Verify the formula JJI cdiv F dV in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = xy i+yz j+ xz k where o is the surface of the cube bounded by the planes x = 0,x = 2, y = 0,y = 2, z = 0,z = 2. LF -a ds = i JJI Gdiv F dV = i

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Verify the formula
JI „F n ds = JJJ Gdiv F dV
in the Divergence Theorem by evaluating the surface integral and the triple integral.
F(x, y, 2) = xy i + yzj+xzk
where o is the surface of the cube bounded by the planesx = 0,x = 2, y = 0,y = 2, z = 0, z = 2.
I „F · n dS =
JJJ gdiv F dV = i
Transcribed Image Text:Verify the formula JI „F n ds = JJJ Gdiv F dV in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, 2) = xy i + yzj+xzk where o is the surface of the cube bounded by the planesx = 0,x = 2, y = 0,y = 2, z = 0, z = 2. I „F · n dS = JJJ gdiv F dV = i
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