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






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






3. 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






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






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






6. 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.






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






8. 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






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






10. Having the limits or boundaries established






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






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






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






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






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






16. Intervals in which the second derivative is positive






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






18. Intervals on which the second derivative is negative






19. 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))






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






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






22. 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)






23. Dividing an interval into n sub-intervals






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






25. The function that is integrated in an integral






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






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






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






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






30. 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






31. 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






32. 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






33. Functions of angles






34. 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)






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






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






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






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






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






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






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






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






43. 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)






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






45. The process of evaluating an indefinite integral






46. 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






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






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






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






50. N(1-r)^x






Can you answer 50 questions in 15 minutes?



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