Evaluate the triple integral using only geometric interpretation and symmetry. G (7 + 5x²yz²) dv, where C is the cylindrical region x² + y² ≤ 16, -6 ≤ z ≤ 6

Q: Evaluate the surface integral. JS (x+y+z) dS, S is the parallelogram with parametric equations x = u…

A: We find the surface integral.

Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y2 + z² =…

A:

Q: [(x + y + 2) ds, (x+y+z) ds, S is the parallelogram with parametric equations x = u + v, y = u - v,…

A: see my solutions

Q: Use Spherical coordinates to evaluate the E triple integral [[F (x² + y² +2²3)+V, Where I is the…

A: Evaluation of the triple integration using Spherical coordinates.

Q: Use spherical coordinates to evaluate x² + y² + z² = 36. I x² + y² dV, where E is the region between…

A: is the region between the spheres and .We have to find .

Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: we have to find the volume by cylindrical coordinates of  ∬∫E(x+y+z) where E is solid in the first…

Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: Step:- 1 Given that ∫∫∫E(x+y+z)dv; Here E lies in first octant, under the paraboloid z=9-x2-y2 Take…

Q: 2x2 dv, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0,…

A:

Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 36. Answer= (x…

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Q: Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 7 + x…

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Q: Use Cartesian coordinates to evaluate [[[ ²² y² dv D where D is the tetrahedron in the first octant…

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Q: T Use spherical coordinates to find the volume of the ball p < 3 that is situated between the cones…

A:

Q: -2x-x² •√√√x² + y² Write the integral 1.S cylindrical coordinates. DO NOT EVALUATE THE INTEGRAL!!! +…

A: Given an integral: To write the integral in cylindrical coordinates.

Q: Evaluate TI Vx + y2 dv, where E is the region that lies inside the cylinder x2 + y? = 1 and between…

A: In this question, we have to evaluate the triple integral by using cylindrical coordinates.

Q: ch is the centroid of the section reckoned lower left hand corner. 100 100 600 100 -500- Dim

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Q: Convert into cylindrical coordinates. Tis in the First Octant bounded by Z = 3√x²+4/² Z SS S dy √x²…

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Q: Express the given rectangular triple integral as a triple integral in cylindrical coordinates.…

A: Express the given rectangular triple integral asa triple integral in cylindrical coordinates…

Q: circle centered d complex varia tour integral egration is take

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Q: (x + y + z) ds, S is the parallelogram with parametric equations x = u + v, y = U-v, z = 1+2u+v, 0 ≤…

A:

Q: Evaluate II| 6x(x2 + y2) dv, where E is the solid in the first octant that lies beneath the…

A: Since the integral lies in first octant so 0≤θ≤π/2 and z≥0.  Converting into cylindrical coordinates…

Q: ܐ 0 √32-x²-y² Se²³+²+² dzdydx ex+y 4-16-xx+y? 0

A: Convert the cartesian coordinates into spherical coordinates.

Q: Find the volume of the region of space outside the cylinder x² + y² = 16 and inside the sphere x² +…

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Q: Find the area of surface that is generated by revolving the portion of the curve x = V64 – y² , – 2…

A: Solution :-