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Average value of x-coord and y-coord in a semicircle. multivariable calculus.

  1. Jan 26, 2013 #1
    Calculate the average height above the x-axis of a point in the region 0 <= x <= 1 , 0 <= y <= x^2. I don't know what function to use to find the average height.
     
  2. jcsd
  3. Jan 26, 2013 #2

    Dick

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    I expect height means y. So you want to integrate y over the region then divide by the area of the region. Set it up as a double integral of y.
     
  4. Jan 26, 2013 #3
    Why would the height be y though? That's what i don't understand
     
  5. Jan 26, 2013 #4

    Dick

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    y is the distance of a point (x,y) to the x-axis. They are just calling that 'height'.
     
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