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






2. 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






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






4. 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






5. The function that is integrated in an integral






6. 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






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






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






9. 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






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






11. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






12. Input of function






13. 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






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






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






16. The process of evaluating an indefinite integral






17. dy/dx






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






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






20. 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)






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






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






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






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






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






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






27. 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)






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






29. Having the limits or boundaries established






30. The reciprocal of the sine function






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






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






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






34. 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)






35. 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))






36. 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






37. A²=(b²+c²)-2(ab)Cos(A)






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






39. The smallest y-value of the function






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






41. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






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






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






49. The value of the function at a critical point






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