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






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






3. 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)






4. The process of evaluating an indefinite integral






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






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






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






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






9. 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)






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






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






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






13. 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






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






15. Input of function






16. 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






17. 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)






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






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






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






21. 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






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






23. 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






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






25. 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






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






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






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






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






30. A²=(b²+c²)-2(ab)Cos(A)






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






32. 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






33. 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))






34. 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






35. Intervals on which the second derivative is negative






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






37. The inverse of an eponential function






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






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






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






41. 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.


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






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






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






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






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






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






48. The function that is integrated in an integral






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






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