Find the divergence of the vector F= xe^-x i + y j – xz k(a) (1 – x)(1 + e^-x)(b) (x – 1)(1 + e^-x)(c) (1 – x)(1 – e)(d) (x – 1)(1 – e)The question was posed to me in an interview for job.I would like to ask this question from Divergence in section Vector Calculus of Electromagnetic Theory

Find the divergence of the vector F= xe^-x i + y j – xz k(a) (1 –

1.	Find the divergence of the vector F= xe^-x i + y j – xz k(a) (1 – x)(1 + e^-x)(b) (x – 1)(1 + e^-x)(c) (1 – x)(1 – e)(d) (x – 1)(1 – e)The question was posed to me in an interview for job.I would like to ask this question from Divergence in section Vector Calculus of Electromagnetic Theory
Answer» The correct OPTION is (a) (1 – x)(1 + e^-x) Easy explanation: 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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