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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 rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






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






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






4. 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)






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






6. 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))






7. 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






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






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






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






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






12. The value of the function at a critical point






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






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






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






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






17. N(1-r)^x






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






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






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






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






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






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






24. 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






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






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






27. 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.

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28. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






33. The inverse of an eponential function






34. 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






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






36. ex) dx - dy etc






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






38. 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)






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






40. 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






41. 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






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






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






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






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






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






48. The reciprocal of the sine function






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






50. 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