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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 whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






2. 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)






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






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






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






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






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






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






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






10. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






11. 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)






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






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






14. The inverse of an eponential function






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






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






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






18. Having the limits or boundaries established






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






20. 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






21. Functions of angles






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






23. The function that is integrated in an integral






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 rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






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






28. 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)






29. d = v[( x2 - x1)² + (y2 - y1)²]






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






31. 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






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






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






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






35. A variable occurring in a function - but on which the value of the function does not depend






36. Intervals on which the second derivative is negative






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






38. The process of evaluating an indefinite integral






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






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






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






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






43. 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






44. 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






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






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






47. The smallest y-value of the function






48. 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






49. The reciprocal of the sine function






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







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