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AP Calculus Vocab

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. A number which serves as an estimate of a desired number






2. The vertical axis of the Cartesian coordinate system






3. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






4. A=x=b






5. An indefinite integral. an arbitrary constant '+c' is included






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






7. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






8. An arbitrary constant term in the expression of the indefinite integral of a function






9. The differentiation of an implicit function with respect to the independent variable






10. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint






11. 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 or an x-intercept of the graph






12. The function that is integrated in an integral






13. The rate of change of position with respect to time






14. The inverse of the cosine function






15. For all x in [a -b] - f'(x)>0






16. In an application - maximizing or minimizing some aspect of the system being modeled






17. 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






18. The solid figure generated by revolving a plane region around a line






19. The set of all values that can be assumed by the independent variable of a function






20. The reciprocal of the tangent function






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






22. The point (0 -0) in the Cartesian coordinate plane






23. The ratio x/r with r being the distance of (x -y) from the origin






24. A segment from the center of the circle to a point on the circle






25. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






26. 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






27. The number which - when raised to the power of a given logarithm - produces a given number






28. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






29. Any ordered pair (x -y) where f'(x)=0 or is undefined






30. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






31. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






32. For all x in [a -b] - f'(x)<0






33. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






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






37. A line around which a geometric figure is symmetrical






38. 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






39. The function y=lnx is the inverse of the exponential function y=e^x






40. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






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






42. A function has a relative minimum if the derivative changes signs from negative to zero to positive






43. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






44. The reciprocal of the sine function






45. A method of obtaining the derivative of a composite function






46. The set of points in a plane that are equidistant from a given point






47. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






48. If a function has a well-defined derivative for each element of the domain






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






50. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint