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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






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






3. 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






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






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






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






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






8. The process by which an antiderivative is calculated






9. The function that is integrated in an integral






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






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






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






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






14. The absolute value or magnitude of velocity






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






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






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






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






19. The reciprocal of the cosine function






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






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






22. A function such that the following is true






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






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






25. A line through two points on the curve






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






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






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






29. The process of evaluating an indefinite integral






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






31. 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






32. The process of finding the derivative of a function






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






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






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






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






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 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






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






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






41. The horizontal axis of the Cartesian coordinate system






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






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






44. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






45. The inverse of the cosine function






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






47. A=x=b






48. The inverse of the sine function






49. The number which - when raised to the power of a given logarithm - produces a given number






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







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