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






2. The inverse of an eponential function






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






4. 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






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






6. d = v[( x2 - x1)² + (y2 - y1)²]






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






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






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






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






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






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






13. A²=(b²+c²)-2(ab)Cos(A)






14. 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






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






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






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






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






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






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






21. The smallest y-value of the function






22. 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)






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






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






25. 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))






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






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






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






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






30. Intervals in which the second derivative is positive






31. Having the limits or boundaries established






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






33. The reciprocal of the sine function






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






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






36. Intervals on which the second derivative is negative






37. 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






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






39. 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)






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






41. Dividing an interval into n sub-intervals






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






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






44. 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)






45. 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






46. Input of function






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






48. 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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49. Ratio between the length of an arc and its radius






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