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






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






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






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






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






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






7. 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






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






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






10. 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






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






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






13. 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






14. A point where a function changes concavity; also - where the second derivative changes signs






15. The value of the function at a critical point






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






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






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






19. The smallest y-value of the function






20. N(1-r)^x






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






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






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






24. d = v[( x2 - x1)² + (y2 - y1)²]






25. 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






26. Intervals in which the second derivative is positive






27. Functions of angles






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






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






30. The reciprocal of the sine function






31. The inverse of an eponential function






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






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






35. 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






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






37. Dividing an interval into n sub-intervals






38. The function that is integrated in an integral






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






40. 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






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






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






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






45. Input of function






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






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






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






49. 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






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