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






2. 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))






3. 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






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






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






6. N(1-r)^x






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






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






9. 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






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






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






12. Functions of angles






13. 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






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






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






16. Intervals on which the second derivative is negative






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






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






19. 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






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






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






22. 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






23. A²=(b²+c²)-2(ab)Cos(A)






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






25. The function that is integrated in an integral






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






27. 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)






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






29. 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.






30. d = v[( x2 - x1)² + (y2 - y1)²]






31. 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






32. Having the limits or boundaries established






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






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






35. 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)






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






37. Dividing an interval into n sub-intervals






38. 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






39. 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)






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






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






42. The process of evaluating an indefinite integral






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






44. Intervals in which the second derivative is positive






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






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






47. The reciprocal of the sine function






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






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






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