 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-1/1/b/solution

The defining equation gives

y^{2} = 2 - (2/3) x^{2} \leq 2

. Equality is attainable at

x = 0

, with the positive branch giving

y_{m a x} = 2 at (0, 2) .

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