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Vector integral - stokes therom

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Evaluate the line integral by stokes theorem (clock wise as seen by a person standing at the origin). Calculate this integral by stoke's theorem for the following C and F (referred to right-handed cartesian coordinates).

F=[y, 1/2 z, 3/2 y]

C the circle x^2 + y^2 +z^2 = 6z, z=x+3

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Problem:

Evaluate the line integral by Stokes theorem (clock wise as seen by a person standing at the origin). Calculate this integral by Stoke's theorem for the following C adn F (referred to right-handed cartesian coordinates).

F=[y, 1/2 z, 3/2 y]

C the circle x^2 + y^2 +z^2 = 6z, z=x+3

Solution:

We have to compute the integral
...

Solution Summary

A solution solving for a vertical intergral using Stoke's theorem.

$2.19
See Also This Related BrainMass Solution

Vector Integrals : Stokes' Theorem and Vector Fields

7.. Given the vector field F(x,y,z) = xi + (x+2y+3z) j + z2 k
Let C he the circle on the xy-plane, centered at the origin (0,0) and having as radius r=5. Let S be the part of the paraboloid z = 16? x2 ? y2 which lies above the xy-plane (z ≤ 0). Use the Stokes's Theorem to evaluate the line integral of this vector field along C.

(See attached file for full problem description)

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