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Can you help me with these four questions. Thank you. Use cylindrical coordinates. Evaluate IJJE (x + y + z) dV, where E is the
Can you help me with these four questions. Thank you.
Use cylindrical coordinates. Evaluate IJJE (x + y + z) dV, where E is the solid in the first octant that lies under the paraboloid z = 16 - x2 - yz.Use cylindrical coordinates. Evaluate ff] x2 dV, where E is the solid that lies within the cylinder X2 + y2 = 9, above the plane 2 = 0, and below the cone E 22 = 35x2 + 36y2. Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = \\ x2 + y2 and the sphere x2 + y2 + z2 = 32. 128x(V2 -1) 3 X(a) Find the volume of the region E bounded by the paraboloids z = x2 + yz and z = 45 - 4x2 - 4y2. (b) Find the centroid of E (the center of mass in the case where the density is constant). ( x , y, Z ) =(Step by Step Solution
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