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






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






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






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






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






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






7. 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)






8. 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






9. The inverse of an eponential function






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






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






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






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






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






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






16. N(1-r)^x






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






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






19. d = v[( x2 - x1)² + (y2 - y1)²]






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






21. The value of the function at a critical point






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






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






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






25. 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)






26. Input of function






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






28. 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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29. 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






30. 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






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






32. sinA/a=sinB/b=sinC/c






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






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






35. ex) dx - dy etc






36. 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






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






38. Functions of angles






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






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






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






42. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






43. Dividing an interval into n sub-intervals






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






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






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. 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)






48. A²=(b²+c²)-2(ab)Cos(A)






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






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







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