Consider the field of vectors F(x, y, z) = (x − y, x + y, z). Calculate the flow of F through surface S, oriented with normal n exterior to S, where S : x2 + y2 = a2, com a > 0 e 0 ≤ z ≤ h; S : x2 + y2 + z2 = a2, com a > 0.

Consider the field of vectors F(x, y, z) = (x − y, x + y, z). Calculate the flow of F through surface S, oriented with normal n exterior to S, where S : x2 + y2 = a2, com a > 0 e 0 ≤ z ≤ h; S : x2 + y2 + z2 = a2, com a > 0.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the field of vectors F(x, y, z) = (x − y, x + y, z). Calculate the flow of F
through surface S, oriented with normal n exterior to S, where

S : x² + y² = a², com a > 0 e 0 ≤ z ≤ h;

S : x2 + y2 + z2 = a2, com a > 0.

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