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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. The horizontal axis of the Cartesian coordinate system






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






3. 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.






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






5. Slope between two points on a function






6. The process by which an antiderivative is calculated






7. The vertical axis of the Cartesian coordinate system






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






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






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






11. The derivative of the first derivative






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






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






14. 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






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






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






17. Notation used for the first derivative of a function






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






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






20. A function such that the following is true






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






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






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






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






25. 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






26. 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






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






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






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






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






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






32. 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






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






34. A line around which some body or curve rotates






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






36. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






37. 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.






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






39. The reciprocal of the cosine function






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






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






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






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






44. A line through two points on the curve






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






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






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






48. The reciprocal of the tangent function






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






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







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