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Dido525

  • 3 years ago

Find the centroid of the area:

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  1. Dido525
    • 3 years ago
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  2. Dido525
    • 3 years ago
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    |dw:1353879322184:dw|

  3. Dido525
    • 3 years ago
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    I got 5/9 as my answer which isn't right...

  4. CliffSedge
    • 3 years ago
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    Yeah, 5/9 is way too big. Do you only need x-bar and not y-bar?

  5. Dido525
    • 3 years ago
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    Only x bar.

  6. Dido525
    • 3 years ago
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    So apparently the correct answer is 0.278 but I dont see how...

  7. CliffSedge
    • 3 years ago
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    Is this what you started with? \[\huge x-bar=\frac{\int x^{5/4} dx}{\int x^{1/4} dx} \]

  8. Dido525
    • 3 years ago
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    Yep.

  9. Dido525
    • 3 years ago
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    The limits of integration are from 0 to 1 I believe.

  10. CliffSedge
    • 3 years ago
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    Hmm, seems to be something missing..

  11. Dido525
    • 3 years ago
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    Well the curve on the top is technically y=1.

  12. CliffSedge
    • 3 years ago
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    I think you need to switch x and y to find x-bar and y-bar. i.e. for x-bar it is integral of y dA, and for y-bar it is integral of x dA.

  13. CliffSedge
    • 3 years ago
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    See here for more info: http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx

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