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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. 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)






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






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






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






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






7. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






8. The function that is integrated in an integral






9. The process of evaluating an indefinite integral






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






11. Functions of angles






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






13. Intervals on which the second derivative is negative






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






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






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






17. 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)






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






19. 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.






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






21. 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))






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






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






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






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






26. ex) dx - dy etc






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






28. 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






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






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






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






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






33. Input of function






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






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






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






37. Having the limits or boundaries established






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






39. 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






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






41. 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






42. Dividing an interval into n sub-intervals






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






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






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






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






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






48. 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






49. The reciprocal of the sine function






50. N(1-r)^x