2. (a) Let S be the part of hemisphere x² + y² + z² = 4 in the first octant. Compute faz²ds. (b) Find the flux of F = yzj + z²k outward through the surface S cut from y2 + ² = 1, z ≥ 0, by the planes x = 0 and x = 1.
2. (a) Let S be the part of hemisphere x² + y² + z² = 4 in the first octant. Compute faz²ds. (b) Find the flux of F = yzj + z²k outward through the surface S cut from y2 + ² = 1, z ≥ 0, by the planes x = 0 and x = 1.
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:2. (a) Let S be the part of hemisphere x² + y² + z² = 4 in the first octant.
Computer2²d.
S
(b) Find the flux of F = yzj+z²k outward through the surface Scut
from y2 + ² = 1, z ≥ 0, by the planes x 0 and x = 1.
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