Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4 ? endobj /Contents 670 0 R /StructParents 66 /Parent 1 0 R /Resources 324 0 R The College Board. These materials are part of a College Board program. >> /StructParents 124 /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] << /MediaBox [ 0 0 612 792 ] /Contents 387 0 R I got 1510 on first test. /Rotate 0 /Parent 1 0 R Click the card to flip %PDF-1.4 >> << /Parent 1 0 R /CropBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] 107 0 obj /MediaBox [ 0 0 612 792 ] /Parent 1 0 R What is the general solution to the differential equation dy/dx=cos(8x)/cos(4y) ? >> /Rotate 0 /Type /Page /CropBox [ 0 0 612 792 ] /Rotate 0 /StructParents 101 141 0 obj /Parent 1 0 R /Rotate 0 /CropBox [ 0 0 612 792 ] 18 0 obj 105 0 obj /MediaBox [ 0 0 612 792 ] /GS1 171 0 R Suppose that the position function of a particle moving along a circle in the xyx yxy-plane is r(t)=4cos2ti+4sin2tj\mathbf{r}(t)=4 \cos 2 \pi t \mathbf{i}+4 \sin 2 \pi t \mathbf{j}r(t)=4cos2ti+4sin2tj. 129 0 obj /StructParents 120 endobj /Contents 290 0 R 160 0 obj Refrigerator A uses 500 watts per hour when the motor is operating. /Rotate 0 AP Calculus AB Scoring Guide Unit 6 Progress Check: FRQ Part A Copyright 2017. /Rotate 0 /MediaBox [ 0 0 612 792 ] /Rotate 0 /StructParents 134 /Parent 1 0 R /StructParents 71 >> /CropBox [ 0 0 612 792 ] \end{array} /Resources 551 0 R /Resources 351 0 R 84 0 obj 16 terms. Ht6W)Q, A B) The operational costs of biomass plants are very high when compared with traditional fossil fuel plants. \end{array} <> 1 Part B: Multiple-choice: 16.7%: 45 minutes: 15: Sect. /C0_2 179 0 R /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Contents 458 0 R /Rotate 0 >> 79 0 obj The seconds. 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). >> << /Resources 694 0 R /MediaBox [ 0 0 612 792 ] /Contents 354 0 R /Contents 417 0 R /Parent 1 0 R /Type /Page << /ProcSet [ /PDF /Text ] << 103 0 obj /Parent 1 0 R /Contents 625 0 R >> /StructParents 75 18 terms. >> >> /MediaBox [ 0 0 612 792 ] /Resources 320 0 R /Type /Page /Contents 695 0 R endobj /Contents 684 0 R /MediaBox [ 0 0 612 792 ] An article on how a teacher introduces slope fields in her classroom. STUDENTMATHEMATICSTESTSCOREREADINGTESTSCORERob7387Doug8358Myron6290Alan8970Ed9698\begin{array}{lcc} /Parent 1 0 R /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] endobj /Parent 1 0 R /Rotate 0 . /Contents 473 0 R 26 0 obj << /Parent 1 0 R /MediaBox [ 0 0 612 792 ] /StructParents 28 /Contents 222 0 R \hline /Resources 582 0 R Use or distribution of these materials online or in print. 15 terms. /Contents 691 0 R /Rotate 0 113 0 obj >> << 122 0 obj /Contents 510 0 R % /CropBox [ 0 0 612 792 ] /Resources 441 0 R Find the x-intercepts of the graph of each equation. /Type /Page >> >> /Contents 298 0 R /CropBox [ 0 0 612 792 ] /Type /Page Study Resources. /C0_1 204 0 R endobj /Contents 292 0 R /Type /Page /Resources 566 0 R /Parent 1 0 R << /Resources 402 0 R /Parent 1 0 R /Type /Page /StructParents 68 /Type /Page >> /Rotate 0 << endobj /Contents 404 0 R /Resources 283 0 R 48 0 obj #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. 