Consider the surface S described by r(u,v) =〈2 cosusinv,3 sinusinv,4 cosv〉,0≤u≤2π, 0≤v≤π, and consider the vector...

Consider the surface S described by r(u,v) =〈2 cosusinv,3 sinusinv,4 cosv〉,0≤u≤2π, 0≤v≤π, and consider the vector field F(x,y,z)=〈−2x,y,z〉.(a) Sketch or name S.

(b) Set up (DO NOT EVALUATE) ∫ ∫S F·n dS over S.

(c) Using the divergence theorem, deduce the value of the surface integral.

Expert Solution

milcah answered 2 years ago

Please find a solution to the following: Δu=0, 1<r<4, 0≤θ<2π u(1,θ)=cos5θ, 0<θ<2π u(4,θ)=sin4θ, 0<θ<2π

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