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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. 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

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

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

4. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)

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

6. The function that is integrated in an integral

7. Selection of a best element from some set of available alternatives.

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

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

10. 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))

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

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

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

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

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

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

17. The value of the function at a critical point

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

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

20. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly

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

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

23. 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

24. Intervals in which the second derivative is positive

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

26. 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

27. Intervals on which the second derivative is negative

28. The process of evaluating an indefinite integral

29. If there is some number B that is greater than or equal to every number in the range of f

30. dy/dx

31. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a

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

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

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

35. 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)

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

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

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

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

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

41. The inverse of an eponential function

42. The smallest y-value of the function

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

44. (geometry)A curve generated by the intersection of a plane or circular cone

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

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

47. ex) dx - dy etc

48. 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 right-most point of the sub-interval

49. A function that is a fixed numerical value for all elements of the domain of the function

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