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






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






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






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






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






6. Input of function






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






8. Having the limits or boundaries established






9. Dividing an interval into n sub-intervals






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






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






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






13. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






14. The inverse of an eponential function






15. 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)






16. 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






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






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






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






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






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






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






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






24. 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.






25. The function that is integrated in an integral






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






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






28. Functions of angles






29. The process of evaluating an indefinite integral






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






31. ex) dx - dy etc






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






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






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






35. 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)






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






38. 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)






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






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






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






42. 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






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






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






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






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






47. A²=(b²+c²)-2(ab)Cos(A)






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






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






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