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






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






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






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






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






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






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






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






9. dy/dx






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






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






13. Amount of change / time it takes (amount of change/ length of interval)






14. The value of the function approaches as x increases or decreases without bound






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






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






17. 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)






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






19. An undetermined constant added to every result of integration (the added +c)






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






21. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






25. Intervals in which the second derivative is positive






26. 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






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






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






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






31. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






32. 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






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






34. Dividing an interval into n sub-intervals






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






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






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






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






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






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






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






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






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






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






45. ex) dx - dy etc






46. Having the limits or boundaries established






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






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






49. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






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