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






2. A limit in which f(x) increases or decreases without bound - as x approaches c






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






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






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






6. Dividing an interval into n sub-intervals






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






8. Intervals in which the second derivative is positive






9. 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






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






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






12. dy/dx






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






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






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






16. Intervals on which the second derivative is negative






17. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






18. 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)






19. 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






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






21. 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)






22. 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






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






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






25. Having the limits or boundaries established






26. 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






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






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






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






30. 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)






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






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






33. 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))






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






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






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






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






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






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






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






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






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






43. The function that is integrated in an integral






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






45. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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 right-most point of the sub-interval






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 left most point of the sub-interval






48. 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






49. Input of function






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