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






2. 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






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






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






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






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






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






9. 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)






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






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






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. 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)






14. Dividing an interval into n sub-intervals






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






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






17. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






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






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






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






21. 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.






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






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






24. The smallest y-value of the function






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






26. 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






27. 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))






28. The reciprocal of the sine function






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






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






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






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






33. 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






34. dy/dx






35. N(1-r)^x






36. The function that is integrated in an integral






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






38. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






39. 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






40. 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






41. Functions of angles






42. ex) dx - dy etc






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






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






45. d = v[( x2 - x1)² + (y2 - y1)²]






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






47. 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






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






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






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