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.
Alexa Rod
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Mathe
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The answer is accepted.
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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