?Evaluate \(\iint_{S}\left(x^{2}+y^{2}+z^{2}\right) d \mathbf{S}\), where S is the

Chapter 6, Problem 296

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Evaluate \(\iint_{S}\left(x^{2}+y^{2}+z^{2}\right) d \mathbf{S}\), where S is the portion of plane z = x + 1 that lies inside cylinder \(x^{2}+y^{2}=1\).

Text Transcription:

iint_S (x^2 + y^2 + z^2)dS

x^2 + y^2 = 1

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