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Find the area (in square units) of the region A = {(x, y): y²/2 <= x <= y + 4}.

1. 8/3
2. 16/3
3. 4
4. 18

Correct answer: 18

Solution

The parabola x = y²/2 and line x = y + 4 meet at y = -2 and y = 4; integrating the horizontal width over this range gives area 18.

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