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






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






3. 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






4. 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))






5. 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.


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






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 logarithm with the base e - written as ln






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






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






11. 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






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






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






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






15. 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






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






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






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






19. N(1-r)^x






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






21. 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)






22. Intervals on which the second derivative is negative






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






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






25. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit






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






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






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






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






30. 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






31. 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






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






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






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






35. The reciprocal of the sine function






36. The process of evaluating an indefinite integral






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






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 left most point of the sub-interval






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






40. The value of the function at a critical point






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






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






43. Dividing an interval into n sub-intervals






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






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






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






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






48. 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)






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






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