 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-1/17/a/i/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

The zero set consists of the three lines

x = 0

y = 0

and

y = x - 1

. Their pairwise intersections are

(0, 0), (1, 0), (0, - 1) .

The bounded triangle has

0 \leq x \leq 1

and

x - 1 \leq y \leq 0

. Its edges and interior contours are shown below.

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