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






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






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






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






5. 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))






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






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






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






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






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






11. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






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






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






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






15. 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






16. 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






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






18. 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.






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






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






21. 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






22. Input of function






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






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






25. The value of the function at a critical point






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






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






29. 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)






30. Dividing an interval into n sub-intervals






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






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






33. Functions of angles






34. The smallest y-value of the function






35. 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






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






37. The process of evaluating an indefinite integral






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






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






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






41. ex) dx - dy etc






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






43. 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)






44. 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






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






46. The reciprocal of the sine function






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






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






49. 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






50. 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