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Thread: [RESOLVED] Problem with Differentiation

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  1. Aug 2nd, 2006, 05:38 AM #1
    MathBaby
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    Resolved [RESOLVED] Problem with Differentiation

    1. A ship is to make a voyage of 200km at a constant speed. When the speed of the ship is v km/h the cost is £(v² + 4000/v) per hour. Find the speed at which the ship should travel so that the cost of the voyage is a minimum.


    I was trying hard to figure out how to solve this question, sadly I dont even know where to start and how to start... Please help...

    2. An open cylindrical wastepaper bin, of radius r cm and capacity V cm³, is to have a surface area of 5000 cm². Show that V = 1/2r(5000-πr²)

    For this 2nd question, I have faint idea on how to do it, but I don't know how am I suppose to show my answer...
    Last edited by MathBaby; Aug 2nd, 2006 at 07:03 AM. Reason: Found another difficult question.
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