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AP Calculus Slides March 13, 2007

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Average value of a function and the Mean Value Theorum for integrals.

Average value of a function and the Mean Value Theorum for integrals.

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AP Calculus Slides March 13, 2007 AP Calculus Slides March 13, 2007 Presentation Transcript

  • Average Value of a Function Definition: Let f be a function which is continuous on the closed interval [a, b]. The average value of f from x = a to x = b is the integral: An animated discussion ... Average Value of a Function @ Visual Calculus http://archives.math.utk.edu/visual.calculus/5/average.1/index.html
  • Mean Value Theorem for Integrals: Let y = f(x) be a function which is continuous on the closed interval [a, b]. Then there exists c in the closed interval [a, b] such that Another animated discussion from our favourite calculus site on the net ... Average Value of a Function @ Visual Calculus
  • Now let's practice what we've learned ...
  • Now let's practice what we've learned ...