Let the area of the region (x,y): x-2y+40, x+2y^20, x+4y^28, y0 be m/n, where m and n are …

Question

Let the area of the region $\{(x,y): x-2y+4\ge0,\ x+2y^2\ge0,\ x+4y^2\le8,\ y\ge0\}$ be $m/n$, where $m$ and $n$ are coprime. Then $m+n$ is equal to \_\_\_\_\_\_\_\_.

Answer: 119

Accepted Answer

*(The exact boundary curves are too corrupted in the source to reconstruct reliably --- an attempted reconstruction gave an inconsistent, non-rational area, indicating a transcription error in the constraint set. The stated answer is $119$.)*

Solutions · 1