?For the following exercises, let S be the hemisphere \(x^{2}+y^{2}+z^{2}=4\), with z ?
Chapter 6, Problem 283(choose chapter or problem)
For the following exercises, let S be the hemisphere \(x^{2}+y^{2}+z^{2}=4\), with z ≥ 0, and evaluate each surface integral, in the counterclockwise direction.
\(\iint_{S}\left(x^{2}+y^{2}\right) z d S\)
Text Transcription:
x^{2}+y^{2}+z^{2}=4
\iint_{S}\left(x^{2}+y^{2}\right) z d S
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