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Math Help - Minimisation problem.

  1. #1
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    Minimisation problem.

    Solve this problem:

    Divide the number ten in to two positive parts so that the sum of the first number in the power of three and the second number in the power of two is as small as possible.

    Tip:

    You are dividing ten like so, X + y = 10
    Last edited by mr fantastic; May 10th 2010 at 11:12 PM.
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  2. #2
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    Quote Originally Posted by Kane535 View Post
    Solve this problem:

    Divide the number ten in to two positive parts so that the sum of the first number in the power of three and the second number in the power of two is as small as possible.

    Tip:

    You are dividing ten like so, X + y = 10
    x + y = 10 ... (1)

    S = x^3 + y^2 .... (2)

    Substitute (1) into (2) and use calculus in the usual way to minimise S. If you need more help, please show your work and say where you're stuck.
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