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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 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






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






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






4. 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)






5. N(1-r)^x






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






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






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






9. The inverse of an eponential function






10. Functions of angles






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






12. d = v[( x2 - x1)² + (y2 - y1)²]






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






14. 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






15. 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)






16. 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






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






18. 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))






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






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






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






22. 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






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






24. Dividing an interval into n sub-intervals






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






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






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






28. 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)






29. 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






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






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






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






33. 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






34. 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






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






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






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






38. A²=(b²+c²)-2(ab)Cos(A)






39. The reciprocal of the sine function






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






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






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






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






44. 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)






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






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






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






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






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






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