Find the divergence of the vector F= xe-x i + y j – xz k
Find the divergence of the vector F= xe-x i + y j – xz k Correct Answer (1 – x)(1 + e-x)
Div(F) = Dx(xe-x) + Dy(y)+Dz(-xz) = -xe-x + e-x + 1 – x = e-x(1 – x) + (1 – x) = (1 – x)(1 + e-x).
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Feb 20, 2025