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






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






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






5. Intervals on which the second derivative is negative






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






7. 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






8. 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)






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






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






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






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






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






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






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






16. Functions of angles






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






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






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






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






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






22. 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))






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






24. The value of the function at a critical point






25. 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






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






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






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






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






30. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






34. sinA/a=sinB/b=sinC/c






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






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






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






38. Having the limits or boundaries established






39. 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)






40. 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






41. N(1-r)^x






42. The inverse of an eponential function






43. 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






44. The smallest y-value of the function






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






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






47. 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






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






49. 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






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