Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2013 / Paper 2 / 8 / b

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- Solution b

Solution

For the divergence in Cartesian coordinates, differentiate each component with respect to its own coordinate:

\nabla \cdot G = 2 x z + 3 y^{2} z + 0 = z (2 x + 3 y^{2}) .

The third component contributes zero because it is independent of

z

.

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