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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. A²=(b²+c²)-2(ab)Cos(A)






3. The process of evaluating an indefinite integral






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






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






6. d = v[( x2 - x1)² + (y2 - y1)²]






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






8. Having the limits or boundaries established






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






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






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






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






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






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






15. The local and global maximums and minimums of a function






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






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






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






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






20. 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






21. The function that is integrated in an integral






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






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






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






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






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






27. 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






28. Input of function






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






30. 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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31. 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)






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






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






34. Functions of angles






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






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






37. Intervals in which the second derivative is positive






38. Dividing an interval into n sub-intervals






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






40. 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






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






42. 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)






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






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






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






46. 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)






47. 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






48. 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






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






50. 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