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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 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






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






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






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






5. A=x=b






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






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






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






9. 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






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






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






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






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






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






15. A line around which some body or curve rotates






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






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






18. Slope between two points on a function






19. The y-coordinate of a point where a curve intersects the y-axis






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






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






22. The function that is integrated in an integral






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. A line around which a geometric figure is symmetrical






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






26. The inverse of the tangent function






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






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






29. Notation used for the first derivative of a function






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






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






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






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






34. A line perpendicular to a tangent line at the point of tangency






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






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 right-most point of the sub-interval






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






38. The absolute value or magnitude of velocity






39. 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






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






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






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






43. The vertical axis of the Cartesian coordinate system






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






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






46. The reciprocal of the sine function






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






48. The derivative of the first derivative






49. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






50. 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.