Volume For the vector field verify the following integral, where is the volume of the
Chapter 15, Problem 25(choose chapter or problem)
For the vector field \(\mathbf{F}(x, y, z)=x \mathbf{i}+y \mathbf{j}+z \mathbf{k}\), verify the following integral, where V is the volume of the solid bounded by the closed surface S.
\(\int_{S} \int \mathbf{F} \cdot \mathbf{N} d S=3 V\)
Text Transcription:
F(x, y, z) = xi + yj + zk
int_S int F cdot N dS = 3V
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