page >> << /MediaBox [ 0 0 612 792 ] /Rotate 0 Let be the function given by . C 6. << /Parent 1 0 R The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. /Type /Page /Parent 1 0 R /Contents 682 0 R >> << >> /Rotate 0 /ProcSet [ /PDF /Text ] /Contents 469 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R /StructParents 49 << /MediaBox [ 0 0 612 792 ] /Resources 641 0 R /Parent 1 0 R /MediaBox [ 0 0 612 792 ] >> Why does this not contradict the Extreme Value Theorem? endobj /StructParents 22 /Rotate 0 /Contents 645 0 R %PDF-1.4 125 0 obj << /Rotate 0 <> >> /Resources 453 0 R /CropBox [ 0 0 612 792 ] 6 0 obj /Parent 1 0 R /MediaBox [ 0 0 612 792 ] 131 0 obj /Rotate 0 >> >> /C0_2 179 0 R /CropBox [ 0 0 612 792 ] /StructParents 122 /Type /Page /Contents 650 0 R The motor needs to run an average of 12 hours per day, every day, to stay at a constant, cold temperature. 101 0 obj /Contents 452 0 R /Contents 401 0 R 41 0 obj /CropBox [ 0 0 612 792 ] /Resources 402 0 R endobj Use or distribution of these materials online or in print beyond your school's participation in the program is prohibited. /GS0 170 0 R >> endobj /Type /Page /CropBox [ 0 0 612 792 ] /Parent 1 0 R 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? /CropBox [ 0 0 612 792 ] /Type /Page >> /MediaBox [ 0 0 612 792 ] /StructParents 24 /Rotate 0 >> /Contents 352 0 R /Contents 394 0 R >> Let be. . /Rotate 0 be the value of the right Riemann sum approximation for. What is the volume of the solid? 4 0 obj /Contents 623 0 R 129 0 obj >> /Contents 563 0 R << /Contents 565 0 R /Type /Page /Type /Page The regions bounded by the graphs of y=x/2 and y= (sin x)^2 are shaded in the figure above. endobj >> /Parent 1 0 R endobj /MediaBox [ 0 0 612 792 ] /Parent 1 0 R 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. /MediaBox [ 0 0 612 792 ] << /Contents 223 0 R >> /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /StructParents 21 >> Verified questions. 154 0 obj /Parent 1 0 R >> endobj /StructParents 43 /C0_0 197 0 R /StructParents 146 /Type /Page These materials are part of a College Board program. /Resources 671 0 R << I think three times is enough. /CropBox [ 0 0 612 792 ] endobj /C0_0 197 0 R /StructParents 152 /StructParents 99 /Type /Page /Resources 322 0 R /CropBox [ 0 0 612 792 ] /GS1 171 0 R >> Expert Help. /Resources 551 0 R 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. /Contents 358 0 R /Resources 692 0 R /Parent 1 0 R /C0_4 190 0 R /CropBox [ 0 0 612 792 ] At time t=0, the amount of bacteria in the dish is 10 grams. /StructParents 38 /MediaBox [ 0 0 612 792 ] /C0_2 179 0 R /Resources 347 0 R D There is no such . /StructParents 62 105 0 obj /Parent 1 0 R /StructParents 47 /Resources 395 0 R /Contents 336 0 R << endobj >> /Type /Page Which of the following could be a slope field for the differential equation dydx=y3x ? >> /Type /Page /Rotate 0 /Rotate 0 /Parent 1 0 R On which open intervals is f decreasing? /Type /Page The rate of change of the car's value in dollars per year is proportional to the car's value. 