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7 August, 19:27

Find the circulation of Bold Upper F equals 5 x Bold i plus 7 z Bold j plus 6 y Bold k around the closed path consisting of the following three curves traversed in the direction of increasing t.

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  1. 7 August, 20:54
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    The circulation of the given vector is (5/2) x² + 7yz + 6yz + C

    Step-by-step explanation:

    Given that F = 5xi + 7zj + 6yk

    The circulation of F is given as

    Integral of F. dr

    dr = idx + jdy + kdz

    F. dr = (5xi + 7zj + 6yk). (idx + jdy + kdz)

    = 5xdx + 7zdy + 6ydz

    Integral of F. dr = Integral of (5xdx + 7zdy + 6ydz)

    = (5/2) x² + 7yz + 6yz + C
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