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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 right-most point of the sub-interval






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






3. The process of evaluating an indefinite integral






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






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






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






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






8. A=x=b






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






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






11. Notation used for the first derivative of a function






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






13. f(-x)= -f(x)






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






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






16. 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.






17. The reciprocal of the cosine function






18. The horizontal axis of the Cartesian coordinate system






19. The y-coordinate of a point where a curve intersects the y-axis






20. 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






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






22. 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.






23. A line through two points on the curve






24. 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






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






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






27. The function that is integrated in an integral






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






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






30. Slope between two points on a function






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






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






33. The process of finding the derivative of a function






34. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






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






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






37. 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






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






39. The inverse of the sine function






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






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






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






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






44. The absolute value or magnitude of velocity






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






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






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






48. The inverse of the tangent function






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






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