Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS of the vector field F = tan−1(4y + 5z) i + e z2 + 4 cos x j + √ x2 + y2 + z2 k, where S is the surface of the region bounded by the graphs of z = √ x2 + y2 and x2 + y2 + z2 = 49.
Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS of the vector field F = tan−1(4y + 5z) i + e z2 + 4 cos x j + √ x2 + y2 + z2 k, where S is the surface of the region bounded by the graphs of z = √ x2 + y2 and x2 + y2 + z2 = 49.
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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