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1. Evaluate 2x dV where E is the region under the plane 2x + 3y + 2 = 6 that lies in the E first

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1. Evaluate 2x dV where E is the region under the plane 2x + 3y + 2 = 6 that lies in the E first octant (I, y, > > 0). 2. Evaluate Ary dV where E is the region bounded by z = 2x2 + 2y - 7 and = = 1, using E cylindrical coordinates. 3. Evaluate x2 +y' dV where E is the part of a2 + y' + 2 =4 with y 2 0, using spherical E coordinates. 4. Evaluate ry' dA where R is the region bounded by xy = 1, ry = 3, y = 2, and y = 6 using R the transformation r = v/6u, y = 2u

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