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






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






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






4. 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)






5. A line that divides a figure in half so that each half is the mirror image of the other.






6. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






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






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






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






10. 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






11. 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






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






13. 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






14. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






16. The smallest y-value of the function






17. Intervals in which the second derivative is positive






18. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






19. 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.






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






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






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






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






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






25. If there is some number b that is less than or equal to every number in the range of f






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






27. sinA/a=sinB/b=sinC/c






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






29. dy/dx






30. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






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






32. 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 right-most point of the sub-interval






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






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






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






37. ex) dx - dy etc






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






39. Input of function






40. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






41. The process of evaluating an indefinite integral






42. 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)






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






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






45. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






46. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






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






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






49. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






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