Let F = (zy, y + x²z,3z2 – yz), let E be the cube [0, 1] × [0, 2] × [0,3] in R³, let S be the entire, closed surface of E, oriented outward. a. Find div(F). b. Use the Divergence Theorem to evaluate ff, F · dŠ, the net outward flux of F through S. Do not integrate!

Let F = (zy, y + x²z,3z2 – yz), let E be the cube [0, 1] × [0, 2] × [0,3] in R³, let S be the entire, closed surface of E, oriented outward. a. Find div(F). b. Use the Divergence Theorem to evaluate ff, F · dŠ, the net outward flux of F through S. Do not integrate!

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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