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    Express the area of rectangle as Quadratic Function

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    Express the area of the rectangle (i tried to make one below) as a quadratic function of x, and also, for what value of x will the area be a maximum?

    This is supposed to be a rectangle:
    |||||||||||||||||||||||||||||||||||| 11-x

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    Solution Preview

    (a) From the diagram, we see that width = x and height = 11 - x

    Area of this rectangle is A = width * height

    A = x * (11 - x)

    A = 11x - x^2

    The quadratic function for ...

    Solution Summary

    This solution shows how to express the given rectangle as a quadratic function of a given variable.