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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.
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