138 0 obj 97 0 obj endobj /Parent 1 0 R /MediaBox [ 0 0 612 792 ] 100 0 obj /Type /Page /Type /Page /Resources 316 0 R 132 0 obj How much will the state save in one year if they implement regulations requiring all transportation methods to be 20% more efficient? Study Resources. /Type /Page J-+e93X#! Which of the following is required to convert geothermal energy into electricity? Which of the following is an environmental benefit associated with substituting ethanol for gasoline? /StructParents 27 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /CropBox [ 0 0 612 792 ] /StructParents 41 STUDENTRobDougMyronAlanEdMATHEMATICSTESTSCORE7383628996READINGTESTSCORE8758907098. /CropBox [ 0 0 612 792 ] /Contents 317 0 R /Type /Page /Resources 696 0 R /MediaBox [ 0 0 612 792 ] Numerical answers must be accurate to three places after the decimal point and may be rounded or truncated. << /Rotate 0 69 0 obj /Rotate 0 /Type /Page /Rotate 0 C) Burning ethanol produces fewer air pollutants than burning gasoline alone. /Type /Page /CropBox [ 0 0 612 792 ] /Rotate 0 What is the volume of the solid generated when region M is revolved around the horizontal line y=1? /CropBox [ 0 0 612 792 ] /Resources 476 0 R [The graphs are labeled (a) through (f). 61 0 obj /Parent 1 0 R /StructParents 10 /Type /Page << /Type /Page /Annots 211 0 R /Contents 189 0 R /Contents 224 0 R 2 Part A: Free-response . /StructParents 138 /Contents 605 0 R /Parent 1 0 R beyond your schools participation in the program is prohibited. >> endobj >> /ExtGState << For the solid, each cross section perpendicular to the x-axis is a square. Read the following poem carefully before you choose your answers. /Contents 552 0 R endobj /Contents 648 0 R 111 0 obj << >> /CropBox [ 0 0 612 792 ] What is the value of f(2) ? /Resources << /Resources 617 0 R /Type /Page /Parent 1 0 R /Parent 1 0 R 99 0 obj These AP Calculus Workshop materials from 2006-2007 focus on developing understanding, and teach this specific topic. 130 0 obj /Resources 374 0 R /MediaBox [ 0 0 612 792 ] /TrimBox [ 0 0 612 792 ] /Parent 1 0 R /Contents 676 0 R /Resources 626 0 R << Verified answer. /Type /Page >> /C0_3 172 0 R Click the card to flip << /StructParents 32 >> /MediaBox [ 0 0 612 792 ] STUDENTMATHEMATICSTESTSCOREREADINGTESTSCORERob7387Doug8358Myron6290Alan8970Ed9698\begin{array}{lcc} >> endobj /Parent 1 0 R Riemann sum with two intervals of equal length is used to approximate. /Rotate 0 /Resources 606 0 R 59 0 obj 150 0 obj >> Although this article does not reflect the 2019-20 updates, it remains a helpful resource. Copyright 2021. /Contents 447 0 R >> /Parent 1 0 R 17 0 obj /Type /Page /TrimBox [ 0 0 612 792 ] << /StructParents 132 Let R be the region enclosed by the graphs of y=5xx^4 and the horizontal line y=3/2 The x-coordinates of the points of intersection of the graphs are x1 and x2, where x1> >> << The question bankis a searchable database of real AP questions. /CropBox [ 0 0 612 792 ] YearNumber20126.320136.720147.020157.2, Year2016201720182019Number7.57.87.98.3\begin{array}{|l|c|c|c|c|} /Type /Page \hline \text { Year } & 2012 & 2013 & 2014 & 2015 \\ /Rotate 0 /Rotate 0 /Contents 382 0 R Let y=f(x) be the particular solution to the differential equation dy/dx=3x^21/2y with the initial condition f(1)=4. /Rotate 0 >> /Parent 1 0 R << katedickinson3. /StructParents 53 /Contents 368 0 R 94 0 obj \hline \text { Rob } & 73 & 87 \\ /Type /Page /StructParents 3 endobj Of the following, which is not a solution to the differential equation y+4y=0? /ArtBox [ 0 0 612 792 ] /Contents 462 0 R << /MediaBox [ 0 0 612 792 ] /Rotate 0 g:f O(hy0CQg, /StructParents 57 *8{zb`HxgA9HW?Z `Q /Rotate 0 Let f be a differentiable function with f(3)=7 and f(3)=8. << /MediaBox [ 0 0 612 792 ] The base of a solid is the region in the first quadrant bounded by the graph of y=cosx and the x- and y-axes for 0x2. /MediaBox [ 0 0 612 792 ] What is the volume of the solid? Which of the following graphs best predicts the solar energy output in the town in Germany in December? >> << /MediaBox [ 0 