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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. 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)






2. ex) dx - dy etc






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






4. The smallest y-value of the function






5. 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






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






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






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






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






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






11. The value of the function at a critical point






12. Dividing an interval into n sub-intervals






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






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






15. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






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






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






18. 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






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






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






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






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






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






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






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






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






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






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






29. 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






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






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. dy/dx






35. 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






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






37. Input of function






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






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






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






41. 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






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






43. 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)






44. 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))






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






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






47. The inverse of an eponential function






48. 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






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






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







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