 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-2/18/b/solution

The graph is even and periodic with period

π

, bounded between

1

and

e

. It rises from each minimum at

kπ

to a maximum halfway to the next minimum, then falls back. It has horizontal tangents at all these extrema and repeats smoothly.

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