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4. Let a > 0. Let o be cube, oriented by outward unit normal n, with edges of length 2a, centered at the origin, whose volume is 8a3 and whose eight vertices are given by (±a, ±a, ±a). Let F be the inverse square vector field where r = xi+yj+zk as usual. Evaluate the flux integral: SS. F · n dS using a method of your choice.

4. Let a > 0. Let o be cube, oriented by outward unit normal n, with edges of length 2a, centered at the origin, whose volume is 8a3 and whose eight vertices are given by (±a, ±a, ±a). Let F be the inverse square vector field where r = xi+yj+zk as usual. Evaluate the flux integral: SS. F · n dS using a method of your choice.

Advanced Engineering Mathematics
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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4. Let a > 0. Let o be cube, oriented by outward unit normal n, with edges of length 2a, centered at the origin, whose volume is 8a3 and whose eight vertices are given by (±a, ±a, ±a). Let F be the inverse square vector field where r = xi+yj+zk as usual. Evaluate the flux integral: SS. F · n dS using a method of your choice.
Transcribed Image Text:4. Let a > 0. Let o be cube, oriented by outward unit normal n, with edges of length 2a, centered at the origin, whose volume is 8a3 and whose eight vertices are given by (±a, ±a, ±a). Let F be the inverse square vector field where r = xi+yj+zk as usual. Evaluate the flux integral: SS. F · n dS using a method of your choice.
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