 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-1/14/a/solution

The exponential function is strictly positive, so the zero level set is determined entirely by its prefactor:

x y = \frac{1}{4}, equivalently y = \frac{1}{4 x} (x \neq = 0) .

This is a rectangular hyperbola with branches in the first and third quadrants.

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