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AP Calculus Ab

Subjects : math, ap, calculus
  • Answer 50 questions in 15 minutes.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. If there is some number B that is greater than or equal to every number in the range of f

2. Curve whose points are at a fixed normal distance of a given curve

3. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve

4. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

5. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.

6. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative

7. A function that is continuous at every point on the interval

8. A measure of how a function changes as its input changes.

9. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives

10. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)

11. A function f that gives the position f(t) of a body on a coordinate axis at time t

12. Functions of angles

13. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end

14. The function that is integrated in an integral

15. A limit in which f(x) increases or decreases without bound - as x approaches c

16. A function whose domain is divided into several parts and a different function rule is applied to each part

17. A given value of x and f(x) used to find the constant of integration

18. The mathematical process of obtaining the derivative of a function

19. The limit of f as x approaches c from the right

20. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)

21. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0

22. Any value in the domain where either the function is not differentiable or its derivative is 0.

23. Two curves that have perpendicular tangents at the point of tangency

24. The value of the function at a critical point

25. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N

26. The local and global maximums and minimums of a function

27. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions

28. Intervals on which the second derivative is negative

29. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))

30. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary

31. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables

32. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].

33. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum

34. If there is some number b that is less than or equal to every number in the range of f

35. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change

36. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)

37. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)

38. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph

39. A straight line that is the limiting value of a curve

40. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0

41. N(1-r)^x

42. Input of function

43. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val

44. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)

45. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.

46. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit

47. The behavior of the graph of a function as x approaches positive infinity or negative infinity

48. The value of the function approaches as x increases or decreases without bound

49. sinA/a=sinB/b=sinC/c

50. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates