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Need help with review question on test tomorow

  1. Jun 10, 2004 #1
    need help please. tonight if possible. I need to find the largest area of a rectangle with base on the x-axis and upper corners touch the parabola with the equation y=12-x^2
    :smile: thanks :smile:
     
  2. jcsd
  3. Jun 10, 2004 #2

    AKG

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    Well, you know the rectangle will be symmetrical about the y-axis. That means, if it touches the parabola at x = -a, it will touch at x = a as well. The rectangle will have an area of [itex]A = bh = (2x)(12 - x^2)[/itex]. Hopefully you see why this is. Now, it's simply a matter of finding the x value which gives a maximum for A, and I'm sure you know how to do this.
     
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