0 612 792 ] /Rotate 0 /StructParents 110 N@J*lI4LT}@BvlX"20O/?fEy6-0L^ /Rotate 0 >> Let be the function given by . >> /Parent 1 0 R /StructParents 42 /Contents 275 0 R Shown above is the slope field for which of the following differential equations? << /Contents 360 0 R /Parent 1 0 R /Rotate 0 /Resources 416 0 R << /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Contents 481 0 R >> /Contents 315 0 R . << /CropBox [ 0 0 612 792 ] /Rotate 0 27 terms. These materials are part of a College Board program. /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 /MediaBox [ 0 0 612 792 ] 155 0 obj /Type /Page endobj /C0_1 179 0 R 29 0 obj \hline \text { Number } & 7.5 & 7.8 & 7.9 & 8.3 \\ The volume of the glacier is 400km^3 at time t=0. /MediaBox [ 0 0 612 792 ] 109 0 obj /Contents 323 0 R /Resources 488 0 R 1. /Contents 550 0 R << /Resources 326 0 R Assign topic questions to reveal student misunderstandings and target your lessons. /Contents 373 0 R >> /Rotate 0 /Contents 691 0 R /CropBox [ 0 0 612 792 ] 118 0 obj /Type /Page /Resources 470 0 R /CropBox [ 0 0 612 792 ] % My Reports highlights progress for every student and class across AP units. /Resources 549 0 R 160 0 obj 19 0 obj What is the volume of the solid? >> /Rotate 0 /Resources 621 0 R /Resources 413 0 R Which of the following gives the volume of the solid generated when region R is revolved about the vertical line x=1? /Resources 506 0 R /Rotate 0 /Resources 301 0 R /StructParents 69 /Type /Page 149 0 obj /MediaBox [ 0 0 612 792 ] /Resources 509 0 R 12 0 obj /CropBox [ 0 0 612 792 ] /Contents 699 0 R /Type /Page 73 0 obj /Producer (Python PDF Library \055 http\072\057\057pybrary\056net\057pyPdf\057) /Type /Page /Resources 295 0 R /C0_1 204 0 R /MediaBox [ 0 0 612 792 ] 5.0 (21 reviews) 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). Justifications require that yougive mathematical reasons, and that you verify the needed conditions under which relevanttheorems, properties, definitions, or tests are applied. 64 0 obj /CropBox [ 0 0 612 792 ] Click the card to flip Mountain View High School, Lawrenceville. /Type /Page >> Please respond on separate paper, following directions from your teacher. Show all your work. /Contents 678 0 R 136 0 obj /Parent 1 0 R /CropBox [ 0 0 612 792 ] /C0_0 197 0 R /Contents 340 0 R >> /Parent 1 0 R >> /Resources 694 0 R 103 0 obj Let f be the function given by f(x)= sinxcosx/x^2-4 On the closed interval [-2pi, 2pi]. 2 0 obj 3 0 obj /StructParents 51 << 46 0 obj << /Type /Page >> /StructParents 114 /Font << 52 0 obj Which of the following best explains energy transformation in hydrogen fuel cells? 121 0 obj /CropBox [ 0 0 612 792 ] <> /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] >> endobj /StructParents 136 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. /StructParents 145 These materials are part of a College Board program. >> The Instructional Approaches section of the CED includes many research-based instructional strategies aligned to course skills. /Type /Page /MediaBox [ 0 0 612 792 ] /Type /Page search for any question, passage, or stimulus by text or keyword. << C) Kinetic energy mechanical energy electrical energy. << /ArtBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] B. /Rotate 0 /Type /Page /StructParents 82 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. search for any question, passage, or stimulus by text or keyword. endobj /Contents 279 0 R << /Parent 1 0 R << 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. 