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

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

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

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

5. The function that is integrated in an integral

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

7. ex) dx - dy etc

8. 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

9. Input of function

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

11. 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

12. 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

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

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

15. 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

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

17. Intervals in which the second derivative is positive

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

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

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

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. 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))

23. The distance a number is from 0 on a number line

24. 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)

25. 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

26. dy/dx

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

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

29. 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

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

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

32. Functions of angles

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

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

35. 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)

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

37. Intervals on which the second derivative is negative

38. The inverse of an eponential function

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

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

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

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

44. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)

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

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

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

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

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

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