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






2. A=x=b






3. The rate of change of the velocity with respect to time. the second derivative of a position function






4. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






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






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






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






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






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






11. A function such that the following is true






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






13. The function that is integrated in an integral






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






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






16. The absolute value or magnitude of velocity






17. A line around which a geometric figure is symmetrical






18. 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






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






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






21. The smallest value of a function for each value of the domain






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






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






24. The inverse of the sine function






25. 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






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






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






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






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






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






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






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






33. 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






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






35. The vertical axis of the Cartesian coordinate system






36. 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 midpoint of the sub-interval






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






38. A line through two points on the curve






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






40. 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






41. A line around which some body or curve rotates






42. The derivative of the first derivative






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






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






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






46. The reciprocal of the cosine function






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






48. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






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






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