Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Calculate the surface integral \(\iint_S f(x, y, z) \, dS\) for the part of the surface where \(x = z^3\), and the region is defined by \(0 \leq x, y \leq 8^{-\frac{3}{2}}\). Given: \[ f(x, y, z) = x \] You need to evaluate: \[ \iint_S f(x, y, z) \, dS = \boxed{} \]
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Transcribed Image Text:Calculate the surface integral \(\iint_S f(x, y, z) \, dS\) for the part of the surface where \(x = z^3\), and the region is defined by \(0 \leq x, y \leq 8^{-\frac{3}{2}}\). Given: \[ f(x, y, z) = x \] You need to evaluate: \[ \iint_S f(x, y, z) \, dS = \boxed{} \]
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