25 0 obj /Parent 1 0 R /Parent 1 0 R /StructParents 8 /Resources 687 0 R BThe graph of has a point of inflection at . /CropBox [ 0 0 612 792 ] The first derivative of f is given by f'(t)=1-lnt-sint. /Type /Page /CropBox [ 0 0 612 792 ] >> /Type /Page Please respond on separate paper, following directions from your teacher. B. C) Using excess energy from a sunny day stored in batteries for power. /StructParents 151 /StructParents 0 /StructParents 69 /MediaBox [ 0 0 612 792 ] AP Calculus AB Scoring Guide. /Rotate 0 /StructParents 80 /Contents 620 0 R /Rotate 0 /Contents 321 0 R /StructParents 6 /Rotate 0 My Reports highlights progress for every student and class across AP units. /Type /Page /Rotate 0 /CropBox [ 0 0 612 792 ] /Rotate 0 /Resources 585 0 R /MediaBox [ 0 0 612 792 ] endobj /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] >> /MediaBox [ 0 0 612 792 ] 156 0 obj be the value of the right Riemann sum approximation for. /Parent 1 0 R The Instructional Approaches section of the CED includes many research-based instructional strategies aligned to course skills. endobj 34 0 obj 119 0 obj 138 0 obj 91 0 obj /Rotate 0 /MediaBox [ 0 0 612 792 ] What is the volume of the solid? /Rotate 0 We go over 10 multiple choice. /Parent 1 0 R /Parent 1 0 R /Type /Page /MediaBox [ 0 0 612 792 ] 38 0 obj << /Type /Page 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 16 /Type /Page \hline \text { Number } & 7.5 & 7.8 & 7.9 & 8.3 \\ << << /CropBox [ 0 0 612 792 ] endobj B) Hydrogen reacts with oxygen to produce water, which releases energy. /Font << \text { STUDENT } & \text { MATHEMATICS TEST SCORE } & \text { READING TEST SCORE } \\ endobj /BleedBox [ 0 0 612 792 ] Change). /MediaBox [ 0 0 612 792 ] 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. endobj 159 0 obj /Rotate 0 111 0 obj These materials are part of a College Board program. /ArtBox [ 0 0 612 792 ] /StructParents 89 /Rotate 0 Let f be the function defined by f(x)=3x^336x+6 for 4> /CropBox [ 0 0 612 792 ] MCQ Part B by Tuesday morning 7:30 AM. /MediaBox [ 0 0 612 792 ] Which of the following best explains energy transformation in hydrogen fuel cells? /MediaBox [ 0 0 612 792 ] /Rotate 0 /Contents 650 0 R >> /Resources 617 0 R endobj Unit 6 MCQ AP Calc. /CropBox [ 0 0 612 792 ] endobj /Rotate 0 /Contents 693 0 R /MediaBox [ 0 0 612 792 ] /StructParents 90 /Contents 389 0 R /StructParents 51 << /Parent 1 0 R /MediaBox [ 0 0 612 792 ] /Resources << /Rotate 0 /Resources 509 0 R % /Rotate 0 track to see which students are watching each video in each class. /MediaBox [ 0 0 612 792 ] You can: Learn how to get started in AP Classroom. /CropBox [ 0 0 612 792 ] l x=n2_7al0w-VdlssXS'jH*{%~VwvkE|(u>5J,5$]Y5P /StructParents 106 /Parent 1 0 R /Parent 1 0 R /Type /Page Geothermal energy is used to run large and complex power stations as well as small and relatively simple pumping systems. /Parent 1 0 R These materials are part of a College Board program. B 4. The question bank is a searchable database of real AP questions. /Resources 287 0 R Copyright 2021. /CropBox [ 0 0 612 792 ] 8 0 obj /CropBox [ 0 0 612 792 ] Selected values of a continuous function f are given in the table above. /CropBox [ 0 0 612 792 ] /Rotate 0 Let y=f(x) be the particular solution to the differential equation dy/dx=2x1/y^2 with the initial condition y(0)=3. << assign to students before or after class to maximize time for discussion. /MediaBox [ 0 0 612 792 ] >> /Rotate 0 The function f has no absolute maximum on its domain. << >> /Parent 1 0 R /Contents 296 0 R /TrimBox [ 0 0 612 792 ] endobj endobj The region R is the base of a solid. /Resources 459 0 R /Type /Page /Type /Page /Type /Page 80 0 obj Which of the following could be a slope field for the differential equation dydx=y3x ? << endobj /Resources 407 0 R \text { Alan } & 89 & 70 \\ << /Type /Page 151 0 obj /CropBox [ 0 0 612 792 ] The question bankis a searchable database of real AP questions. endobj /Contents 581 0 R /Rotate 0 /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] endobj /Type /Page /Parent 1 0 R 68 0 obj . /MediaBox [ 0 0 612 792 ] /Rotate 0 endobj /StructParents 132 This is a lot of