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






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






3. The highest value of a function for each value of the domain






4. The vertical axis of the Cartesian coordinate system






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. The reciprocal of the tangent function






7. 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






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






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






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






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






12. 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






13. A line around which a geometric figure is symmetrical






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






15. A function that is defined by applying different formulas to different parts of its domain






16. Having an increasing derivative as the independent variable increases - having a positive second derivative






17. The x-coordinate of the point where a curve intersects the x-axis






18. The inverse of the sine function






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






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






21. Notation used for the first derivative of a function






22. Local maximums of minimums of a function






23. 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






24. In integrating composite function - either using pattern recognition or change of variables to perform the integration






25. Any function closely related to the exponential function - and in particular y=a^x - for any a






26. The horizontal axis of the Cartesian coordinate system






27. Having a decreasing derivative as the independent variable increases; having a negative second derivative






28. f(-x)= -f(x)






29. A function that can be expressed in the form f(x)=mx+b






30. The process of finding the derivative of a function






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






32. 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






33. The absolute value or magnitude of velocity






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






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






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






37. The inverse of the tangent function






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






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






40. The derivative of the first derivative






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






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






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






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






45. The reciprocal of the sine function






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






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






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






49. The inverse of the cosine function






50. 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







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