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Double/Triple/Iterated Integrals and Max/Min

  1. Feb 6, 2007 #1
    Hi people, I have a midterm for calculus coming up, so I was wondering if you guys could give me some interesting problems regarding double/triple/iterated integrals with change of variables, and max/min.
    Last edited: Feb 6, 2007
  2. jcsd
  3. Feb 6, 2007 #2
    1) Find the ratio H/R of height to radius to minimize the total surface area of a right-circular cylinder of fixed volume V.

    2) Find the integral [tex] I = \iint_R 21y dx dy [/tex] where R is the region above the x-axis and bounded by [tex] y^2 = 4 -4x[/tex] and [tex]y^2 = 4 +4x[/tex]. (I would use a jacobian.)
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