Test your basic knowledge |

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






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






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






4. d = v[( x2 - x1)² + (y2 - y1)²]






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






6. Intervals in which the second derivative is positive






7. Two curves that have perpendicular tangents at the point of tangency






8. 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






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






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






11. N(1-r)^x






12. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


13. The process of evaluating an indefinite integral






14. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






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






16. 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))






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






18. 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)






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






20. Dividing an interval into n sub-intervals






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






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






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






24. ex) dx - dy etc






25. 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






26. The function that is integrated in an integral






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






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






29. 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






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






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






32. Functions of angles






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






34. A²=(b²+c²)-2(ab)Cos(A)






35. 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.






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






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






39. 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)






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






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






42. 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






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






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






45. 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)






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






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






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






49. A variable occurring in a function - but on which the value of the function does not depend






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