 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-2/16/a/i/solution

The three Cartesian contributions to the divergence are

2 (y + z)

- 2 y

, and

- 2 z

. Hence

\nabla \cdot v = 2 (y + z) - 2 y - 2 z = 0 .

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