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Find the area, in square units, enclosed in the first quadrant by the curve y = √x, the line 2y - x + 3 = 0, and the x-axis.
- 9
- 36
- 18
- 27/4
Correct answer: 9
Solution
The area is determined by the intersection points of the curve and the line, which form a closed region in the first quadrant. By calculating the area under the curve y = √x and above the x-axis, and then subtracting the area under the line, we find that the total area enclosed is 9 square units.
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