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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 possesses a finite integral; the function must be continuous on the interval of integration






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






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






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






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






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






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






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






9. 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






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






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






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






13. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






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






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






16. Input of function






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






18. The process of evaluating an indefinite integral






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






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






21. 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)






22. ex) dx - dy etc






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






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






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






26. 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)






27. A measure of how a function changes as its input changes.






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






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






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






31. 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)






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






33. 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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34. 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






35. 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






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






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






38. 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






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






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






41. Intervals in which the second derivative is positive






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






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






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






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






46. 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)






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






48. A²=(b²+c²)-2(ab)Cos(A)






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






50. The value of the function at a critical point