ax.)-( Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments. 3 X 1 2 3

Locate the centroid of the solid generated when the area of x^2 + y^2 = a^2 in the first quadrant and the fourth quadrant by 2x - y = 2a and x = 0 about x = 0, a. (0, 2a/3) b. (0,-2a/3) c. (0,-a/16) d, (0, a/16)

Solve the problem with complete solution and draw the figure. Determine the ordinate of the centroid of the area bounded by the curve x2 = 8y and the line 2x – y = 0.

Find the centroid of the region enclosed by the parabola y= 1-x^2 and by the x-axis

Find the area of the surface. The part of the cylinder y2 + z2 = 9that lies above the rectangle with vertices (0, 0), (5, 0), (0, 2), and (5, 2)

Find the centroid of the solid region described by the figure.

Find the centroid of the region in the plane enclosed by the curves y = +-(1 - x2)^(-1/2) and the lines x = 0 and x = 1.

8.3 27)Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.

Find the centroid of the area bounded by a^2y=x^3, the y axis and y-8a=0