(Section 17.6, 17.8) Consider F = xî – 2yĵ + ½ 2²k. Let S be the surface of the solid bounded by S₁: x² + y² = 4, S₂: z=0, S3 : 2 = 1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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a) Use the diveragence theorem to calculate the outward flux through the closed surface. 

 

3. (Section 17.6, 17.8) Consider ₹ = rî – 2yĵ + ½z²k. Let S be the surface of the solid bounded by
S₁ : x² + y² = 4, S₂: z = 0, S3 : 2 = 1.
Transcribed Image Text:3. (Section 17.6, 17.8) Consider ₹ = rî – 2yĵ + ½z²k. Let S be the surface of the solid bounded by S₁ : x² + y² = 4, S₂: z = 0, S3 : 2 = 1.
(e) Use div F dv = [] F.d3 + [fF.d3 + [f F·ds to determine the flux through S₁ away from the z-axis.
S₁
Sa
Transcribed Image Text:(e) Use div F dv = [] F.d3 + [fF.d3 + [f F·ds to determine the flux through S₁ away from the z-axis. S₁ Sa
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