- #1
KnowledgeisPo
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Homework Statement
ζζs yz ds
S is the part of the plane x+y+z=1 that lies in the first Octant
Homework Equations
ζζs f(x,y,z) dS = ζζd f(x,y,g(x,y)) sqrt(1+(df/dx)²+(df/dy)²) dA
The Attempt at a Solution
turned dS into dA, and attempted many different regions. Always got an area that was 4-6 times too big.
Using double integrals, I'm limited in my abilities to evaluate all three variables.
edit: the sqrt comes to root(3). The relevant equations is one given in examples, but the actual examples don't ever seem to deal with a g(x,y) for z substitution. One example uses it, but instead of having a yz to integrate, it just has a y.
I integrate over the region 0<x<1 and 0<y<1, as proportionately instructed in examples, but that leaves the z variable unintegrated. I tried numerous equation substitutions also, and as I said they come out 4-6 times too big as for as close as I can get.