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






2. Intervals on which the second derivative is negative






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






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






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






6. A²=(b²+c²)-2(ab)Cos(A)






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






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






9. 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






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






11. 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






12. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






13. Input of function






14. 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)






15. The inverse of an eponential function






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






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






18. Having the limits or boundaries established






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






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






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






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






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






24. 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






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






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






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






29. d = v[( x2 - x1)² + (y2 - y1)²]






30. 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)






31. 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






32. 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






33. The smallest y-value of the function






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






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






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






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






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






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






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






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






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






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






44. 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






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






46. Functions of angles






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






48. 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






49. 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






50. ex) dx - dy etc