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Thread: Region bounded by a curve question?

  1. April 7th 2010, 04:37 PM #1
    ams87
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    Region bounded by a curve question?

    Can someone help me solve this question?

    Compute the area of the region bounded by the curve x=5+4y-y^2 and the y-axis.

    Not sure how to do this when the x and y's are switched like in the above equation. To be honest I'm not really sure how to even begin.
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  2. April 7th 2010, 04:57 PM #2
    dwsmith
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    \int_{-1}^{5}5+4y-{y}^{2}=5y+2{y}^{2}-\frac{{y}^{3}}{3}

    Now just solve
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  3. April 7th 2010, 05:59 PM #3
    ams87
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    Oh you just find the zeros and then calculate the integral...didnt realize it was that easy! Thanks!
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