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Questions and Worked Solutions for AP Calculus AB Multiple Choice 2008.

The AP Calculus AB exam has two sections: AP Calculus AB Exam Past Papers. Section I contains 45 multiple-choice questions for which you are given 105 minutes to complete. Title: 2008 Practice Exam.pdf Author: Gary Flores Created Date: 4/20/2016 1:39:59 PM; May 07, 2014 Exam or the AP Calculus BC Exam. In this video, I go through no calculator multiple choice questions from the 2008 AP Calculus exam. The theme in this video is to show the most efficient sol. Approximately every four years, on a staggered schedule, the AP® Program releases a complete copy of each exam. In addition to providing the multiple-choice questions and answers, the publication describes the process of scoring the free-response questions and includes examples of students' actual responses, the scoring standards,.

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AP Calculus AB Multiple Choice 2008 Questions - Complete Paper (pdf)

AP Calculus AB Multiple Choice 2008 Question 1
AP Calculus AB Multiple Choice 2008 Question 2

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AP Calculus AB Multiple Choice 2008 Question 3
3. If f(x) = (x - 1)(x² + 2)³ then f'(x) = AP Calculus AB Multiple Choice 2008 Question 4

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AP Calculus AB Multiple Choice 2008 Question 5

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AP Calculus AB Multiple Choice 2008 Question 6
6. Let f be the function defined above. Which of the following statements about f are true?
I. f has a limit at x = 2.
II. f is continuous at x = 2.
III. f is differentiable at x = 2. AP Calculus AB Multiple Choice 2008 Question 7
7. A particle moves along the x-axis with velocity given by v(t) = 3t² + 6t for time t ≥ 0. If the particle is at position x = 2 at time t = 0, what is the position of the particle at t =1?

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AP Calculus AB Multiple Choice 2008 Question 8
8. If f(x) = cos(3x), then f'(π/9) =
AP Calculus AB Multiple Choice 2008 Question 9
9. The graph of the piecewise linear function f is shown in the figure above. If which of the following values is greatest?

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AP Calculus AB Multiple Choice 2008 Question 10
10. The graph of function f is shown above for 0 3. ≤ ≤x Of the following, which has the least value? AP Calculus AB Multiple Choice 2008 Question 11
11. The graph of a function f is shown above. Which of the following could be the graph of f ', the derivative of f ?

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AP Calculus AB Multiple Choice 2008 Question 12
12. If f(x) = e^(2x) then f'(x) =

AP Calculus AB Multiple Choice 2008 Question 13
13. If f(x) = x² + 2x, then d/dx (f(lnx)) = AP Calculus AB Multiple Choice 2008 Question 14
14. The polynomial function f has selected values of its second derivative f' given in the table above. Which of the following statements must be true?

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AP Calculus AB Multiple Choice 2008 Question 15
15. ∫x/(x² - 4) dx = AP Calculus AB Multiple Choice 2008 Question 16
16. If sin(xy) = x, then dy/dx =

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AP Calculus AB Multiple Choice 2008 Question 17
17. The graph of the function f shown above has horizontal tangents at x = 2 and x = 5. Let g be the function defined by g(x) = ∫f(t)dt. For what values of x does the graph of g have a point of inflection? AP Calculus AB Multiple Choice 2008 Question 18
18. In the xy-plane, the line x + y = k, where k is a constant, is tangent to the graph of y = x² + 3x + 1. What is the value of k ?

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AP Calculus AB Multiple Choice 2008 Question 19
19. What are all horizontal asymptotes of the graph of y = (5 + 2^x)/(1 - 2^x) in the xy-plane? AP Calculus AB Multiple Choice 2008 Question 20
20. Let f be a function with a second derivative given by f'(x) = x²(x - 3)(x - 6). What are the x-coordinates of the points of inflection of the graph of f ?

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2008 Test Prepa Calculus Pdf

AP Calculus AB Multiple Choice 2008 Question 21
21. A particle moves along a straight line. The graph of the particle’s position x(t)) at time t is shown above for 0 < t < 6. The graph has horizontal tangents at t = 1 and t = 5 and a point of inflection at t = 2. For what values of t is the velocity of the particle increasing? AP Calculus AB Multiple Choice 2008 Question 22
22. A rumor spreads among a population of N people at a rate proportional to the product of the number of people who have heard the rumor and the number of people who have not heard the rumor. If p denotes the number of people who have heard the rumor, which of the following differential equations could be used to model this situation with respect to time t, where k is a positive constant?

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AP Calculus AB Multiple Choice 2008 Question 23
23. Which of the following is the solution to the differential equation dy/dx = x²/y with the initial condition y(3) = -2? AP Calculus AB Multiple Choice 2008 Question 24
24. IThe function f is twice differentiable with f(2) = 1, f'(2) = 4 and f'(2) = 3. What is the value of the approximation of f (1.9) using the line tangent to the graph of f at x = 2?

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AP Calculus AB Multiple Choice 2008 Question 25
25. Let f be the function defined above, where c and d are constants. If f is differentiable at x = 2, what is the value of c + d ? AP Calculus AB Multiple Choice 2008 Question 26
26. What is the slope of the line tangent to the curve y x = arctan(4x) at the point at which x = 1/4?

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AP Calculus AB Multiple Choice 2008 Question 27
27. Shown above is a slope field for which of the following differential equations? AP Calculus AB Multiple Choice 2008 Question 28
28. Let f be a differentiable function such that f(3) = 15, f(6) = 3, f'(3) = -8 and f'(6) = -2. The function g is differentiable and g(x) = f'(x) for all x . What is the value of g'(3) ?

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This 2008 AP® Calculus BC Free-Response Questions ap test prep also includes:

• Scoring Guidelines
• Sample Responses Q1
• Sample Responses Q2
• Sample Responses Q3
• Sample Responses Q4
• Sample Responses Q5
• Sample Responses Q6

2008 Test Prepa Calculus 3

The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out that there is a need for practice of writing justifications and using clear and mathematically precise language in his comments. Teachers use the examples to model other questions throughout the year to illicit writing.

Concepts

Instructional Ideas

• Randomly give the questions out to the class and have classmates with the same question work on them together
• Distribute a question at the beginning of the unit covering the topic it covers
  

Classroom Considerations

• Scholars should be comfortable with the content found in a Calculus BC course

Pros

2008 Test Prepa Calculus 1

• Contains scoring statistics for each question
• Provides sample responses with explanations of their scores

2008 Test Prepa Calculus 2

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