?In Exercises 7 - 16, use the Divergence Theorem to evaluate \(\int_{S} \int \mathbf{F} \cdot \mathbf{N} d S\) and find the outward
Chapter 15, Problem 7(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.
\(\mathbf{F}(x, y, z)=x^{2} \mathbf{i}+y^{2} \mathbf{j}+z^{2} \mathbf{k}\)
S: x = 0, x = a, y = 0, y = a, z = 0, z = a
Text Transcription:
int_S int F cdot N dS
F(x, y, z) = x^{2}i + y^{2}j + z^{2}k
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