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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 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






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






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






4. 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.






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






6. The inverse of the sine function






7. 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






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






9. The absolute value or magnitude of velocity






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






11. A line around which a geometric figure is symmetrical






12. 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






13. The vertical axis of the Cartesian coordinate system






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






15. The reciprocal of the cosine function






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






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






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






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






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






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






22. 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






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






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






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






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






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






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






29. Notation used for the first derivative of a function






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






31. A line around which some body or curve rotates






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






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






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






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






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






37. 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






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






39. The reciprocal of the sine function






40. 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






41. Slope between two points on a function






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






43. The process of evaluating an indefinite integral






44. A point where a function changes concavity; also - where the second derivative changes signs






45. 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






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






47. The inverse of the cosine function






48. The derivative of the first derivative






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






50. A function such that the following is true