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Math Help - Area between 2 curves

  1. #1
    Senior Member topher0805's Avatar
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    Area between 2 curves

    Find the area between the two curves:

    <br />
x = y^2 - 6y

    x = 5y - y^2

    I have no idea where to start...
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  2. #2
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    Quote Originally Posted by topher0805 View Post
    Find the area between the two curves:

    <br />
x = y^2 - 6y

    x = 5y - y^2

    I have no idea where to start...
    Draw a picture. Both of them are parabola's on their sides. Complete the suqare in y to put them in standard form.
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    Senior Member topher0805's Avatar
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    Quote Originally Posted by danny arrigo View Post
    Draw a picture. Both of them are parabola's on their sides. Complete the suqare in y to put them in standard form.
    I was given a picture (it's a WebAssign question).

    How do I complete the square in this case?
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  4. #4
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    Quote Originally Posted by topher0805 View Post
    Find the area between the two curves:

    <br />
x = y^2 - 6y

    x = 5y - y^2

    I have no idea where to start...
    x = y^2 - 6 y + \left(\frac{-6}{2} \right)^2 - \left(\frac{-6}{2} \right)^2

    x = (y-3)^2 - 9

    standard form

    x + 9 = (y-3)^2

    The vertex is located at (-9,3)
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