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






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






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






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






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






6. A variable occurring in a function - but on which the value of the function does not depend






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






8. 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






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






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






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






12. 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






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






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






15. The reciprocal of the sine function






16. 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))






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






18. The function that is integrated in an integral






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






20. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






22. 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






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






24. 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






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






26. The process of evaluating an indefinite integral






27. The value of the function at a critical point






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






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






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






31. Dividing an interval into n sub-intervals






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






33. 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.


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






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






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






37. Intervals in which the second derivative is positive






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






39. 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






40. 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.






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






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






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






44. 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)






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






46. Having the limits or boundaries established






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






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






49. 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






50. 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