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






2. N(1-r)^x






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






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






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






6. 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






7. Functions of angles






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






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






10. dy/dx






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






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






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






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






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






16. 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






17. The process of evaluating an indefinite integral






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






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






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






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






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. The local and global maximums and minimums of a function






24. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






25. The value of the function at a critical point






26. 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))






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






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






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






30. 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






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






32. Input of function






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






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






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






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






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






38. A²=(b²+c²)-2(ab)Cos(A)






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






40. 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






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






42. Having the limits or boundaries established






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






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






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






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






47. 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






48. 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






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






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