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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. The function that is integrated in an integral






2. 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






3. Intervals on which the second derivative is negative






4. 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






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






6. The value of the function at a critical point






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






8. 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






9. 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






10. 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






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






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






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






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






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






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






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






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






19. 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






20. The reciprocal of the sine function






21. 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






22. 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)






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






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






25. Input of function






26. 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)






27. Intervals in which the second derivative is positive






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






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






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






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






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






33. A²=(b²+c²)-2(ab)Cos(A)






34. 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






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






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






37. dy/dx






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






39. 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)






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






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






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






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






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






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






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






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






48. N(1-r)^x






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






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







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