37 0 obj Which of the following statements is true? /StructParents 129 /Contents 382 0 R /StructParents 137 << /Rotate 0 /StructParents 25 /MediaBox [ 0 0 612 792 ] 36 0 obj /GS0 170 0 R /ProcSet [ /PDF /Text ] B 4. On which open intervals is f decreasing? % /Parent 1 0 R >> /ProcSet [ /PDF /Text ] /MediaBox [ 0 0 612 792 ] /Resources 474 0 R /StructParents 31 /Contents 275 0 R /MediaBox [ 0 0 612 792 ] /ExtGState << /Resources 363 0 R /GS0 170 0 R A 2. /StructParents 112 Sketch the displacement vectors from r(0)\mathbf{r}(0)r(0) to r(1/8)\mathbf{r}(1 / 8)r(1/8), from r(1/3)\mathbf{r}(1 / 3)r(1/3) to r(2/3)\mathbf{r}(2 / 3)r(2/3), and from r(3/4)\mathbf{r}(3 / 4)r(3/4) to r(11/12)\mathbf{r}(11 / 12)r(11/12). /MediaBox [ 0 0 612 792 ] /Contents 691 0 R /MediaBox [ 0 0 612 792 ] /Parent 1 0 R The domain of f is not a closed and bounded interval. F'(c)=8-7/3-(-3) since the Mean Value Theorem applies. /CropBox [ 0 0 612 792 ] /Contents 505 0 R \hline /Rotate 0 148 0 obj >> /Contents 465 0 R Unit #4 - Applications of Derivative Part I Hw Name _____ page 59 AP* Calculus AB Page 59 Unit 4 Progress Check MC Online Scratch paper e need . /Rotate 0 << 83 0 obj /StructParents 124 43 0 obj /Contents 485 0 R BThe graph of has a point of inflection at . 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. << /StructParents 145 YearNumber20167.520177.820187.920198.3. >> /Parent 1 0 R 47 0 obj /MediaBox [ 0 0 612 792 ] /Rotate 0 /Rotate 0 Verified questions. /StructParents 57 /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] %PDF-1.3 endobj endobj 119 0 obj /StructParents 4 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /Contents 467 0 R 160 0 obj /Type /Page >> /Rotate 0 In this problem, 1/4 of a circle is used and triangles are used. /Parent 1 0 R 76 0 obj /Type /Page /StructParents 15 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. /Parent 1 0 R 151 0 obj endobj /Parent 1 0 R endobj /Type /Page endobj endobj /StructParents 136 Show all your work. << /Resources << stream /Parent 1 0 R /Parent 1 0 R >> /Contents 294 0 R << /Contents 282 0 R /MediaBox [ 0 0 612 792 ] The College Board. << /StructParents 116 /StructParents 156 /CropBox [ 0 0 612 792 ] >> << /GS0 170 0 R /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /ArtBox [ 0 0 612 792 ] /Contents 417 0 R >> /MediaBox [ 0 0 612 792 ] l x=n2_7al0w-VdlssXS'jH*{%~VwvkE|(u>5J,5$]Y5P /StructParents 35 /StructParents 151 endobj STUDENTRobDougMyronAlanEdMATHEMATICSTESTSCORE7383628996READINGTESTSCORE8758907098. /StructParents 119 endobj << /Resources 486 0 R D'abord, il retrouver, Please help me with these questions. /CropBox [ 0 0 612 792 ] << /StructParents 144 /CropBox [ 0 0 612 792 ] Information about using graphing calculators on the AP Calculus Exams. 6 0 obj << /Resources 461 0 R /Parent 1 0 R The College Board. /Type /Page /StructParents 148 85 0 obj /MediaBox [ 0 0 612 792 ] /Rotate 0 >> Answer C: 0.249. /Rotate 0 @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 /Contents 279 0 R >> /Type /Page 11 days ago. /Resources 546 0 R endobj /Resources 326 0 R << /Contents 672 0 R endobj /Contents 360 0 R << An article on the famous self-taught mathematicians puzzles and how one teacher used them at his school. /Resources 517 0 R /Parent 1 0 R @]PV7>eO[\75g-"GhIuTU! /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] c) except in terms of employee issues. /CropBox [ 0 0 612 792 ] AP Calculus AB Final: Multiple Choice Questio. >> The question bank is a searchable database of real AP questions. /Parent 1 0 R /Resources 564 0 R << Of the following intervals, on which can the