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(c) Show that if is continuously differentiable in a given region V and on its boundary S, then. Løds-Vødv

(c) Show that if is continuously differentiable in a given region V and on its boundary S, then. Løds-Vødv

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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Please do (c)
Question Four (a) Verify Green's theorem in the plane for fe(3a2-8y2) da +(4y - 6xy) dy, where C is the boundary of the region y = √ and Y = (b) If F(x, y, z)= azi+3ayj-22k, evaluate J, F-dS using Gauss's theorem when S is the closed cylinder bounded by the surface a² + y2 = 1 and the planes z = 0 and z = 3. (c) Show that if is continuously differentiable in a given region V and on its boundary S, then føds dS = √₁ 760 Vødv
Transcribed Image Text:Question Four (a) Verify Green's theorem in the plane for fe(3a2-8y2) da +(4y - 6xy) dy, where C is the boundary of the region y = √ and Y = (b) If F(x, y, z)= azi+3ayj-22k, evaluate J, F-dS using Gauss's theorem when S is the closed cylinder bounded by the surface a² + y2 = 1 and the planes z = 0 and z = 3. (c) Show that if is continuously differentiable in a given region V and on its boundary S, then føds dS = √₁ 760 Vødv
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