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






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






3. Intervals in which the second derivative is positive






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






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






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






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






8. The inverse of an eponential function






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






10. 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






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






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






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






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






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






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






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






18. A point where a function changes concavity; also - where the second derivative changes signs






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






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






22. 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






23. 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))






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






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






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






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






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






29. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






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






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






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






33. 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






34. N(1-r)^x






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






36. The value of the function at a critical point






37. d = v[( x2 - x1)² + (y2 - y1)²]






38. 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






39. dy/dx






40. 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)






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






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






43. Input of function






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






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






46. 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






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






48. 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






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






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