Use Gauss's Theorem to find the surface integral OF •dS across the positively-oriented S sphere of radius 3, S: x2 + y? + z? = 9 where F(r, y, z) = (xy², yz², x²z).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Gauss's Theorem to find the surface integral DF•
dS across the positively-oriented
sphere of radius 3, S: x? + y² + z²
= 9 where F(x, Y, z) = (xy?, yz², x²z).
Transcribed Image Text:Use Gauss's Theorem to find the surface integral DF• dS across the positively-oriented sphere of radius 3, S: x? + y² + z² = 9 where F(x, Y, z) = (xy?, yz², x²z).
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