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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 midpoint of the sub-interval






2. 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






3. The process of finding the derivative of a function






4. 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






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






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






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






8. 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






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






10. 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






11. 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)






12. 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






13. A line around which some body or curve rotates






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






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






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






17. The absolute value or magnitude of velocity






18. Slope between two points on a function






19. A line through two points on the curve






20. A line around which a geometric figure is symmetrical






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






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






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






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






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






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






27. Local maximums of minimums of a function






28. The inverse of the tangent function






29. The reciprocal of the sine function






30. 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.






31. The vertical axis of the Cartesian coordinate system






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






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






34. The function that is integrated in an integral






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






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






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






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






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






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






41. The reciprocal of the cosine function






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






43. The reciprocal of the tangent function






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






45. 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






46. f(-x)= -f(x)






47. The process of evaluating an indefinite integral






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






49. A function that is continuous at every point on the interval






50. 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