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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 function that is integrated in an integral






2. 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






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






4. 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.






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






6. 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






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






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






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






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






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






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






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






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






15. 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






16. The process of evaluating an indefinite integral






17. d = v[( x2 - x1)² + (y2 - y1)²]






18. The smallest y-value of the function






19. The inverse of an eponential function






20. 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






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






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






24. 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






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






26. N(1-r)^x






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






28. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






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






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






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






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






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






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






35. The reciprocal of the sine function






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






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






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






39. dy/dx






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






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






42. ex) dx - dy etc






43. Intervals in which the second derivative is positive






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






45. 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)






46. Input of function






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






48. Intervals on which the second derivative is negative






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






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