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Define the geometric definition of divergence

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Reference no: EM131614739

Qusetion: 1. Use the geometric definition of divergence to find div v→ at the origin, where v→ = -r→ . Check that you get the same result using the definition in Cartesian coordinates.

2. (a) Let f(x, y) = axy + ax2y + y3. Find div grad f.

(b) If possible, choose a so that div grad f = 0 for all x, y.

Reference no: EM131614739

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