Solved: Using the Divergence Theorem In Exercises 716, use the Divergence Theorem to
Chapter 15, Problem 11(choose chapter or problem)
In Exercises 7 - 16, use the Divergence Theorem to evaluate
\(\int_{S} \int \mathbf{F} \cdot \mathbf{N} d S\)
and find the outward flux of F through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results.
\(\mathbf{F}(x, y, z)=x \mathbf{i}+y \mathbf{j}+z \mathbf{k}\)
\(S: x^{2}+y^{2}+z^{2}=9\)
Text Transcription:
int_S int F cdot N dS
F(x, y, z) = xi + yj + zk
S: x^2 + y^2 + z^2 = 9
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