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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. The inverse of an eponential function






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






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






4. 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






5. 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






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






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






8. 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)






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






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






12. 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






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






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






15. Dividing an interval into n sub-intervals






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






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






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






19. The process of evaluating an indefinite integral






20. 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)






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






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






23. 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))






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






25. 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.






26. The smallest y-value of the function






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






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






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






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






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






32. dy/dx






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






34. The reciprocal of the sine function






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






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






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






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






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






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






41. Intervals in which the second derivative is positive






42. Functions of angles






43. 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)






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






45. 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






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






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






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






49. 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






50. A²=(b²+c²)-2(ab)Cos(A)