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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. dy/dx






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






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






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






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






6. Functions of angles






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






8. 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






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






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






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






12. 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






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






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






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






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






17. ex) dx - dy etc






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






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






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






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






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






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






24. 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)






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






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






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






28. 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






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






30. A²=(b²+c²)-2(ab)Cos(A)






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






32. The reciprocal of the sine function






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






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






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






36. 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)






37. Having the limits or boundaries established






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






39. 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






40. 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






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






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






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






45. Intervals on which the second derivative is negative






46. 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))






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






48. 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






49. Input of function






50. 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