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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. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






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






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






4. The process of evaluating an indefinite integral






5. Dividing an interval into n sub-intervals






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






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






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






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






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






11. Intervals in which the second derivative is positive






12. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






13. The function that is integrated in an integral






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






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






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






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






18. d = v[( x2 - x1)² + (y2 - y1)²]






19. A²=(b²+c²)-2(ab)Cos(A)






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






21. 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






22. Functions of angles






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






24. A function whose domain is divided into several parts and a different function rule is applied to each part






25. 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)






26. Having the limits or boundaries established






27. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






28. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






30. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






31. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






33. 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






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






35. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






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






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






38. N(1-r)^x






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






40. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






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






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






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 of an x-intercept of the graph






44. 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






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






46. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






47. A logarithm with the base e - written as ln






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






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






50. 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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