. 6. Calculate the flux integral f F n ds, where C is the positively oriented circle of radius 1 centered at the origin, and F(x, y) = (x, 2y). Do this by parametrizing C. 7. Calculate the divergence VF for the previous example, and verify the divergence theorem in that example: fF.n ds = SSRV · F dA, where R is the unit disc of radius 1, so that OR = C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Calculate the flux integral fFn ds, where C is the positively oriented
circle of radius 1 centered at the origin, and F(x, y) = (x, 2y). Do this by
parametrizing C.
7. Calculate the divergence VF for the previous example, and verify the
divergence theorem in that example: fF.n ds = SSRV.F dA, where R
is the unit disc of radius 1, so that OR = C.
Transcribed Image Text:6. Calculate the flux integral fFn ds, where C is the positively oriented circle of radius 1 centered at the origin, and F(x, y) = (x, 2y). Do this by parametrizing C. 7. Calculate the divergence VF for the previous example, and verify the divergence theorem in that example: fF.n ds = SSRV.F dA, where R is the unit disc of radius 1, so that OR = C.
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