 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/a/solution

y

x

4 x + 6 y \frac{d y}{d x} = 0.

Where

y \neq = 0

, this is

d y / d x = - 2 x / (3 y)

. At the two points where

y = 0

, the ellipse has vertical tangent lines rather than a finite slope.

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