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Math Help - Differentials

  1. #1
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    Nov 2008
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    Differentials

    Two questions that are giving me trouble; could someone please show me how?

    Question One

    A mushroom was observed while growing, and all linear dimensions were growing proportionately. Therefore, the volume increased according to the formula V=cL^3 Where L is any linear dimension and c is a constant. Show that

    <br />
\frac{1} {V}\left[\frac{dv} {dt}\right] = 3 \frac{1}{L}\left[\frac{dL}{dt}\right]<br />

    Using differentials find the percentage error in g is l is measured accurately but T has an error of 1%

    Question Two

    The acceleration due to gravity g can be determined by measuring the period of swing of a pendulum. If the length of the pendulum is l and the measured period is T, then g is given by the formula

    g = \frac{4 (pi)^2l} {T^2}
    Last edited by Wildharmony; November 27th 2008 at 02:47 PM.
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