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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. A=x=b






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






3. The horizontal axis of the Cartesian coordinate system






4. The process of finding the derivative of a function






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






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






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






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






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






10. 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






11. The reciprocal of the sine function






12. 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






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






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






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






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






17. 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






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






19. 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






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






21. 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






22. 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






23. A line around which a geometric figure is symmetrical






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






25. 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






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






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






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






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






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






31. 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






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






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






34. Slope between two points on a function






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






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






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






38. Local maximums of minimums of a function






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






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. 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






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






44. A function such that the following is true






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






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






47. A line around which some body or curve rotates






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






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






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







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