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    Gradient, Divergence and Curl

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    Real Analysis
    Gradient, Divergence and Curl (I)

    If r = xi + yj + zk and R denote ║r║
    Verify
    (1) ▼R^n = nR^(n-2) r
    (2) ▼×(R^n r) = 0
    Verify
    (1) ▼*(F + G) = ▼*F + ▼*G
    (2) ▼×(F + G) = ▼×F + ▼×G

    © BrainMass Inc. brainmass.com June 3, 2020, 5:35 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/31420

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    Solution Summary

    This solution is comprised of a detailed explanation of the problems of Gradient, Divergence and Curl.
    It contains step-by-step explanation for the following problem:
    If r = xi + yj + zk and R denote ║r║
    Verify
    (1) ▼R^n = nR^(n-2) r
    (2) ▼×(R^n r) = 0
    Verify
    (1) ▼*(F + G) = ▼*F + ▼*G
    (2) ▼×(F + G) = ▼×F + ▼×G

    Solution contains detailed step-by-step explanation.

    $2.19

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