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AP Calculus AB Midterm Review

Practice problems with solutions for AP Calculus AB midterm exam. Explore concepts of calculus including tangent lines, inflection points, and rates of change. Graphing calculator allowed.

william-kennedy
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AP Calculus AB Midterm Review

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  1. AP Calculus AB Midterm Review

  2. , then is If A. B. C. D.

  3. If , then

  4. Write the equation of the line tangent to at

  5. The graph of has vertical asymptote(s) at

  6. concave up? For what values of x is

  7. If f(1)=2 and f’(1)=5, use the equation of the tangent line to the graph of f(x) at x=1 to approximate f(1.2).

  8. The graph of f ‘(x) is shown at right. Which of the following could be the graph of f (x)? f ‘(x) A. B. C. D. E.

  9. Which of the following statements is true about the figure at right? -7 -3 5 A. exists exists B. C. D. E.

  10. How many points of inflection are there for the function ? on the interval 0 1 2 3 4

  11. GRAPHING CALCULATOR ALLOWED . Consider the function For what value(s) of x is the slope of the tangent line equal to 5?

  12. A pebble thrown into a pond creates circular ripples such that the rate of change of the radius is 6 cm/sec. How fast is the area of the ripple changing when the circumference is cm? sq.cm./sec. sq.cm./sec. sq.cm./sec. sq.cm./sec. sq.cm./sec.

  13. GRAPHING CALCULATOR ALLOWED Find the average rate of change of on the interval . 0.396 0.955 1.350 1.910 Undefined

  14. In the figure shown at right, which of the following is true? A. B. C. D. E. The average rate of change of f(x) on [1,3] equals

  15. A function f(x) is continuous on [a,b]. Which of the following must be true? f has a maximum on [a,b] B. f has a point of inflection on [a,b] for at least one c in the interval [a,b] C. D. for at least one c in the interval [a,b] E. f has a critical value on the interval (a,b)

  16. , then If

  17. CHALLENGE!

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