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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. ex) dx - dy etc






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






3. 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






4. 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






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






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






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






8. dy/dx






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






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






11. 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






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






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






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






15. Functions of angles






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






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






18. N(1-r)^x






19. A²=(b²+c²)-2(ab)Cos(A)






20. 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)






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






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






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






24. 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






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






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






27. The value of the function at a critical point






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






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






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






31. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






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






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






34. The reciprocal of the sine function






35. 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)






36. A function f that gives the position f(t) of a body on a coordinate axis at time t






37. 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






38. The inverse of an eponential function






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






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






41. 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))






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






43. 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






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






45. d = v[( x2 - x1)² + (y2 - y1)²]






46. 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






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 right-most point of the sub-interval






48. The process of evaluating an indefinite integral






49. The smallest y-value of the function






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