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What is the divergence of the vector field f = 3x^2i + 5xyj + xyz^3kA at the point (1, 2, 3)?

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What is the divergence of the vector field f = 3x^2i + 5xyj + xyz^3kA at the point (1, 2, 3)? Answer: 65

$$= 6x + 5x + 3xyz^2$$ Point (1,2,3) par: $$= 6(1) + 5(1) + 3(1)(2)(3)^2$$ $$= 6 + 5 + 54$$ $$= 65$$ Answer: Divergence at point (1,2,3) is 65.

Question context

This question is part of ⚙️ Mechanical Eng within the broader 🛠️ Engineering Essentials subject and appears in the SPSC – Sindh Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.