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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 process of evaluating an indefinite integral






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






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






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






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






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






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






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






9. 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)






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






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 right-most point of the sub-interval






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






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






14. The inverse of an eponential function






15. Intervals in which the second derivative is positive






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






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






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






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






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






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






22. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.

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23. N(1-r)^x






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






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






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






28. 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






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






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






31. 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






32. Functions of angles






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






34. Having the limits or boundaries established






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






36. The value of the function at a critical point






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






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






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






40. The smallest y-value of the function






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






42. 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






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






44. 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)






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






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






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






48. A²=(b²+c²)-2(ab)Cos(A)






49. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1






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