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

2. 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

3. An undetermined constant added to every result of integration (the added +c)

4. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined

5. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives

6. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum

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

8. The reciprocal of the sine function

9. 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.

10. Having the limits or boundaries established

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

12. 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)

13. A=(b+c)-2(ab)Cos(A)

14. The smallest y-value of the function

15. Intervals in which the second derivative is positive

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

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

18. Input of function

19. d = v[( x2 - x1) + (y2 - y1)]

20. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1

21. 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)

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

23. A function that can be graphed w/ a line or smooth curve

24. Functions of angles

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

26. The maximum distance that the particles of a wave's medium vibrate from their rest position

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

28. 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

29. 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

30. The inverse of an eponential function

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

32. A variable occurring in a function - but on which the value of the function does not depend

33. A point that represents the maximum value a function assumes over its domain

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

35. The process of evaluating an indefinite integral

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

37. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative

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

39. N(1-r)^x

40. Dividing an interval into n sub-intervals

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

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

43. A line that divides a figure in half so that each half is the mirror image of the other.

44. 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

45. Intervals on which the second derivative is negative

46. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the left most point of the sub-interval

47. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.

48. Ratio between the length of an arc and its radius

49. 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

50. A surface or shape exposed by making a straight cut through something at right angles to the axis.