Use spherical coordinates to evaluate the triple integral where E is the region bounded by the spheres x² + y² + ² = 1 and x² + y² + z² = 4. E e=(2²+y² +2²) x² + y² + x² dV,

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 to evaluate /R Vx2 + y² + z² dV , where B is the ball x² + y? + z? < 10 В

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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 spherical coordinates to evaluate the triple integral e-(z²+y²+z²) I. dV, E Væ2 + y? + 2² where…

A: Evaluation of the triple integral by using spherical coordinates

Q: Use spherical coordinates to evaluate the triple integral /|| 2² + y² + 2² dV, where E is the ball:…

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Q: Use spherical coordinates to evaluate the triple integral x² + y² + z² dV, where E is the ball: x² +…

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Q: 2. Calculate the centroid of the thin plate R which bounded by a = 1, y = 0 and, x² + y² = 4.

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Q: luate the surface integral. // (x + y + z) ds, S is the parallelogram with parametric equations x =…

A: Sub x= u+v  y= u-v  z= 1+2u+v

Q: Use spherical coordinater to set up the integmal SzdV, the integral SSSz dV, where Q lies between…

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Q: Use spherical coordinates to evaluate the triple integral e-(z²+z²+z²) / x² + y² + z² where E is the…

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Q: /2-z²-y² Convert the triple integral to spherical coordinates then evaluate it: TVx² + y² + z² dz dy…

A: The relation between cartesian and spherical polar coordinates of a point is…

Q: By changing to polar coordinates, evaluate the integral ∬D (x2+y2) 3/2 dxdy where D is the disk…

A: Given integrand is ∬Dx2+y232dxdy where, D is the disk x2+y2≤49 We have to evaluate ∬Dx2+y232dxdy…

Q: Use Stokes' Theorem to find the line integral [((x² + 2y² ((x + 2y²)i + (y + 2²)j + (2 + 2x²)k) · dř…

A: Given that C is boundary of triangle with vertices 1,0,0,0,1,0,0,0,1 So, equation of the plane with…

Q: Use spherical coordinates to find [[[, z2 dV.

A: In this question, we find the triple integral by using spherical coordinate with a sketch of solids

Q: Use spherical coordinates to evaluate the triple integral x² + y² + z² ≤ 49. [[[³ E x² + y² + z² dV,…

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Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) x² + y² + z² SIS E Answer: =…

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Q: Use spherical coordinates to evaluate the triple integral x² + y² + z² ≤ 64. 11. 2² + y² + 2² dV,…

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Q: 2. Let W be the region where x2 + y? + z2 2. Use spherical coordinates to find I (2? + y? + 2?)-i…

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Q: Use spherical coordinates to evaluate fff (9-x² - y2) dV where E is the solid hemisphere E x² + y2 +…

A: To Evaluate: The integral ∫∫∫E9-x2-y2dV where E: x2+y2+z2≤9 , z≥0 using spherical coordinate system.

Q: 311. Evaluate surface integral where S is hemisphere x² + y² + z² = x² + y² + z² = a², z ≥ 0.…

A: Parametrize the surface and calculate corresponding ds.

Q: Calculate the double integral ∬Rsin√x2+y2dxdy by transforming to polar coordinates. The region R is…

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