- #1
Niles
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Homework Statement
Hi all. Please take a look at the following problem:
Evaluate the surface integral [tex]\int{F \cdotp d\vec{S}}[/tex] for the following vector field:
F(x;y;z) = xyi + yzj + zxk, where i, j and k are unit vectors. S is the part of the paraboloid z = 4-x^2-y^2 that lies above the square [tex]x \in [0;1][/tex] and [tex]y \in [0;1][/tex].
The Attempt at a Solution
Ok, I first find the divergence of F(x,y,z), which is y-x^2-y^2+4 (I have substituted z). Then I find dV, which is just dxdy and use the limits for x and y as stated above.
Is this method correct?
Thanks in advance