Mean Value Theorem be applied to f? Let f be a function with first derivative given by f(x)=(x+1)(x2)(x3). >> /Type /Page /StructParents 62 /C0_3 172 0 R 55 0 obj /Resources 332 0 R /MediaBox [ 0 0 612 792 ] endobj >> /Contents 401 0 R Which of the following most accurately explains how geothermal energy is produced and utilized in these applications? /Length 1264 /StructParents 1 /MediaBox [ 0 0 612 792 ] endobj << endobj /Parent 1 0 R << << /StructParents 74 /Rotate 0 /MediaBox [ 0 0 612 792 ] << /Resources 411 0 R /CropBox [ 0 0 612 792 ] Let be the function given by . 56 0 obj 145 0 obj /Contents 684 0 R /StructParents 121 endobj /Type /Page << /MediaBox [ 0 0 612 792 ] /Rotate 0 50 0 obj >> /Resources 339 0 R /MediaBox [ 0 0 612 792 ] >> /Rotate 0 /Contents 304 0 R *The following questions were not written by CollegeBoard and although they cover information outlined in the AP Calculus Course and Exam . /Contents 689 0 R /MediaBox [ 0 0 612 792 ] Students should login to My AP complete Unit 6 Progress Check: FRQ A and MCQ Part B. FRQ Must be complete by Monday, 3/23 7:30 AM. Work on Unit 2 Progress Check: MCQ Part B and Unit 3 Progress Check: MCQ on AP Classroom (Due by end of school day on Fri, Jan 10th). /MediaBox [ 0 0 612 792 ] /Resources 276 0 R >> AP Calculus AB Scoring Guide Unit 6 Progress. /CropBox [ 0 0 612 792 ] /Rotate 0 /Rotate 0 clawre3958. 156 0 obj >> length. /Rotate 0 /StructParents 123 >> >> 2. >> /Parent 1 0 R /Contents 494 0 R Let f be the function defined by f(x)=x^2+1/x+1 with domain [0,). /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Resources 570 0 R >> endobj /Resources 374 0 R << /Rotate 0 120 0 obj /Type /Page endobj /StructParents 80 /Resources 549 0 R /CropBox [ 0 0 612 792 ] >> << 74 0 obj >> >> /Parent 1 0 R kaylahollas. /Contents 614 0 R /Rotate 0 153 0 obj % /Type /Page /C0_0 197 0 R /Contents 625 0 R /Parent 1 0 R /Type /Page /CropBox [ 0 0 612 792 ] Unit 5 MCQ AP Calc AB. /Contents 325 0 R /CropBox [ 0 0 612 792 ] /TrimBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Type /Page Study Unit 6: Integration and Accumulation of Change. 194. << /MediaBox [ 0 0 612 792 ] << /Contents 699 0 R /Font << /Contents 404 0 R /StructParents 84 << /Contents 302 0 R endobj <> << /Parent 1 0 R Which of the following is a differential equation that describes this relationship, where k is a constant? Let y=f(x) be the particular solution to the differential equation dydx=ex1ey with the initial condition f(1)=0. /Type /Page /CropBox [ 0 0 612 792 ] What is the volume of the solid? >> 20 0 obj /Resources 388 0 R 102 0 obj Vendredi dernier, Sbastien avait un examen d'histoire. 54 0 obj /Rotate 0 /CropBox [ 0 0 612 792 ] /Resources 381 0 R /MediaBox [ 0 0 612 792 ] /Resources 629 0 R /Contents 286 0 R /Parent 1 0 R /Rotate 0 5 0 obj 4 0 obj /Rotate 0 /MediaBox [ 0 0 612 792 ] /ProcSet [ /PDF /Text ] 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. << Which of the following is a differential equation that could describe this relationship? /Parent 1 0 R /Parent 1 0 R /Contents 350 0 R At time t=0, the amount of bacteria in the dish is 10 grams. /CropBox [ 0 0 612 792 ] /Rotate 0 >> >> /Contents 579 0 R << /Resources 490 0 R /StructParents 41 /MediaBox [ 0 0 612 792 ] << << << /MediaBox [ 0 0 612 792 ] /TrimBox [ 0 0 612 792 ] A sociologist believes that the percentage is actually greater than 75 percent. /Rotate 0 Part B The first point is earned for correctly presenting the form of the trapezoidal approximation. /Type /Page /Parent 1 0 R /StructParents 102 /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Type /Page /Rotate 0 /StructParents 16 endobj >> << endobj /Resources 418 0 R The College Board. << /Type /Page Year2012201320142015Number6.36.77.07.2\begin{array}{|l|c|c|c|c|} /Resources 444 0 R /MediaBox [ 0 0 612 792 ] MATHEMATICS CALCULUS. /StructParents 126 /TrimBox [ 0 0 612 792 ] /Rotate 0 unit 3 progress check mcq ap spanishryanair manchester airport. /Resources 478 0 R katedickinson3. /MediaBox [ 0 0 612 792 ] >> << /Contents 440 0 R /MediaBox [ 0 0 612 792 ] /Resources 355 0 R /CropBox [ 0 0 612 792 ] >> My Reports highlights progress for every student and class across AP units. 88 0 obj /ArtBox [ 0 0 612 792 ] /Rotate 0 /CropBox [ 0 0 612 792 ] >> endobj >> << /StructParents 79 /Rotate 0 /MediaBox [ 0 0 612 792 ] /C0_2 179 0 R 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? /CropBox [ 0 0 612 792 ] /StructParents 60 /Font << 93 0 obj /CropBox [ 0 0 612 792 ] /Rotate 0 /Contents 676 0 R >> endobj }]9-tj1~1hmovhr%T jL/J|9~vfRsUcH]e:6}. *8{zb`HxgA9HW?Z `Q /StructParents 106 << /StructParents 76 Which of the following best describes a potential advantage of using geothermal energy instead of solar farms for power generation? /Type /Page << >> \text { Myron } & 62 & 90 \\ /Type /Page endobj /Type /Page Sign in to AP Classroomto access AP Daily. Let y=f(x) be the particular solution to the differential equation dy/dx=2x1/y^2 with the initial condition y(0)=3. 40. r/Sat. /StructParents 117 /CropBox [ 0 0 612 792 ] /Resources 506 0 R >> /Type /Page /Resources 287 0 R >> /Rotate 0 endobj >> The rate of change of the car's value in dollars per year is proportional to the car's value. Which of the following gives the volume of the solid generated when region R is revolved about the vertical line x=1? endobj endobj endobj /Parent 1 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] /Type /Page /MediaBox [ 0 0 612 792 ] /Type /Page /Filter /FlateDecode /Resources 621 0 R endobj 103 0 obj Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. /Rotate 0 /Contents 387 0 R Log in Join. endobj /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] << 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. endobj /StructParents 33 /Type /Page /Type /Page /Parent 1 0 R (LogOut/ >> /Rotate 0 /StructParents 59 57 0 obj For what value of , if any, is continuous at ? << /Parent 1 0 R /C0_0 197 0 R /StructParents 22 /Contents 516 0 R Let be the function given by . << 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 /CropBox [ 0 0 612 792 ] /Contents 475 0 R 150 0 obj >> /Parent 1 0 R endobj >> /Resources 385 0 R << /Type /Page /Resources 422 0 R >> /StructParents 82 51 0 obj log3(52). /Resources 295 0 R /StructParents 142 /StructParents 8 /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Parent 1 0 R /Rotate 0 >> >> /Type /Page R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles. << /Type /Page /Producer (Python PDF Library \055 http\072\057\057pybrary\056net\057pyPdf\057) /StructParents 39 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? /ArtBox [ 0 0 612 792 ] Of the following, which are solutions to the differential equation 4y+y=0 ? /Resources 341 0 R /Type /Page /MediaBox [ 0 0 612 792 ] d) except in terms of both supply chain issues and employee issues. /Rotate 0 >> /C0_1 204 0 R endobj YearNumber20126.320136.720147.020157.2, Year2016201720182019Number7.57.87.98.3\begin{array}{|l|c|c|c|c|} Also shown is a portion of the graph of f. What is the value of limf f(x)) ? /StructParents 53 endobj /Parent 1 0 R 109 0 obj /StructParents 63 endobj /MediaBox [ 0 0 612 792 ] /Rotate 0 /Resources 562 0 R C 6. The following poem was rst published In 1862. 