Question

Find the divergence of the vector function A=x² i+x²y² j+24x²y²z³ k.

Answer 1

The diversion of vector function is
`overlineV.F(∂/(∂x),∂/(∂y)∂/(∂z)).(f1.f2.f3)=(∂f1)/(∂x),(∂f2)/(∂y),(∂f3)/(∂z)`
`overlineV.F=∂/(∂x)(x^2)i+∂/(∂y)(x^2y^2)j+24∂/(∂x)(x^2y^2x^3)k`

`overlineV.F=2x+2x^2y+72x^2y^2z^2`

Thus, divergence of vector function is`2x+2x^2y+72x62y^2x^2`