7. Use the Divergence Theorem to evaluate ff(F n) dS, where S is the top half of the sphere r2 +y + z = 9 together with the part of z = 0 that is inside the sphere. Take F = rzi+ yzj + z?k.

Elements Of Modern Algebra
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Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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7.
Use the Divergence Theorem to evaluate ff(F n) dS, where S is the top
half of the sphere r +y + z2 = 9 together with the part of z = 0 that is inside the sphere.
Take F = rzi + yzj + z?k.
Transcribed Image Text:7. Use the Divergence Theorem to evaluate ff(F n) dS, where S is the top half of the sphere r +y + z2 = 9 together with the part of z = 0 that is inside the sphere. Take F = rzi + yzj + z?k.
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