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






2. 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






3. 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






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






5. The process of evaluating an indefinite integral






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






7. The smallest y-value of the function






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






9. 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






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






11. Input of function






12. The inverse of an eponential function






13. 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))






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






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






16. 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






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






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






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






20. Dividing an interval into n sub-intervals






21. 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)






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






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






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






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






26. 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.


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






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






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






30. ex) dx - dy etc






31. Intervals on which the second derivative is negative






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






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






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






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






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






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






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






40. 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)






41. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






46. 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






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






48. 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)






49. dy/dx






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