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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. Having the limits or boundaries established






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






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






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






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






6. 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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7. 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






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






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






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






11. 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)






12. The process of evaluating an indefinite integral






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






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






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






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






17. The value of the function at a critical point






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






19. 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)






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






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






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






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






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






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






26. 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






27. 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






28. 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






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






30. Functions of angles






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






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






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






34. 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






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






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






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






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






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






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






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






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






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






44. Amount of change / time it takes (amount of change/ length of interval)






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






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






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






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






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






50. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a







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