2 : Let S be a closed surface enclosing a volume R. Let F = fVg, where g(x, y, z) is a harmonic function and the gradients of f(x, y, z) and g(x, y, z) are orthogonal. Show that the outer flux of F through S is 0. Hint Note that F = (fg, fgy, f9z). You must prove any expression you use in the solution of the problem (except the ones we use in class). %3D

2 : Let S be a closed surface enclosing a volume R. Let F = fVg, where g(x, y, z) is a harmonic function and the gradients of f(x, y, z) and g(x, y, z) are orthogonal. Show that the outer flux of F through S is 0. Hint Note that F = (fg, fgy, f9z). You must prove any expression you use in the solution of the problem (except the ones we use in class). %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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