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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. 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






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






3. A point that represents the maximum value a function assumes over its domain






4. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph






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






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. The value of the function at a critical point






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






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






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






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






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






13. Input of function






14. 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))






15. 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






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






17. 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)






18. The process of evaluating an indefinite integral






19. 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)






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






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






22. 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






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






24. 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






25. The function that is integrated in an integral






26. 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






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






28. The smallest y-value of the function






29. 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






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






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






32. 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.






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






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






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






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






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






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






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






40. Intervals in which the second derivative is positive






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






42. Dividing an interval into n sub-intervals






43. 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






44. Having the limits or boundaries established






45. ex) dx - dy etc






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






47. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






50. Functions of angles