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Math Help - Maximum value.

  1. #1
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    Maximum value.

    Find the maximum value of given that .
    Last edited by mr fantastic; April 13th 2009 at 09:36 PM. Reason: Restored original question
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by usagi_killer View Post
    Find the maximum value of given that .
    Without knowing what functions f,\ g, \ h are we cannot say what the actual maximum is but you can establish an upper bound, because clearly:

    a=3f+4g+10h\le100

    when f,\ g,\ h satisfy the constraint |f+g+h|\le10

    CB
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  3. #3
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    Sorry!! wrong question lols,
    sorry for the inconvenience!!!

    The revised question is:

    Find the maximum value of a(x) = 3f(x) + 4g(x) + 10h(x) given that  f(x)^2 + g(x)^2 + h(x)^2 \leq 9.


    i've tried putting everything in terms of each other but its not working haha
    Last edited by mr fantastic; April 13th 2009 at 09:37 PM. Reason: Posted the revised question here and restored the original question, merged posts
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