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






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






3. N(1-r)^x






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






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






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






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






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






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






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






11. The process of evaluating an indefinite integral






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






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






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






15. The function that is integrated in an integral






16. 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






17. 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






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






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






20. Having the limits or boundaries established






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






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






23. Functions of angles






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






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






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






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






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






29. The smallest y-value of the function






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






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. The local and global maximums and minimums of a function






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






34. 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






35. Dividing an interval into n sub-intervals






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






37. 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






38. 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






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






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






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






43. 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






44. 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






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






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






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






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






49. Intervals in which the second derivative is positive






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






Can you answer 50 questions in 15 minutes?



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