10 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 ] /Contents 364 0 R /Type /Page /Parent 1 0 R endobj /Contents 399 0 R /Contents 485 0 R /Resources 613 0 R R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. \text { Ed } & 96 & 98 Which of the following identifies the air pollutants most commonly released during the burning of biomass? /MediaBox [ 0 0 612 792 ] /Contents 300 0 R 117 0 obj /StructParents 23 << These materials are part of a College Board program. /Type /Pages endobj /MediaBox [ 0 0 612 792 ] \hline \text { Number } & 6.3 & 6.7 & 7.0 & 7.2 \\ /Type /Page /Rotate 0 /MediaBox [ 0 0 612 792 ] 88 0 obj /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=1004x^2 and the x- and y-axes is revolved about the y-axis? endobj endobj << >> /Contents 516 0 R The secondpoint is earned for correctly substituting the -values into the expression for in the sum. << /Type /Page /Resources 500 0 R /CropBox [ 0 0 612 792 ] /StructParents 92 /Rotate 0 You can: Learn how to get started in AP Classroom. endobj /Contents 348 0 R /StructParents 142 /MediaBox [ 0 0 612 792 ] 86 0 obj 56 0 obj endobj \text { Doug } & 83 & 58 \\ /Parent 1 0 R << The graph of f, the derivative of the function f, is shown above for 1> 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. /Contents 569 0 R /Rotate 0 <> endobj /Parent 1 0 R /CropBox [ 0 0 612 792 ] /StructParents 1 /Rotate 0 endobj Which of the following best describes a potential advantage of using geothermal energy instead of solar farms for power generation? /Type /Page /Type /Catalog >> 90 0 obj << endobj >> 44 0 obj 39 0 obj /Rotate 0 /Resources 637 0 R /Resources 385 0 R /StructParents 56 4 0 obj /MediaBox [ 0 0 612 792 ] endobj /StructParents 28 /ProcSet [ /PDF /Text ] /CropBox [ 0 0 612 792 ] >> /Resources 422 0 R 15 terms. /Resources 690 0 R /CropBox [ 0 0 612 792 ] Let be the function defined above. /Rotate 0 143 0 obj Let f be a function with first derivative given by f(x)=(x+1)(x2)(x3). << AThe distance of the particle from the origin is 3.2 inches at time seconds. /Parent 1 0 R 91 0 obj /Contents 458 0 R /Type /Page /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 /Resources 619 0 R /Parent 1 0 R /StructParents 103 /Rotate 0 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. /StructParents 37 /Resources << /Rotate 0 /MediaBox [ 0 0 612 792 ] /StructParents 59 /Rotate 0 >> Verified answer. << /Parent 1 0 R Kahn Academy (now has an AP Calculus AB option) Class Summaries: Date: Description: Links/Notes: Friday, Aug 23rd- Tues, Aug 27th: First day items . /Resources 372 0 R /ProcSet [ /PDF /Text ] /Type /Page The base of a solid is the region in the first quadrant bounded by the x- and y-axes and the graph of y= ( (x-2)^2)/ (2 (x+1)). endobj endobj /Type /Page << /CropBox [ 0 0 612 792 ] /GS1 171 0 R /StructParents 58 /Resources 276 0 R Which of the following statements is true for 1> /Parent 1 0 R /Resources 513 0 R B 2.297. Which of the following statements is true? Let R be the triangular region in the first quadrant, with vertices at points (0,0), (0,2), and (1,2). /StructParents 70 << 57 0 obj /Resources 448 0 R /Contents 286 0 R Part B The first point is earned for correctly presenting the form of the trapezoidal approximation. /Contents 689 0 R /MediaBox [ 0 0 612 792 ] /Contents 304 0 R endobj /Type /Page >> /CropBox [ 0 0 612 792 ] The College Board. >> endobj /Rotate 0 /StructParents 150 %PDF-1.4 /Parent 1 0 R /Resources 388 0 R AP Calculus AB Final: Multiple Choice Questio. /Rotate 0 These materials are part of a College Board