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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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 method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






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






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






4. 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)






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. 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)






7. Functions of angles






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






9. The function that is integrated in an integral






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






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






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






13. 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






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






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






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






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






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






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






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






21. 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)






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






23. The inverse of an eponential function






24. The smallest y-value of the function






25. 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






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






27. 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.






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






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






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






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






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






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






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






35. 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)






36. 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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37. N(1-r)^x






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






39. 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






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






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






42. Having the limits or boundaries established






43. d = v[( x2 - x1)² + (y2 - y1)²]






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






45. The process of evaluating an indefinite integral






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






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






48. 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






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






50. Dividing an interval into n sub-intervals