16 0 obj /StructParents 13 /Contents 693 0 R C 2.320. /Rotate 0 /Parent 1 0 R /CropBox [ 0 0 612 792 ] /BleedBox [ 0 0 612 792 ] << << %PDF-1.4 What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,2]? /Rotate 0 /StructParents 34 /CropBox [ 0 0 612 792 ] >> 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? /CropBox [ 0 0 612 792 ] endobj /MediaBox [ 0 0 612 792 ] The regions bounded by the graphs of y=x/2 and y= (sin x)^2 are shaded in the figure above. /Resources 504 0 R /Parent 1 0 R My march test was delayed so I only just got my score. assign to students before or after class to maximize time for discussion. >> /Contents 300 0 R /Contents 189 0 R /Rotate 0 What is the sum of the areas of the shaded regions? /StructParents 154 /Contents 550 0 R /Type /Page The rate of change of the egg's temperature T with respect to time t is proportional to the difference between the egg's temperature in degrees Fahrenheit (F) and the room temperature of 75F. /StructParents 29 /Contents 561 0 R /Resources 365 0 R /Contents 565 0 R <> /Contents 473 0 R /Contents 296 0 R /Rotate 0 Use or distribution of these materials online or in print beyond your school's participation in the program is prohibited. /MediaBox [ 0 0 612 792 ] >> << >> /Parent 1 0 R /MediaBox [ 0 0 612 792 ] << Below is a good link to review reading the derivative before completing Unit 5. reading-the-derivatives-graph. 144 0 obj /Contents 670 0 R /Parent 1 0 R /Resources 450 0 R << << /Parent 1 0 R \hline /Contents 471 0 R /Resources 349 0 R /Contents 406 0 R 112 0 obj /Resources 509 0 R /Type /Page Which of the following statements correctly describes a difference between biomass-fired power plants and traditional fossil-fuel-burning power plants, such as coal-fired plants? /Contents 548 0 R >> /Rotate 0 /Type /Page Riemann sum with two intervals of equal length is used to approximate. << 143 0 obj /C0_2 179 0 R /Type /Page 84 0 obj /CropBox [ 0 0 612 792 ] Explanation: A is correct because the definite integral can be determined by utilizes common geometric shapes and their area. /MediaBox [ 0 0 612 792 ] >> What is the amount of bacteria in the dish at time t=6 ? /Parent 1 0 R Students will take daily quizzes. N@J*lI4LT}@BvlX"20O/?fEy6-0L^ << endobj /Rotate 0 /Contents 396 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R /Resources 617 0 R /Font << /MediaBox [ 0 0 612 792 ] /Type /Page endobj /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /StructParents 104 A state is looking to reduce the cost of transportation, which uses 7.101014 BTUs per year. 104 0 obj AP Calculus AB Section 7.2: Verifying Solutio. Which of the following is an expression for f(x) ? /StructParents 27 << /Contents 223 0 R /Contents 298 0 R >> /Parent 1 0 R 136 0 obj endobj 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 ] /Rotate 0 What is the connection between human motivation and behavior modification? endobj >> /MediaBox [ 0 0 612 792 ] /Type /Page /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Resources 420 0 R /Parent 1 0 R >> << /MediaBox [ 0 0 612 792 ] 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. /StructParents 2 /Rotate 0 /MediaBox [ 0 0 612 792 ] endobj /Rotate 0 /ProcSet [ /PDF /Text ] /Parent 1 0 R The region R is the base of a solid. /StructParents 69 << /Rotate 0 >> endobj << /Rotate 0 << 18 0 obj /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] At what times t, for 0> /Resources 513 0 R Which of the following differential equations could be used to model the value of the car, where k is a constant? distance of the