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Math Help - Find value of b when it divides the region in half

  1. #1
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    Find value of b when it divides the region in half

    Find the value of b if the vertical line x=b divides the region between y=16-2x, x-axis and y-axis into equal areas.

    i got the area between 0 and 8 to be 64 but from there i am lost.
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  2. #2
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    Quote Originally Posted by golovin View Post
    Find the value of b if the vertical line x=b divides the region between y=16-2x, x-axis and y-axis into equal areas.

    i got the area between 0 and 8 to be 64 but from there i am lost.
    Define g(y)= \int_0 ^y (16-2x)dx and put A=g(8) be the total area. Now just solve g(y)=\frac{1}{2}A which should be a quadratic in y.
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  3. #3
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    Thanks. i forgot about the quadratic
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