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






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






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






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






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






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






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






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






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






10. Having the limits or boundaries established






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






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






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






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






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. 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)






17. 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






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






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






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






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






22. 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






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






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






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






26. 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






27. 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.






28. The value of the function at a critical point






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






30. Intervals on which the second derivative is negative






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






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






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






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






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






36. 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






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






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






39. 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)






40. 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))






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






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






43. The inverse of an eponential function






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






45. Input of function






46. 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)






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






48. d = v[( x2 - x1)² + (y2 - y1)²]






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






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