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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 that is continuous on both the left and right side at that point






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






3. Functions of angles






4. 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






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






6. d = v[( x2 - x1)² + (y2 - y1)²]






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






8. Curve whose points are at a fixed normal distance of a given curve






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






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






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






12. The value of the function at a critical point






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






14. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






16. 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






17. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






23. The inverse of an eponential function






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






25. 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






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






27. 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






28. 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






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






30. 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






31. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






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






33. dy/dx






34. The function that is integrated in an integral






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






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






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






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






39. The local and global maximums and minimums of a function






40. The distance a number is from 0 on a number line






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






42. 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






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






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






45. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






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






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






48. Intervals on which the second derivative is negative






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






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






Can you answer 50 questions in 15 minutes?



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