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






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






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






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






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






6. 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






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






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






9. 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.






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






11. 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






12. 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






13. 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)






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






16. Intervals in which the second derivative is positive






17. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






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






19. Functions of angles






20. 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






21. 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)






22. A²=(b²+c²)-2(ab)Cos(A)






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






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






25. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






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






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






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






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






30. A straight line that is the limiting value of a curve






31. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






37. 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)






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






39. Dividing an interval into n sub-intervals






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






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






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






43. The reciprocal of the sine function






44. N(1-r)^x






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






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






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






48. If there is some number b that is less than or equal to every number in the range of f






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






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