Calculate the superficial area

Given Φ(u, v) = (u + v, u, v), 0 ≤ u ≤ 1, 0 ≤ v ≤ 1.

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


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

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

  • Mathe Mathe
    0

    The bounty seems too low

  • I increased it now

  • Mathe Mathe
    0

    One question, what do you mean by Φ xyzdS ?

  • Mathe Mathe
    0

    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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Mathe Mathe
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