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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 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






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






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






4. 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






5. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






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






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






9. 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






10. 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






11. d = v[( x2 - x1)² + (y2 - y1)²]






12. 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






13. Functions of angles






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






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






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






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






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






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






20. ex) dx - dy etc






21. dy/dx






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






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






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






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






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






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






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






29. Having the limits or boundaries established






30. 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






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






32. A²=(b²+c²)-2(ab)Cos(A)






33. Dividing an interval into n sub-intervals






34. The reciprocal of the sine function






35. Intervals in which the second derivative is positive






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






37. 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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38. Input of function






39. 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)






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






41. The function that is integrated in an integral






42. The process of evaluating an indefinite integral






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






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






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






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






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






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






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






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