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






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






3. 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






4. Functions of angles






5. The smallest y-value of the function






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






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






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






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






10. The inverse of an eponential function






11. dy/dx






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






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






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






15. 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






16. Intervals in which the second derivative is positive






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






18. An undetermined constant added to every result of integration (the added +c)






19. The value of the function at a critical point






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






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






22. 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






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






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






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






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






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






28. 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.






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






30. 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)






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






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






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






34. 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)






35. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






36. (geometry)A curve generated by the intersection of a plane or circular cone






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






38. The process of evaluating an indefinite integral






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






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






41. Dividing an interval into n sub-intervals






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






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






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






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






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






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






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






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






50. Intervals on which the second derivative is negative