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

2. 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

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

4. 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

5. The reciprocal of the sine function

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

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

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

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

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

11. 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

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

13. 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

14. 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

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

16. Functions of angles

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

18. 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))

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

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

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

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

23. The process of evaluating an indefinite integral

24. dy/dx

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

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

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

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

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

30. 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)

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

32. 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

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

34. The value of the function at a critical point

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

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

37. The inverse of an eponential function

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

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

40. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h

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

42. 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)

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

44. 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

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

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

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

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

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

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