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Math Help - Maximum & Minimum Problem

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    Maximum & Minimum Problem

    What is the maximum possible area of a rectangle with base that lies on the x-axis and with two upper vertices that lie on the graph of the equation y = 4 - x^2?

    I have no idea how to do this, can someone please show the full solutions to help me through the process? Thank you!!!
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    Quote Originally Posted by bhuang View Post
    What is the maximum possible area of a rectangle with base that lies on the x-axis and with two upper vertices that lie on the graph of the equation y = 4 - x^2?

    I have no idea how to do this, can someone please show the full solutions to help me through the process? Thank you!!!
    Start by drawing a picture (did you do that?). Let the coordinates of the vertices have x-coordinates at x = a and x = -a. Get an expression for the area in terms of a. Then use calculus in the usual way to maximise this area.
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