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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. Functions of angles






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






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






4. 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






5. The inverse of an eponential function






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






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






8. A point where a function changes concavity; also - where the second derivative changes signs






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






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






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






12. 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)






13. N(1-r)^x






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






15. 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)






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






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






18. A²=(b²+c²)-2(ab)Cos(A)






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






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






21. 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






22. The function that is integrated in an integral






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






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






25. The reciprocal of the sine function






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






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






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






30. dy/dx






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






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






33. 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)






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






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






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






37. 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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38. Intervals on which the second derivative is negative






39. The process of evaluating an indefinite integral






40. ex) dx - dy etc






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






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






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






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






45. 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






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






47. Having the limits or boundaries established






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






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






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







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