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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 limit of f as x approaches c from the right






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. The value that a function is approaching as x approaches a given value through values less than x






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






5. 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






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






7. 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






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






9. Dividing an interval into n sub-intervals






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






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






12. 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






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






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






15. A given value of x and f(x) used to find the constant of integration






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






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






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






19. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






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






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






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






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






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






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






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






27. 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))






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






29. 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)






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






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






32. 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






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






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






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






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






37. N(1-r)^x






38. The function that is integrated in an integral






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






40. 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






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






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






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






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






45. 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






46. The reciprocal of the sine function






47. 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






48. 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.






49. 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)






50. dy/dx







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