Answer: Using the Divergence Theorem In Exercises 716, use the Divergence Theorem to
Chapter 15, Problem 15(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.
\(\mathbf{F}(x, y, z)=x e^{z} \mathbf{i}+y e^{z} \mathbf{j}+e^{z} \mathbf{k}\)
S: z = 4 - y, z = 0, x = 0, x = 6, y = 0
Text Transcription:
int_S int F cdot N dS
F(x, y, z) = xe^{z}i + ye^{z}j + e^{z}k
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