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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. 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






2. N(1-r)^x






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






4. The reciprocal of the sine function






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






6. Intervals in which the second derivative is positive






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






8. Intervals on which the second derivative is negative






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






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






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






12. A function that can be graphed w/ a line or smooth curve






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






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






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






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






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






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






19. The process of evaluating an indefinite integral






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






21. The smallest y-value of the function






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






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






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






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






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






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






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






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






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






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






32. 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)






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






34. 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






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






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






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






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






39. 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






40. 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)






41. 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






42. 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






43. The inverse of an eponential function






44. 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)






45. d = v[( x2 - x1)² + (y2 - y1)²]






46. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






47. Input of function






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






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. 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