Calculate the superficial area

Given ?(u, v) = (u + v, u, v), 0 ? u ? 1, 0 ? v ? 1.

a) find the superficial area of ?
b) evaluate the integral ? ? xyzdS.


given S the part of the cone parameretized by
                  x = r cos(?), y = r sin(?), z = r, 3 ? r ? 5, 0 ? ? ? 2?

a)calculate the superficial area of ?
b) evaluate the integral ? ? xyzdS.

  • The bounty seems too low

  • I increased it now

  • One question, what do you mean by Φ xyzdS ?

  • Do you mean the integral of the function xyz over the surface? That's only thing that I can think of.

  • yes

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