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AP Calculus Ab

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. The maximum distance that the particles of a wave's medium vibrate from their rest position






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






3. The value of the function at a critical point






4. The distance a number is from 0 on a number line






5. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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6. The smallest y-value of the function






7. 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






8. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






9. A variable occurring in a function - but on which the value of the function does not depend






10. Ratio between the length of an arc and its radius






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






12. Curve whose points are at a fixed normal distance of a given curve






13. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






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






15. dy/dx






16. A limit in which f(x) increases or decreases without bound - as x approaches c






17. A straight line that is the limiting value of a curve






18. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






19. A given value of x and f(x) used to find the constant of integration






20. A surface or shape exposed by making a straight cut through something at right angles to the axis.






21. A point that represents the maximum value a function assumes over its domain






22. The process of evaluating an indefinite integral






23. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






24. N(1-r)^x






25. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






26. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






27. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






29. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






30. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






31. The value that a function is approaching as x approaches a given value through values less than x






32. Imaginary line drawn perpendicular to the surface of a mirror or any surface






33. The behavior of the graph of a function as x approaches positive infinity or negative infinity






34. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






35. d = v[( x2 - x1)² + (y2 - y1)²]






36. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






37. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






38. A function that can be graphed w/ a line or smooth curve






39. 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






40. Having the limits or boundaries established






41. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






42. (geometry)A curve generated by the intersection of a plane or circular cone






43. If there is some number B that is greater than or equal to every number in the range of f






44. Input of function






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






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






47. The mathematical process of obtaining the derivative of a function






48. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






49. Selection of a best element from some set of available alternatives.






50. Two curves that have perpendicular tangents at the point of tangency