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Math Help - Need help with optimization problem

  1. #1
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    Need help with optimization problem

    Hello everyone

    If anyone would want to tell me how to do this that would be great.

    4.) A rectangle is inscribed above the x-axis inside the parabola y = a^2 - x^2. find the area of the largest possible rectangle.


    the constant 'a' gives me problems here. The pic at the bottom is a diagram of #4.
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  2. #2
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    Just in case a picture helps...



    (A = area)

    Spoiler:

    _________________________________________
    Don't integrate - balloontegrate!

    Balloon Calculus; standard integrals, derivatives and methods

    Balloon Calculus Drawing with LaTeX and Asymptote!
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  3. #3
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    yes yes i have gotten that far but i dont know how to differentiate with 'a' in there. could i maybe take it out then differentiate? then account for it later somehow? idk...
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  4. #4
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    Quote Originally Posted by jsel21 View Post
    yes yes i have gotten that far but i dont know how to differentiate with 'a' in there. could i maybe take it out then differentiate? then account for it later somehow? idk...
    Yes, I thought that was the problem - see the spoiler pic, which I got a bit tied up with, sorry. The point is you just treat a as a constant (a number), because it is, for the problem in hand.
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  5. #5
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    thanks so much.. i should have known that!
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