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Math Help - Related rates

  1. #1
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    Related rates



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    Any pointers? I can't see how to relate h to \ell.
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  2. #2
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    Notice that it is asking you to "minimize" therefore this is an optimization problem, not related rates.
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  3. #3
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    Oops!

    Yes, indeed. But c should eventually be a single variable function, so I need to find a way to eliminate one of the variables.
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  4. #4
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    Any tips on this? I'm kinda stuck.
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  5. #5
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    I too find this problem hard but I can assist you with what I know:

    Notice that they ask you to minimize, thus you have to find c'(h), then set c'(h)=0 and when you have found that h, use c''(h) to see which solutions are minimum or maximum.
    I don't think you have to relate h to l since l was given as a constant, and they also tell you that your answer for h will be in terms of l.

    Again, I'm not completly sure but I hope I helped.
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  6. #6
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    Oh. I was under the impression that \ell was variable?

    Also, don't we need to somehow use that information about the density, rho?

    I do know about finding critical points of a function, but I'm certain that I first must eliminate one of the variables, since this is a single-variable calculus subject, and there are no partials here.
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