time to work on it, however, I would . stream 157 0 obj /Contents 4 0 R>> /CropBox [ 0 0 612 792 ] endobj endobj What is the volume of the solid? >> /Resources 280 0 R /StructParents 110 /Parent 1 0 R Log in Join. /Rotate 0 Information about using graphing calculators on the AP Calculus Exams. /CropBox [ 0 0 612 792 ] /Contents 300 0 R endobj /Resources 400 0 R Unit 5 Progress Check: MCQ Part B Copyright 2017. /Rotate 0 /StructParents 102 << /Rotate 0 /C0_0 197 0 R /CropBox [ 0 0 612 792 ] 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. /Parent 1 0 R /Type /Page 114 0 obj What is the value of f(2) ? /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. >> /Type /Page /Parent 1 0 R Which of the following gives the volume of the solid generated when region R is revolved about the horizontal line y=3/2? /Contents 640 0 R /StructParents 23 endobj endobj /CropBox [ 0 0 612 792 ] /Contents 362 0 R multiple-choice questions with rationales explaining correct and incorrect answers, and. /Rotate 0 >> Assign topic questions to reveal student misunderstandings and target your lessons. /Type /Page /Type /Page >> /Type /Page /Parent 1 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 /Type /Page School Mountain View . 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. /Rotate 0 /Rotate 0 /Type /Page /CropBox [ 0 0 612 792 ] /Resources 493 0 R AP Calculus AB Scoring Guide Unit 6 Progress Check: MCQ Part B 1. endobj >> /Resources 549 0 R /CropBox [ 0 0 612 792 ] /Filter /FlateDecode endobj /Parent 1 0 R << /Parent 1 0 R /Type /Page << 55 0 obj << >> /Contents 313 0 R endobj calculus. endobj How much will the state save in one year if they implement regulations requiring all transportation methods to be 20% more efficient? 109 0 obj /Resources 314 0 R endobj The regions bounded by the graphs of y=x/2 and y= (sin x)^2 are shaded in the figure above. /MediaBox [ 0 0 612 792 ] AP Physics 1 Unit 4 Progress Check B. /Contents 288 0 R /Contents 573 0 R D and 3.119. Page 8 of 8 AThe function has a relative maximum at . 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. /Type /Page >> >> << /MediaBox [ 0 0 612 792 ] /Annots 219 0 R /Resources 335 0 R /Contents 350 0 R /StructParents 58 Let R be the region in the first quadrant bounded by the graph of y=2tan(x/5), the line y=5x, and the y-axis. /Type /Page /Contents 358 0 R /Resources 411 0 R /Rotate 0 << /Resources 316 0 R << /MediaBox [ 0 0 612 792 ] /Resources 353 0 R /Parent 1 0 R Virge Cornelius, Lafayette High School, Oxford, Miss. >> Be sure to remember those shapes under the x-axis are negative. You can: find topic questions and practice exam questions, indexed by content and skills. /StructParents 96 /Resources 520 0 R /CropBox [ 0 0 612 792 ] endobj /CropBox [ 0 0 612 792 ] 47 0 obj << /CropBox [ 0 0 612 792 ] C 2.320. /MediaBox [ 0 0 612 792 ] /Rotate 0 A state is looking to reduce the cost of transportation, which uses 7.101014 BTUs per year. 12 0 obj /Parent 1 0 R /StructParents 5 /Type /Page 31 0 obj /StructParents 108 D. 0-A ((x+1)^2(x^2ln(1x^3)+1)^2) dx. 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. endobj What is the volume of the solid generated when region M is revolved around the horizontal line y=1? /Type /Page << endobj /Contents 704 0 R Sign in to AP Classroomto access AP Daily. << endobj /Annots 186 0 R 136 0 obj 27 0 obj /MediaBox [ 0 0 612 792 ] Students will take daily quizzes. /MediaBox [ 0 0 612 792 ] << 2. /Type /Page /CropBox [ 0 0 612 792 ] 4(3 - 5n) + 1 = -4n - 8 - 16n. /Resources 318 0 R >> /StructParents 79 /Contents 610 0 R YaBoiTalal. << 60 0 obj /StructParents 142 /Rotate 0 /MediaBox [ 0 0 612 792 ] What is the volume of the solid? /Type /Page /MediaBox [ 0 0 612 792 ] f has two relative minima and one relative maximum. /CropBox [ 0 0 612 792 ] << /Rotate 0 /Type /Page /Type /Page endobj << >> 115 0 obj 61 0 obj /Type /Page For what value of , if any, is continuous at ? /Type /Page /GS1 170 0 R AP studentscan also access videos on their own for additional support. 