Use the divergence theorem to evaluate the surface integralF. dS,Swhere the vector field is F = (3x + 1) i + y (2z² + 1) j + (x³ + 2zy²) kand S is the cylindrical surface (without disks) specified byS = {(x, y, z) | y² + z² = 2, 0 < x < 1},%3|oriented outwards.

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Answered: Use the divergence theorem to evaluate…

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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Use the divergence theorem to evaluate the surface integral F · dS, S where the vector field is F = (3x + 1) i + y (2z² + 1) j+ (x³ + 2zy²) k and S is the cylindrical surface (without disks) specified by S = {(x, y, z) | y² + 2² = 2, 0 < x < 1} , oriented outwards.