program. /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 77 0 obj 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 . /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /CropBox [ 0 0 612 792 ] >> /MediaBox [ 0 0 612 792 ] << /Type /Page endobj >> Guest lecturers include: The Faculty Lectures are available on theAP Classroom Course Resources page, under Overview, as well asYouTube. /MediaBox [ 0 0 612 792 ] /Parent 1 0 R endobj Also shown is a portion of the graph of f. What is the value of limf f(x)) ? /MediaBox [ 0 0 612 792 ] Which of the following differential equations could be used to model the value of the car, where k is a constant? /BleedBox [ 0 0 612 792 ] << 30 0 obj /BleedBox [ 0 0 612 792 ] /Contents 421 0 R 134 0 obj /StructParents 61 /CropBox [ 0 0 612 792 ] /Parent 1 0 R /Rotate 0 /Contents 389 0 R /Resources 359 0 R /Contents 404 0 R endobj << /Parent 1 0 R /Rotate 0 log320.631, log351.465\log _ { 3 } 5 \approx 1.465 >> 84 0 obj /C0_1 204 0 R endobj /MediaBox [ 0 0 612 792 ] /Contents 499 0 R F'(c)=8-7/3-(-3) since the Mean Value Theorem applies. /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Contents 519 0 R /Parent 1 0 R 74 0 obj /CropBox [ 0 0 612 792 ] /Resources 472 0 R >> 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 endobj << /C0_1 204 0 R /Type /Page /CropBox [ 0 0 612 792 ] endobj /StructParents 109 /Type /Page /Rotate 0 This is a lot of time to work on it, however, I would . The first derivative of f is given by f'(t)=1-lnt-sint. /CropBox [ 0 0 612 792 ] >> /MediaBox [ 0 0 612 792 ] >> /GS1 171 0 R 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. /CropBox [ 0 0 612 792 ] endobj /Rotate 0 >> /StructParents 11 140 0 obj << /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Type /Page /Rotate 0 /Resources 574 0 R >> /MediaBox [ 0 0 612 792 ] 53 0 obj /Contents 579 0 R endobj << /CropBox [ 0 0 612 792 ] << /Rotate 0 /Rotate 0 /Parent 1 0 R /ArtBox [ 0 0 612 792 ] 146 0 obj << 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. D and 3.119. calculus. Shown above is a slope field for which of the following differential equations? /Contents 354 0 R /Rotate 0 /Resources << l x=n2_7al0w-VdlssXS'jH*{%~VwvkE|(u>5J,5$]Y5P /CropBox [ 0 0 612 792 ] /ArtBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /BleedBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] endobj /Rotate 0 /StructParents 156 << /Type /Page /Resources 629 0 R 3 0 obj /Type /Page endobj /Type /Page % /Parent 1 0 R endobj Which of the following is an expression for f(x) ? /CropBox [ 0 0 612 792 ] /Type /Page endobj /Parent 1 0 R >> /Contents 625 0 R /GS0 170 0 R %PDF-1.4 36 terms. /Resources 283 0 R /CropBox [ 0 0 612 792 ] >> /Type /Page >> << endobj free-response questions with scoring guides to help you evaluate student work. /Rotate 0 /Contents 684 0 R /Contents 342 0 R << endobj /Resources 337 0 R assign alongside topic questions to address misunderstandings. /StructParents 108 83 0 obj /Type /Page /CropBox [ 0 0 612 792 ] /Resources 486 0 R endobj Use a graphing utility to plot the data and graph the model. endobj << /Parent 1 0 R For the solid, each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the y-axis and one leg in the xy-plane. C 2.320. 18 0 obj endobj /MediaBox [ 0 0 612 792 ] endobj /MediaBox [ 0 0 612 792 ] endobj /MediaBox [ 0 0 612 792 ] /Resources 572 0 R /Annots 219 0 R /StructParents 116 /GS1 171 0 R /StructParents 0 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R \end{array} /StructParents 34 127 0 obj /Parent 1 0 R >> By opening this packet, you agree to all of the AP Program's policies and procedures outlined in the 2011-12 Bulletin for AP Students and Parents. /StructParents 78 /Type /Page /C0_0 197 0 R !$*`qKIxzkvhqyQ2DL[UU{*?Tn]~*? '`"k_[/L_ wD>PhB2D|Xm9sK&Z!k>|*iQi?gE[i!r)gL(;E.iYRI_ebxGCRjW#.}LECMJ|:`KFg