particle from the origin has increased by 3.2 inches over the time interval The distance of the particle from the origin is increasing at the rate of 3.2 inches per second at time seconds. /MediaBox [ 0 0 612 792 ] /Resources 502 0 R /StructParents 110 /Contents 449 0 R 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. /Rotate 0 endobj /Contents 340 0 R >> << /Parent 1 0 R << % /Resources 305 0 R << /Type /Page /Type /Page >> /StructParents 3 /ProcSet [ /PDF /Text ] 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. The function f has no absolute maximum on its domain. /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] (b) Write, but do not evaluate, an expression in terms of , involving one or more integrals, that gives the perimeter of region . /StructParents 146 endobj Image from Wikimedia Commons. /Parent 1 0 R /StructParents 23 /MediaBox [ 0 0 612 792 ] /Parent 1 0 R Dg]1}q"`N ggV6.5j
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F>A3E ,+7,hbyR(=!&+ZjSO>&B|8xD,^c=~3pH$43?E;;V^c1=EIs"Hl@pe2trqS$wAt?FhD/xd?76p>lPFdt4?i"VS*j=S%WE /CropBox [ 0 0 612 792 ] On which of the following closed intervals is the function f guaranteed by the Extreme Value Theorem to have an absolute maximum and an absolute minimum? /StructParents 99 /StructParents 133 /CropBox [ 0 0 612 792 ] /C0_3 172 0 R /Contents 680 0 R endobj /StructParents 68 /Parent 1 0 R /Type /Page /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] endobj << /Parent 1 0 R >> /CropBox [ 0 0 612 792 ] /GS1 171 0 R /MediaBox [ 0 0 612 792 ] >> /Rotate 0 /Rotate 0 >> We go over 10 multiple choice. /Type /Page /Type /Page /Type /Page /CropBox [ 0 0 612 792 ] Let be. 25 0 obj /CropBox [ 0 0 612 792 ] endobj /Contents 571 0 R AP Calculus AB Scoring Guide Unit 6 Progress Check: MCQ Part B 1. AP Physics 1 Unit 6 Progress Check. 161 0 obj << /Resources 413 0 R << /StructParents 149 52 0 obj Virge Cornelius, Lafayette High School, Oxford, Miss. /Parent 1 0 R /Type /Page /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Rotate 0 Please . 141 0 obj 66 0 obj >> /Resources 482 0 R /Parent 1 0 R endobj /CropBox [ 0 0 612 792 ] >> /Rotate 0 /Parent 1 0 R /Resources 383 0 R >> /CropBox [ 0 0 612 792 ] /ExtGState << /Parent 1 0 R /Contents 686 0 R endobj /Parent 1 0 R endobj 8 0 obj /Contents 218 0 R %PDF-1.4 << AP Calculus AB Scoring Guide Unit 1 Progress Check: MCQ Part B Copyright 2017. /Contents 458 0 R 91 0 obj 41 0 obj /StructParents 18 /Parent 1 0 R /StructParents 109 /Parent 1 0 R /Type /Page << << /MediaBox [ 0 0 612 792 ] Verified answer. /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R /StructParents 61 /Type /Page /Contents 375 0 R explain how to use, log320.631\log _ { 3 } 2 \approx 0.631 I think three times is enough. /CropBox [ 0 0 612 792 ] 87 0 obj /Rotate 0 128 0 obj /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] %PDF-1.4 /Parent 1 0 R AP studentscan also access videos on their own for additional support. /Resources 453 0 R /Parent 1 0 R This is a lot of time to work on it, however, I would . >> /C0_1 179 0 R /StructParents 54 >> /Rotate 0 /Resources 681 0 R /Parent 1 0 R << endobj /Resources 476 0 R /MediaBox [ 0 0 612 792 ] >> /Rotate 0 /Resources 472 0 R /StructParents 45 Let be a. be the value of the right Riemann sum approximation for. /Contents 443 0 R endobj /Contents 290 0 R /MediaBox [ 0 0 612 792 ] Scores for Mrs. McClellans class on mathematics and reading tests are given in the following table. /Resources 624 0 R >> endobj << /Rotate 0 endobj 70 0 obj 39 0 obj /MediaBox [ 0 0 612 792 ] >> /MediaBox [ 0 0 612 792 ] endobj y=x2x16. /Parent 1 0 R >> /BleedBox [ 0 0 612 792 ] endobj /Type /Page /Contents 389 0 R /C0_3 172 0 R /Type /Page /Resources 705 0 R 30 0 obj /CropBox [ 0 0 612 792 ] Just review for myself and anyone else who might need it :). Wind energy is increasingly relied upon to help meet global energy needs. 