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Math Help - Vertices of Rectangle with Max Area

  1. #1
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    Question Vertices of Rectangle with Max Area

    A rectangle has one side on the x-axis and two vertices on the curve y=1/(2+x^2). Find the vertices of the rectangle with maximum area.

    I put one of the corners at the origin, which I'm assuming is wrong, because I got (0,0),(2^(1/2),0),(2^(1/2),1/4),(0,1/4), which is incorrect.
    Help, please!
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  2. #2
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    Figured it out! The answer is: (√2, 0), (√2, 1/4)
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