Explore BrainMass

Explore BrainMass

    Vector Fields and Surface Integrals

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the flux of the vector field F(x, y, z) = (y, 0, z2) out of the unit sphere S. In other words, find the surface
    integral ∫∫S (y, 0, z2) * dS, where the sphere S is oriented by the outward normal.
    Let S be the cylinder x2 + y2 = 1, 0 ≤ z ≤ 6. Find ∫∫S (x4 + 2x2y2 + y4)2 dS.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:38 pm ad1c9bdddf


    Solution Summary

    Vector fields and surface integrals are investigated. The solution is detailed and well presented.