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






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






3. N(1-r)^x






4. The function that is integrated in an integral






5. The smallest y-value of the function






6. Having the limits or boundaries established






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






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






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






10. Dividing an interval into n sub-intervals






11. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






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






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






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






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






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






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






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






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






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






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






24. 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






25. d = v[( x2 - x1)² + (y2 - y1)²]






26. Input of function






27. 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






28. 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)






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






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






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






32. The process of evaluating an indefinite integral






33. The reciprocal of the sine function






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






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






36. 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






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






38. 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)






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






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






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






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






44. 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






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






46. 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






47. Intervals in which the second derivative is positive






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






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






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