Let F =< x, y, z > and suppose that the surface S and the region D satisfy the hypotheses of the Divergence Theorem. Show that the volume of D is given by : 1 Volume of D= 3 / F., ·n dS Please explain your reasoning.
Let F =< x, y, z > and suppose that the surface S and the region D satisfy the hypotheses of the Divergence Theorem. Show that the volume of D is given by : 1 Volume of D= 3 / F., ·n dS Please explain your reasoning.
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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Transcribed Image Text:Let F =< x, y, z > and suppose that the surface S and the region D satisfy the hypotheses of
the Divergence Theorem. Show that the volume of D is given by :
1
Volume of D
3
F.n ds
Please explain your reasoning.
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