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Let R> 0 and s be the sphere: x^2+y^2+z^2 = R oriented by normal vectors pointed outward. Evaluate: ]] (x³i+y³j + z³k) · ds.

Let R> 0 and s be the sphere: x^2+y^2+z^2 = R oriented by normal vectors pointed outward. Evaluate: ]] (x³i+y³j + z³k) · ds.

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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Let R > 0 and s be the sphere: x^2+y^2+z^2 = R oriented by normal vectors pointed outward. Evaluate: ]] (x³i+y³j+z³k) · ds.
Transcribed Image Text:Let R > 0 and s be the sphere: x^2+y^2+z^2 = R oriented by normal vectors pointed outward. Evaluate: ]] (x³i+y³j+z³k) · ds.
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