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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. 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






2. 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






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






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






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






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






7. dy/dx






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






9. 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))






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






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






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






13. 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)






14. ex) dx - dy etc






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






16. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






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






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






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






21. 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






22. A²=(b²+c²)-2(ab)Cos(A)






23. 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.






24. 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






25. The process of evaluating an indefinite integral






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






27. Intervals in which the second derivative is positive






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






29. 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)






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






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






32. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






33. Functions of angles






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






35. 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






36. N(1-r)^x






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






38. 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






39. Input of function






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






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






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






43. 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.


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






45. The function that is integrated in an integral






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






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






48. 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






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






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