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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. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






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






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






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






5. The process of evaluating an indefinite integral






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






7. 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)






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






9. The smallest y-value of the function






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






11. A²=(b²+c²)-2(ab)Cos(A)






12. 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






13. Dividing an interval into n sub-intervals






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






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






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






17. 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






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






19. 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






20. 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






21. The function that is integrated in an integral






22. The value of the function at a critical point






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






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






25. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






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






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






28. dy/dx






29. 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






30. N(1-r)^x






31. 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






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






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






34. Two curves that have perpendicular tangents at the point of tangency






35. 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






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






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






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






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






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






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






42. 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)






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






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






45. The inverse of an eponential function






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






47. 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))






48. Input of function






49. 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.






50. 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