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Math Help - Applications of maxima/minima

  1. #1
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    Unhappy Applications of maxima/minima

    a.)Find the area of the largest rectangle having two vertices on the x-axis and two vertices on or above the x - axis and on the parabola y = 9 -x^2

    Help What does the two vertices mean in the problem...?
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  2. #2
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    Hello, ^_^Engineer_Adam^_^!

    Find the area of the largest rectangle having two vertices on the x-axis
    and two vertices on or above the x-axis and on the parabola: y = 9 -x
    Very confusing . . . then you have a diagram with numbers like "3,0000".

    What does the two vertices mean in the problem?
    You're kidding, right? .Vertices are "corners".
    Code:
                      |
                      *
                  *   |   *
               *- - - + - - -*
             * :      |      : *
            *  :      |      :y *
               :      |      :
           *---+------+------+---*
                  x   |   x
    The area of the rectangle is: .A .= .2xy

    . . And we know that: .y .= .9 - x

    Therefore, the area function is: .A .= .2x(9 - x) .= .18x - 2x

    Go for it!

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