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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. Any value in the domain where either the function is not differentiable or its derivative is 0.






2. 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






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






4. dy/dx






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






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






7. 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






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






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






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






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






12. Having the limits or boundaries established






13. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






14. Functions of angles






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






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






17. A²=(b²+c²)-2(ab)Cos(A)






18. The smallest y-value of the function






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






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






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






22. N(1-r)^x






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






24. The value of the function at a critical point






25. 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)






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






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






28. 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))






29. 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






30. 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)






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






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






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






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






35. 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






36. 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






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






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






39. 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






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






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






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






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






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






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






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






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






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






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