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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. 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)






3. Dividing an interval into n sub-intervals






4. 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






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






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






7. Intervals on which the second derivative is negative






8. A function that is continuous at every point on the interval






9. The inverse of an eponential function






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






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






14. 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






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






16. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






17. Input of function






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






19. 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))






20. dy/dx






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






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






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






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






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






26. Having the limits or boundaries established






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






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






29. The process of evaluating an indefinite integral






30. 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






31. 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






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






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






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






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






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






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






38. 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)






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






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






41. 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






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






43. The function that is integrated in an integral






44. ex) dx - dy etc






45. 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






46. 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






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






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






49. 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






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