 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2021/paper-2/10/solution

On the disc

z = 0

, the upward normal selects only the third component, which equals

e^{0} / (1 + 0) = 1

\int_{D} F \cdot n d S = \int_{D} 1 d S = π .

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