2.8 Using the divergence theorem, show that the volume, V, enclosed by the surface I can be obtained by evaluating the following surface integral: V = = n·x dT where x is the position vector from the origin of a Cartesian coordinate system to a point on the surface, and n is the unit outward normal vector at that point.
2.8 Using the divergence theorem, show that the volume, V, enclosed by the surface I can be obtained by evaluating the following surface integral: V = = n·x dT where x is the position vector from the origin of a Cartesian coordinate system to a point on the surface, and n is the unit outward normal vector at that point.
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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Using the divergence theorem, show that the volume, V, enclosed by the surface gamma can be obtained by evaluating the following surface
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