Find the divergence of F = (x², y², z²) at the point (4, 3, 3).
Answer and explanation
Correct answer: D. 20
- Step 1: div F = ∂(x²)/∂x + ∂(y²)/∂y + ∂(z²)/∂z = 2x + 2y + 2z. Step 2. At the point: 20. Answer: 20. Why not the others: 34 is what you get if you evaluate the components. 10 is what you get if you forget the factor 2. 72 is what you get if you multiply the partial derivatives.
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