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AP Calculus Ab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






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






3. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






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






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






9. Input of function






10. 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)






11. 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






12. Having the limits or boundaries established






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






14. 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






15. 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.






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






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






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






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






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






22. The process of evaluating an indefinite integral






23. 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






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






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






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






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






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






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






30. 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






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






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






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






34. 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






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






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






37. 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






38. 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






39. The inverse of an eponential function






40. N(1-r)^x






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






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






43. The reciprocal of the sine function






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






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






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






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






48. A measure of how a function changes as its input changes.






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






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