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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. 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)






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






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






4. N(1-r)^x






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






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






7. 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






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






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






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






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






12. The reciprocal of the sine function






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






14. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






15. 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)






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






17. 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)






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






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






20. 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






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






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






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






24. 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






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






26. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






29. A function that possesses a finite integral; the function must be continuous on the interval of integration






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






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






32. The process of evaluating an indefinite integral






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






34. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






35. 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






36. Having the limits or boundaries established






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






38. ex) dx - dy etc






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






40. The function that is integrated in an integral






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






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






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






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






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






46. dy/dx






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






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. Intervals on which the second derivative is negative






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