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






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






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






4. A line around which a geometric figure is symmetrical






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






6. The process of finding the derivative of a function






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






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






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






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






11. The derivative of the first derivative






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






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






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






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






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






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






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






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






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






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






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






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






24. The vertical axis of the Cartesian coordinate system






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






26. The inverse of the cosine function






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






28. A function that is continuous on both the left and right side at that point






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






30. 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






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






32. 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






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






34. The process by which an antiderivative is calculated






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






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






37. 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






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






39. The reciprocal of the cosine function






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






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






43. 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






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






45. Local maximums of minimums of a function






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






47. f(-x)= -f(x)






48. 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






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






50. The horizontal axis of the Cartesian coordinate system







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