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

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

4. The process of evaluating an indefinite integral

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

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

7. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.

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

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

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

11. Input of function

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

13. The reciprocal of the sine function

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

15. 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))

16. Graph is symmetrical with respect to the origin; f(-x)=-f(x)

17. 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)

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

19. dy/dx

20. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)

21. ex) dx - dy etc

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

23. 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

24. The inverse of an eponential function

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

26. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x

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

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

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

30. 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

31. The function that is integrated in an integral

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

33. A function that possesses a finite integral; the function must be continuous on the interval of integration

34. Dividing an interval into n sub-intervals

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

36. 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

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

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

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

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

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

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

43. 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

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

45. 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)

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. 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

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

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

50. Functions of angles