2 Part A: Free-response . 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). /CropBox [ 0 0 612 792 ] /MediaBox [ 0 0 612 792 ] /Contents 552 0 R /Contents 4 0 R>> /Parent 1 0 R << endobj 2 0 obj << /Parent 1 0 R /MediaBox [ 0 0 612 792 ] 13 0 obj /Resources 303 0 R /CropBox [ 0 0 612 792 ] >> Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. endobj d) except in terms of both supply chain issues and employee issues. 155 0 obj << F'(c)=8-7/3-(-3) since the Mean Value Theorem applies. /Resources 339 0 R /Contents 443 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. /Contents 348 0 R endobj AP* Calculus AB Page 57 Unit 4 Progress Check MC Online Scratch paper 6 2 5tan E t 2.05928 p 2.05928 1.2135 y It 4 15 y 2.5 2 98.4514 t 12 y 7.5 2 98.4514 t 12 . /ProcSet [ /PDF /Text ] << endobj << A hydrogen fuel cell-powered car driving on a highway is different from gasoline-powered cars because hydrogen fuel cell-powered cars only emit. 4 0 obj >> /TrimBox [ 0 0 612 792 ] /Contents 408 0 R /CropBox [ 0 0 612 792 ] The graphs intersect at x=A and x=0. /MediaBox [ 0 0 612 792 ] 3 0 obj /MediaBox [ 0 0 612 792 ] /Type /Page %PDF-1.4 /Rotate 0 /Resources << /CropBox [ 0 0 612 792 ] /Type /Page Use the following identities to show that tan z is a periodic function with a real period of \pi. /Resources 651 0 R /CropBox [ 0 0 612 792 ] /Rotate 0 /Parent 1 0 R << >> /Parent 1 0 R /CropBox [ 0 0 612 792 ] endobj 11 days ago. /TrimBox [ 0 0 612 792 ] /Type /Page Therefore, earns both points. /StructParents 31 endobj endobj /MediaBox [ 0 0 612 792 ] /Resources 637 0 R << /CropBox [ 0 0 612 792 ] /Contents 456 0 R >> Let f be a function with first derivative given by f(x)=(x+1)(x2)(x3). /MediaBox [ 0 0 612 792 ] /Resources 671 0 R /Parent 1 0 R >> << /CropBox [ 0 0 612 792 ] /Type /Page find topic questions and practice exam questions, indexed by content and skills. Av. 148 0 obj /CropBox [ 0 0 612 792 ] /StructParents 126 /StructParents 127 /CropBox [ 0 0 612 792 ] endobj /Parent 1 0 R endobj endobj /Type /Page /MediaBox [ 0 0 612 792 ] << Then give the solution set. /Rotate 0 \text { Ed } & 96 & 98 /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /StructParents 116 /Contents 471 0 R endobj /StructParents 157 Click the card to flip . >> /MediaBox [ 0 0 612 792 ] >> % /Contents 294 0 R /Type /Page 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. << /Type /Page /Parent 1 0 R endobj /Rotate 0 /Rotate 0 Which of the following is the particular solution to the differential equation dy/dx=sin(x^2) with the initial condition y()=4 ? >> %PDF-1.4 << 1 0 obj /Contents 334 0 R >> << c) except in terms of employee issues. /Parent 1 0 R /GS0 170 0 R << /Type /Page /Parent 1 0 R /CropBox [ 0 0 612 792 ] Wind energy can be used to generate electricity using wind turbines. endobj 20 0 obj >> /C0_3 172 0 R /MediaBox [ 0 0 612 792 ] /Parent 1 0 R The volume of the glacier is 400km^3 at time t=0. /Type /Page explain how to use, log320.631\log _ { 3 } 2 \approx 0.631 /Rotate 0 This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. endobj 98 0 obj /Resources 347 0 R >> /StructParents 141 /StructParents 103 >> Without applying the Change of Base Formula. /Contents 447 0 R >> /Resources 555 0 R /StructParents 64
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