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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. 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)






2. Functions of angles






3. The smallest y-value of the function






4. 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)






5. dy/dx






6. 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






7. N(1-r)^x






8. Having the limits or boundaries established






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






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






11. ex) dx - dy etc






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






13. 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






14. 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






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






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






17. The value of the function at a critical point






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






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






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






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






22. 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






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. 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






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






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






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






29. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






31. 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))






32. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






33. 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)






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






35. The mathematical process of obtaining the derivative of a function






36. The function that is integrated in an integral






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






38. Input of function






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






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






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






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






43. Dividing an interval into n sub-intervals






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






45. 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)






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






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






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






49. 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






50. A straight line that is the limiting value of a curve







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