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






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






3. 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






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






5. dy/dx






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






7. 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






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






9. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.


10. The reciprocal of the sine function






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






12. 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






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






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






15. 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






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






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






18. A function that is a fixed numerical value for all elements of the domain of the function






19. 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)






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






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






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






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






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






25. 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






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






27. The inverse of an eponential function






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






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






30. ex) dx - dy etc






31. The smallest y-value of the function






32. 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






33. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






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






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






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






37. 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






38. Input of function






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






40. 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






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






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






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






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






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






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






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






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






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






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