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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. 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






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






5. 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)






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






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






8. dy/dx






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






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






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






12. Dividing an interval into n sub-intervals






13. 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)






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






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






16. 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






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






18. 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






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






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






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






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






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






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






25. 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






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






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






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






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






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






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






32. The value of the function at a critical point






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






34. 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))






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






36. 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)






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






38. A²=(b²+c²)-2(ab)Cos(A)






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






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






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






42. The process of evaluating an indefinite integral






43. 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.


44. The reciprocal of the sine function






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






46. 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






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






48. Functions of angles






49. 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






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