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






2. The smallest y-value of the function






3. The function that is integrated in an integral






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






5. 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






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






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






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






9. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






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






11. Intervals in which the second derivative is positive






12. The process of evaluating an indefinite integral






13. 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






14. Having the limits or boundaries established






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






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






18. 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.






19. 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






20. 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)






21. 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)






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






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






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






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






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






28. Any value in the domain where either the function is not differentiable or its derivative is 0.






29. 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)






30. dy/dx






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






32. Functions of angles






33. N(1-r)^x






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






35. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






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






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






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






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






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






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






43. 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






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






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






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






47. 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






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






49. The value of the function at a critical point






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