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






2. The inverse of an eponential function






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






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






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






6. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






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






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






9. 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






10. Intervals in which the second derivative is positive






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






12. 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.






13. 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






14. Intervals on which the second derivative is negative






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






16. 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






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






18. 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






19. The function that is integrated in an integral






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






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






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






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






24. 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






25. 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






26. Functions of angles






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






28. ex) dx - dy etc






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






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






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






32. dy/dx






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






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






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






36. 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)






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






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






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






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






41. 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






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






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






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






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






46. 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






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






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






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






50. N(1-r)^x