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






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






3. 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






4. The process of finding the derivative of a function






5. 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






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






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






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






9. 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.






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






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






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






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






14. 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






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






16. Either of the endpoints of an interval over which a definite integral is to be evaluated






17. 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






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






19. The horizontal axis of the Cartesian coordinate system






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






21. A line around which a geometric figure is symmetrical






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






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






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






25. 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






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






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






28. Any ordered pair (x -y) where f'(x)=0 or is undefined






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






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






31. The inverse of the tangent function






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






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






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






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






36. The inverse of the cosine function






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






38. A=x=b






39. 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






40. The process of evaluating an indefinite integral






41. 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






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






43. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






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






45. 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






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






47. The amount of change divided by the time it takes






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






49. Slope between two points on a function






50. The reciprocal of the sine function