Solved: Evaluating a Flux Integral In Exercises 2328, find the flux of F through S
Chapter 15, Problem 28(choose chapter or problem)
In Exercises 23 - 28, find the flux of F through S,
\(\int_{S} \int F \cdot N d S\)
where N is the upward unit normal vector to S.
\(\mathbf{F}(x, y, z)=x \mathbf{i}+y \mathbf{j}-2 z \mathbf{k}$\)
\(S: z=\sqrt{a^{2}-x^{2}-y^{2}}\)
Text Transcription:
int_S int F cdot N dS
F(x, y, z) = xi + yj - 2zk
S: z = sqrt{a^2 - x^2 - y^2}
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