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AP Calculus Ab

Subjects : math, ap, calculus
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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 local and global maximums and minimums of a function

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

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

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

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

6. 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

7. Amount of change / time it takes (amount of change/ length of interval)

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

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

10. The value that a function is approaching as x approaches a given value through values less than x

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

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

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

14. 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.

15. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)

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

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

18. A function that is continuous on both the left and right side at that point

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

20. ex) dx - dy etc

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

22. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0

23. A point where a function changes concavity; also - where the second derivative changes signs

24. 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

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

26. The inverse of an eponential function

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

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

29. 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

30. The smallest y-value of the function

31. 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)

32. 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

33. The function that is integrated in an integral

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

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

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

37. The process of evaluating an indefinite integral

38. 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)

39. 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))

40. 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

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

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

43. Imaginary line drawn perpendicular to the surface of a mirror or any surface

44. Functions of angles

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

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

47. 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

48. N(1-r)^x

49. Having the limits or boundaries established

50. A logarithm with the base e - written as ln