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mathematical methods help

Calculate the divergence and curl of each of the following vector fields, where (x, y, z) and
(r, θ, φ) are standard cartesian and spherical coordinates, respectively; [8 Marks]
(a) F(x, y, z) = x^2yex + (ye^(y^2)+ xz)ey + (x sin(y) + y^4)ez,
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Avatar for Aty100
Aty100
15
woah :confused:
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Avatar for TeeEm
TeeEm
19
Original post by tayyy
Calculate the divergence and curl of each of the following vector fields, where (x, y, z) and
(r, θ, φ) are standard cartesian and spherical coordinates, respectively; [8 Marks]
(a) F(x, y, z) = x^2yex + (ye^(y^2)+ xz)ey + (x sin(y) + y^4)ez,


I do not see what polars have to do with this question ( I suspect that there were some vector functions further down in the sheet in polars)

but

the divergence of F=(F1,F2,F3) is defined
as (d/dx,d/dy,d/dz) . (F1,F2,F3)


and curl of F=(F1,F2,F3) is defined as
(i,j,k) . (d/dx,d/dy,d/dz) x (F1,F2,F3)

so happy partial differentiation:smile:

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