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Math Help - optimization

  1. #1
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    optimization

    Help please !

    Find the dimensions and the area of the largest rectangle having its lower two corners on the x-axis and its two upper corners on the parabola .

    I'm not sure how to approach this question, I can't even find the equation of constraint.
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  2. #2
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    Quote Originally Posted by shawli View Post
    Help please !

    Find the dimensions and the area of the largest rectangle having its lower two corners on the x-axis and its two upper corners on the parabola .

    I'm not sure how to approach this question, I can't even find the equation of constraint.
    did you sketch a picture?

    A = bh

    A = 2xy

    A = 2x(16-x^2)

    0 < x < 4

    find \frac{dA}{dx} and maximize.
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