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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 mathematical process of obtaining the derivative of a function






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






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






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






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






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






7. The process of evaluating an indefinite integral






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






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






10. dy/dx






11. d = v[( x2 - x1)² + (y2 - y1)²]






12. Intervals in which the second derivative is positive






13. 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






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






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






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






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






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






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






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






21. A function that is continuous at every point on the interval






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






23. 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)






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






25. 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.






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






27. The inverse of an eponential function






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






29. 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)






30. 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






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






32. 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)






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






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






35. 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)






36. 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






37. 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






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






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






40. The reciprocal of the sine function






41. 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))






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






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






44. The smallest y-value of the function






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






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






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






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






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






50. 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