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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. The function that is integrated in an integral






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






3. ex) dx - dy etc






4. Functions of angles






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






6. Curve whose points are at a fixed normal distance of a given curve






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






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






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. 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.






11. Dividing an interval into n sub-intervals






12. 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






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






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






15. 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






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






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






18. 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






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






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






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






22. 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))






23. dy/dx






24. The reciprocal of the sine function






25. A²=(b²+c²)-2(ab)Cos(A)






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






27. 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






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






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






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






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






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






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






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






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






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






37. The process of evaluating an indefinite integral






38. Any value in the domain where either the function is not differentiable or its derivative is 0.






39. d = v[( x2 - x1)² + (y2 - y1)²]






40. The inverse of an eponential function






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






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






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






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






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






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






47. N(1-r)^x






48. 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)






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






50. The distance a number is from 0 on a number line







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