 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2007/paper-2/section-a/3/b/solution

The second component of the gradient forces

x = \pm 1

. The first then requires

x y = 1

. Apart from

(1, 1)

(- 1, - 1) .

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