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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 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.






2. 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






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






4. The inverse of the sine function






5. 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






6. 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






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






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






9. The reciprocal of the cosine function






10. The vertical axis of the Cartesian coordinate system






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






12. 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






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






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






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






16. The process of evaluating an indefinite integral






17. The absolute value or magnitude of velocity






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






19. The process by which an antiderivative is calculated






20. A line around which some body or curve rotates






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






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






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






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






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






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






27. Slope between two points on a function






28. A line through two points on the curve






29. The reciprocal of the sine function






30. 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






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






32. 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






33. A line around which a geometric figure is symmetrical






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






35. A=x=b






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






37. The inverse of the tangent function






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






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






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






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






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






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






44. 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






45. 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






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






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






48. The horizontal axis of the Cartesian coordinate system






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






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