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Q: Use cylindrical coordinates. Evaluate II Vx2 + y2 dv, where E is the region that lies inside the…
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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…
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Q: Use cylindrical coordinates. Evaluate II V² + y2 dV, where E is the region that lies inside the…
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Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…
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Q: Use cylindrical coordinates. Evaluate z dV, where E is enclosed by the paraboloid z = x2 + y2 and…
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Q: Use cylindrical coordinates. Evaluate V x2 + y2 dV, where E is the region that lies inside the…
A: ∫∫∫E x2+y2 dv= ∫∫∫ x2+y2 dx dy dzPut | Thenx = r cos θ | dx dy = r dr dθy = r…
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Q: Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : 0 <…
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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
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Q: Use cylindrical coordinates. Evaluate II| Vx² + y2 dv, where E is the region that lies inside the…
A: We have to evaluate ∭Ex2+y2dV, where E is the region that lies inside the cylinder x2+y2=1 and…
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Q: Use cylindrical coordinates. Evaluate || Vx²+ y? dv, where E is the region that lies inside the…
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Q: Use cylindrical coordinates. Evaluate z dV, where E is enclosed by the paraboloid z = > =x² + y2 and…
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Q: Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the…
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- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?Use cylindrical coordinates.Evaluate x2 + y2 dV, E where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = −3 and z = −1.Use cylindrical coordinates.Evaluate x dV E , where E is enclosed by the planes z = 0 and z = x + y + 5 and by the cylinders x2 + y2 = 1 and x2 + y2 = 4.
- Evaluate ∭Rx2+y2−−−−−−√dV, where R is the region that lies inside the cylinder x^2+y^2=16 and between the planes z=−3 and z=2. (Hint: use cylindrical coordinates)Use cylindrical coordinates.Evaluate the triple intergral 5(x3 + xy2) dV, where E is the solid in the first octant that lies beneath the paraboloid z = 4 − x2 − y2.Integrate G(x, y, z) = z, over the cylindrical surface y2 + z2 = 4, z >=0, 1<=x<=4.