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Applications of Partial Derivatives

  1. Oct 23, 2007 #1
    1. The problem statement, all variables and given/known data

    The lengths a,b,c of a rectangle are changing with time. At the instant in question, a=1m, b=2m, c=3m and da/dt = db/dt = 1m/sec, and dc/dt = -3m/sec. At what rate is the box's volume changing at this instant?

    2. Relevant equations

    Chain rule for partial derivatives.

    3. The attempt at a solution


    Substituting the values gives 3m^3/s. Am I right?
    Thanks for helping me out. The answer is not given in the book.
  2. jcsd
  3. Oct 23, 2007 #2


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    The equation is correct.
  4. Oct 23, 2007 #3

    Hey! Thanks a ton for the re-assurances! Makes me feel more confident about myself.
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