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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. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






2. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure






3. 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






4. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






5. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






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






7. Slope between two points on a function






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






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






10. The amount of change divided by the time it takes






11. The process of finding the derivative of a function






12. A=x=b






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






14. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






15. A line around which some body or curve rotates






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






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






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






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






20. The horizontal axis of the Cartesian coordinate system






21. 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






22. The local and global maximums and minumums of a function






23. In periodic functions - the height of the function at the maximum to the middle line






24. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






25. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






26. 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)






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






28. Any x values where f'(x)=0 or is undefined






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






30. A line through two points on the curve






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






32. The absolute value or magnitude of velocity






33. The process by which an antiderivative is calculated






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






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






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






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






38. Local maximums of minimums of a function






39. Notation used for the first derivative of a function






40. The derivative of the first derivative






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






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






43. The reciprocal of the cosine function






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






45. 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






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






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






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






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






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