- #1
mit_hacker
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Homework Statement
Compute the surface integral:
g = xyz on x^2+y^2+z^2 = 1 above z^2=x^2+y^2.
Homework Equations
The Attempt at a Solution
I'm only doubtful about the parameterization. Under normal circumstances, since x^2+y^2+z^2 = 1 is a sphere, we can write:
r = (SinCos[v])i + (SinSin[v])j + (Cos)k.
However, how do you account for the "above z^2=x^2+y^2."
Do I simply sum the square of the x and y components and write:
r = (SinCos[v])i + (SinSin[v])j + (Sin^2)k.
Is this correct?