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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. 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






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






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






4. The function that is integrated in an integral






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






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






7. ex) dx - dy etc






8. Input of function






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






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






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






12. 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)






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






14. Intervals on which the second derivative is negative






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






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






17. 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






18. 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






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






20. Dividing an interval into n sub-intervals






21. Having the limits or boundaries established






22. 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.






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






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






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






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






27. 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






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






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






30. 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






31. 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)






32. The smallest y-value of the function






33. 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






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






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






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






37. 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)






38. 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






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






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






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






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






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






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






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






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






47. A²=(b²+c²)-2(ab)Cos(A)






48. Functions of angles






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






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