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






2. Intervals on which the second derivative is negative






3. dy/dx






4. 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






5. 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)






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






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






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






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






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






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






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






13. Intervals in which the second derivative is positive






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






15. A²=(b²+c²)-2(ab)Cos(A)






16. The inverse of an eponential function






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






18. 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))






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






20. 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






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






22. A function that possesses a finite integral; the function must be continuous on the interval of integration






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






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






25. Dividing an interval into n sub-intervals






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. 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






28. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






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






31. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






32. 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)






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






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






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






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






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






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






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






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






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






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






43. Having the limits or boundaries established






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






45. ex) dx - dy etc






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






47. 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 left most point of the sub-interval






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






49. The value of the function at a critical point






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