53 0 obj /CropBox [ 0 0 612 792 ] >> /CropBox [ 0 0 612 792 ] /StructParents 37 >> /CropBox [ 0 0 612 792 ] /GS0 170 0 R . /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /C0_2 179 0 R endobj /Contents 317 0 R /StructParents 49 /Parent 1 0 R /CropBox [ 0 0 612 792 ] cos(z+)=cosz\cos (z+\pi)=-\cos zcos(z+)=cosz, Identify the equation as a conditional equation, a contradiction, or an identity. /StructParents 122 /StructParents 140 /Type /Page endobj << /Contents 642 0 R Unit 8 Progress Check: MCQ Part B. The question bankis a searchable database of real AP questions. /Type /Page /StructParents 78 /Rotate 0 /Type /Page /MediaBox [ 0 0 612 792 ] /Type /Page endobj endobj /Rotate 0 49 0 obj >> << Which of the following must be true for some c in the interval (3,3) ? endobj ], y=x2x16y = x ^ { - 2 } - x ^ { - 1 } - 6 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. /CropBox [ 0 0 612 792 ] /Rotate 0 /GS1 170 0 R >> /StructParents 7 Which of the following are often used for energy storage of wind power? /Type /Page /Contents 452 0 R /MediaBox [ 0 0 612 792 ] The secondpoint is earned for correctly substituting the -values into the expression for in the sum. /Parent 1 0 R find topic questions and practice exam questions, indexed by content and skills. /StructParents 100 Lean applies to services: a) only in rare instances. encourage students to take advantage of on their own, on mobile devices or computers. /Parent 1 0 R 34 0 obj endobj /Resources 626 0 R /Resources 574 0 R /CropBox [ 0 0 612 792 ] endobj The College Board. /Resources << stream 138 0 obj /CropBox [ 0 0 612 792 ] /Font << Unit 6 - Kranish AP Calculus Unit 6 - Basic Integration & Applications *Quiz (Days 1 - 3): Thursday, November 30th *Unit 6 Test: Tuesday, December 5th Day 1 - Finding Antiderivatives of Polynomials (Nov. 20th) Notes Notes Handout/Assignment Assignment Answer Key Day 2 - Riemann Sums (Nov. 21st) Notes Notes Handout/Assignment /Contents 489 0 R endobj /Parent 1 0 R 61 0 obj As a glacier melts, the volume V of the ice, measured in cubic kilometers, decreases at a rate modeled by the differential equation dV/dt=kV, where t is measured in years. /Type /Page /Resources 407 0 R /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Parent 1 0 R MCQ Part B by Tuesday morning 7:30 AM. /CropBox [ 0 0 612 792 ] /Resources 318 0 R /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] endobj >> >> 72 0 obj /Contents 569 0 R /Resources 316 0 R /Rotate 0 endobj /Contents 410 0 R /StructParents 38 endobj endobj 155 0 obj /Resources 390 0 R /Type /Page /MediaBox [ 0 0 612 792 ] /Rotate 0 /Resources 324 0 R /MediaBox [ 0 0 612 792 ] /Resources 397 0 R /StructParents 94 /Parent 1 0 R >> /Contents 496 0 R /CropBox [ 0 0 612 792 ] 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. /Contents 384 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. >> /CropBox [ 0 0 612 792 ] f is decreasing on the interval (-2,2) because f'(x)<0 on the interval (-2,2). /StructParents 32 /CropBox [ 0 0 612 792 ] #2: 5:28#3: 7:47#4: 11:01#5: 13:42#6: 14:49#7: 15:33#8: 16:37#9: 17:23#10: 17:52#11: 19:36#12: 21:49#13: 24:12#14: 24:58#15: 27:47#16: 29:35#17: 33:36#18: 35. /Type /Page /Rotate 0 /Contents 373 0 R /Type /Page endobj >> endobj >> /Rotate 0
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