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l}x-f[wKLb2s!R@M7Sw?{%s;o~)rnw[u#'.Bj>#!N|- A. ~iysL 3* & BLr>0W`fB, G{R /Resources 461 0 R /C0_1 204 0 R Study Resources. The following passage Is excerpted from a novel rst published In lnstallments from 1871 -1, Let f be an increasing function with F(0)= 3. log3(52). 67 0 obj Use the following identities to show that tan z is a periodic function with a real period of \pi. 156 0 obj 43 0 obj Click the card to flip . /Contents 408 0 R /Contents 284 0 R /Contents 508 0 R /Resources 673 0 R Sign in to AP Classroomto access AP Daily. Bashir collected 413\frac{1}{3}31 baskets of peaches at an orchard. /Contents 467 0 R I got 1510 on first test. /C0_2 179 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] >> /C0_1 204 0 R /Parent 1 0 R % 87 0 obj /MediaBox [ 0 0 612 792 ] endobj << What is the volume of the solid? >> /Rotate 0 /Resources 687 0 R /Contents 581 0 R /StructParents 15 /Rotate 0 >> /CropBox [ 0 0 612 792 ] /Resources 400 0 R /Parent 1 0 R This 2008 curriculum module provides lessons, activities, and worksheets for you to use as you teach this topic. >> /Type /Page Log in Join. /Contents 321 0 R 35 0 obj << Sect. sin(z+)=sinz\sin (z+\pi)=-\sin zsin(z+)=sinz 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. << 68 0 obj /Type /Page /Contents 460 0 R /StructParents 80 /Contents 454 0 R endobj Unit 2 Progress Check: MCQ Part B. endobj Unit 5 Progress Check: MCQ Part B Copyright 2017. << /CropBox [ 0 0 612 792 ] << /Type /Page /MediaBox [ 0 0 612 792 ] << /StructParents 154 /Contents 282 0 R /Count 158 /Type /Page << /ExtGState << << /StructParents 50 /Parent 1 0 R /Rotate 0 /Resources 646 0 R << /Resources 324 0 R /MediaBox [ 0 0 612 792 ] find topic questions and practice exam questions, indexed by content and skills. endobj /Resources 444 0 R endobj >> Virge Cornelius, Lafayette High School, Oxford, Miss. << endobj /Type /Page /Contents 672 0 R endobj /Contents 311 0 R 33 0 obj 124 0 obj /Parent 1 0 R endobj >> /Type /Page /Resources 390 0 R >> /CropBox [ 0 0 612 792 ] /StructParents 141 /Contents 612 0 R /Rotate 0 4 0 obj /Contents 465 0 R C) Carbon dioxide ( CO2 ), particulate matter ( PM ), and carbon monoxide ( CO). /MediaBox [ 0 0 612 792 ] /Parent 1 0 R >> YaBoiTalal. endobj /Parent 1 0 R /Parent 1 0 R Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. /Contents 512 0 R /Contents 375 0 R << Be sure to remember those shapes under the x-axis are negative. 51 0 obj Let f be the function given by f(x)=(x^2-9)/sinx on the closed interval [0,5]. /Parent 1 0 R /Rotate 0 /Resources 517 0 R /StructParents 111 endobj /Type /Page /Rotate 0 Which of the following statements is true? An article on the famous self-taught mathematicians puzzles and how one teacher used them at his school. /Contents 655 0 R C) Geothermal energy uses the natural insulating power of Earth to create temperature differentials that are used to heat buildings in the winter and cool them in the summer. /Resources 468 0 R By the Mean Value Theorem applied to f on the interval [0,4], there is a value c such that f'(c)=4. << 137 0 obj endobj endobj /Resources 493 0 R BThe graph of has a point of inflection at .
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unit 6 progress check mcq part b ap calculus ab