?In Exercises 1 - 6, verify the Divergence Theorem by evaluating \(\int_{S} \int \mathrm{F} \cdot \mathrm{N} d S\) as a surface inte
Chapter 15, Problem 4(choose chapter or problem)
In Exercises 1 - 6, verify the Divergence Theorem by evaluating
\(\int_{S} \int \mathrm{F} \cdot \mathrm{N} d S\)
as a surface integral and as a triple integral.
\(\mathbf{F}(x, y, z)=x y \mathbf{i}+z \mathbf{j}+(x+y) \mathbf{k}\)
S: surface bounded by the planes y = 4 and z = 4 - x and the coordinate planes
Text Transcription:
int_S int F cdot N dS
F(x, y, z) = xyi + zj + (x + y)k
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