Let I be the flux of G = (4e³,9x³ex³,0) through the upper hemisphere S of the unit sphere. (a) Find a vector field A such that curl(A) = G. (b) Calculate the circulation of A around S. (c) Compute I, the flux of G through S. (a) A = (b) √ A. ds (c) I = =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let I be the flux of G = (4e³,9x³ex⁹, 0) through the upper hemisphere S of the unit sphere.
(a) Find a vector field A such that curl(A) = G.
(b) Calculate the circulation of A around as.
(c) Compute I, the flux of G through S.
(a) A =
(b) √ A · ds =
(c) I =
Transcribed Image Text:Let I be the flux of G = (4e³,9x³ex⁹, 0) through the upper hemisphere S of the unit sphere. (a) Find a vector field A such that curl(A) = G. (b) Calculate the circulation of A around as. (c) Compute I, the flux of G through S. (a) A = (b) √ A · ds = (c) I =
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