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Find the area (in square units) of the region in the first quadrant bounded by the curve y = sqrt(x), the line 2y - x + 3 = 0, and the x-axis.

1. 9
2. 36
3. 18
4. 27/4

Correct answer: 9

Solution

Integrating with respect to y between the parabola x = y² and the line x = 2y + 3 from y = 0 to y = 3 gives an area of 9 square units.

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