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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 straight line that is the limiting value of a curve






2. The reciprocal of the sine function






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






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






5. The value of the function at a critical point






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






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






8. The function that is integrated in an integral






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






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






11. 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)






12. Functions of angles






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






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






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






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






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






18. 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






19. Intervals in which the second derivative is positive






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






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






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






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






24. Input of function






25. A²=(b²+c²)-2(ab)Cos(A)






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






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






28. 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






29. 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)






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






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






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






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






35. The inverse of an eponential function






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






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






38. 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






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






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






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






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






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






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






45. d = v[( x2 - x1)² + (y2 - y1)²]






46. 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)






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






48. Having the limits or boundaries established






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






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