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Consider the solid D given by O= {(r,y, 2) € R°; 7+ỷ <=<2- VF +y}. Let F(1, y, 2) = (2rz + e )ï+ (y°z+ arctan(r2))j – yz°k be a vector field defined on D. Let S be the boundary of D. Use Divergence Theorem to calculate F.ñ do where n is the outward unit normal of the surface S.

Consider the solid D given by O= {(r,y, 2) € R°; 7+ỷ <=<2- VF +y}. Let F(1, y, 2) = (2rz + e )ï+ (y°z+ arctan(r2))j – yz°k be a vector field defined on D. Let S be the boundary of D. Use Divergence Theorem to calculate F.ñ do where n is the outward unit normal of the surface S.

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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Consider the solid D given by D = {(r, y, 2) E R°; a²+y² < z < 2- Vx² + y²}. (2.rz + eji+ (y²z+ arctan(xz))j – yz²k be a vector field defined Let F(r, y, 2) : on D. Let S be the boundary of D. Use Divergence Theorem to calculate Fñ do where n is the outward unit normal of the surface S.
Transcribed Image Text:Consider the solid D given by D = {(r, y, 2) E R°; a²+y² < z < 2- Vx² + y²}. (2.rz + eji+ (y²z+ arctan(xz))j – yz²k be a vector field defined Let F(r, y, 2) : on D. Let S be the boundary of D. Use Divergence Theorem to calculate Fñ do where n is the outward unit normal of the surface S.
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