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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 mathematical process of obtaining the derivative of a function






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






3. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






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






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






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






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






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






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






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






11. A²=(b²+c²)-2(ab)Cos(A)






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






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






14. Graph is symmetrical with respect to the origin; f(-x)=-f(x)






15. 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






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






17. 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






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






19. Intervals in which the second derivative is positive






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






21. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






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 inverse of an eponential function






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






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






26. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






27. N(1-r)^x






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






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






30. 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






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






32. The smallest y-value of the function






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






34. dy/dx






35. 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






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






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






38. 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






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






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






41. The reciprocal of the sine function






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






43. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






45. Functions of angles






46. The function that is integrated in an integral






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






48. d = v[( x2 - x1)² + (y2 - y1)²]






49. 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






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