Solution-Determine geometrically whether the flux of the

Determine geometrically whether the flux of the vector field

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Reference no: EM13964886

Consider the space region bounded below by the right angled cone z=sqrt(x^2+y^2), and above by the sphere
x^2+y^2+z^2=2.

These two surfaces intersect in a horizontal circle, let T be the horizontal disk having this circle as boundary, S the spherical cap forming the upper surface, and U the cone forming the lower surface.

Orient S,T,U "upwards", so the normal vector has a positive k-component.

1. For each of the three surfaces, determine geometrically (without calculation) whether the flux of the vector field F= -x*i-y*j is positive or negative.

2. Calculate the flux of F ACROSS EACH SURFACE (with the upwards orientation) .

Reference no: EM13964886

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Determine geometrically whether the flux of the vector field

Reference no: EM13964886

Reference no: EM13964886

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