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- Evaluate the triple integral∭E xy dV where E is the solid tetrahedon with vertices (0,0,0),(7,0,0),(0,7,0),(0,0,7).F9-6. Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z axis 2 ft -fa2-89) 2 15 ft-. Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x = TT and y = 0 by revolving about the x-axis.
- Locate the centroid y of the shaded area. (Figure 1) Express your answer in terms of some or all of the variables a, b, and h. ನಾ VE ΑΣΦ ↓↑ vec ?Find the y-coordinate of the centroid of the sector in the figure below. Assume that R = V 34 and e y = (0. y)Evaluate (x + y + z) dv, where E is the solid in the first octant that lies under the paraboloid z = 16 - x2 - y2.