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






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






3. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






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






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






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






7. 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






8. 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






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






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






11. A²=(b²+c²)-2(ab)Cos(A)






12. 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






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






14. 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






15. dy/dx






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






17. Dividing an interval into n sub-intervals






18. 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))






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






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






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






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






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






24. Intervals in which the second derivative is positive






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






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






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






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






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 left most point of the sub-interval






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






32. The function that is integrated in an integral






33. 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






34. 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)






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






36. The inverse of an eponential function






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






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






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






40. 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)






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






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






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






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






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






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






47. 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






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






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






50. 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)