Let S={(x,y,z) | x^2+y^2+4z^2=9} be a closed surface in R3. F(x,y,z)=(cos x, sin x, x^2+y^2+z^2) is...

Let S={(x,y,z) | x^2+y^2+4z^2=9} be a closed surface in R3. F(x,y,z)=(cos x, sin x, x^2+y^2+z^2) is a vector field. Compute ∫∫ (▽xF) ds

Expert Solution

The question is particularly wrong at the vector F. It will be (cos x , sin y , x^2+ y^2+ z^2). Then can calculate the integral value in xy-plane.

In this similar way you can solve other similar problems.

Colby Messinger answered 7 months ago

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