Final answer:
To evaluate the area of the region bounded by y=sqrt x, y=3, and y axis, we need to find the points of intersection between these curves and integrate the function sqrt(x) from x = 0 to x = 9.
Step-by-step explanation:
To evaluate the area of the region bounded by the curves y = sqrt(x), y = 3, and the y-axis, we need to find the points of intersection between these curves. Setting the equations equal to each other, we get:
sqrt(x) = 3
Squaring both sides, we have:
x = 9
So, the region is bounded by x = 0, x = 9, and y = 3. The area can be calculated by integrating the function sqrt(x) from x = 0 to x = 9:
Area = ∫(0 to 9) sqrt(x) dx
Using the power rule of integration and evaluating the integral, we find that the area of the region is 18 square units.