dx dy dz where W is the solid bounded by the two spheres x2 + y2 + z2 = a? and Evaluate + y? + z?)3/2' (x² x2 + y2 + z? = b², where 0 < b < a.

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Q: Find X || d'y dx² t' Od²y dr² = for the following parametric functions. y = √t 43/2 4 015/2

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Q: 6) x² + (y – 4)² = 4 Center Radius

A: The given equation is x2+(y-4)2=4This is in the form of (x-h)2+(y-k)2=r2 which is a circle equation…

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Q: 10. Find all the planar and hyperbolic points on the surface o(u, v) = u-3uv².

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Q: Sį : -8(y – 2) = (x – 1)² S2 : y + z = 2 S3 : x = 0 S4 : y = 0 S3 : z = 0 %3D

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Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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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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A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

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Q: (1) Find the area of the surface of the portion of the cone 2 +y² between the cylinder y? = x and…

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

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Q: What is the surface area of a hyperbolic paraboloid described by parametric eqn: z = xy, where x,…

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Q: -2t Find the area A of the region between the parametric curve, x = = est, y= =e 6. 0<t< In5 and the…

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Q: Manuben

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Q: 4. Find the surface area of the part of the sphere x² + y² + z² = 1 above the plane z = 1/√2.

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Q: The parametric form of the solutions of the PDES -y zz +x zy = 0, :(s, s²) = s³ (s, s*) %3D %3D z…

A: Option (c) is correct

Q: 12. Determine the volume of the solid above the surface z = √x² + y² and inside the sphere x² + y² +…

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Q: Let S be the sphere 2 + y² +2²=9 oriented outwards, an F = (5x, 7z, -3y) Evaluate: (6₂ F. ds. The…

A: let S be the sphere x2+y2+z2=9 oriented outwards and F=5x,7z,-3y evaluate ∫∫SF·dS

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Q: • S / SE x² + y² + ₂²: = 36 in the first octant. Evaluate 1 dV, where E lies between the spheres x²…

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Q: Suppose that the Celsius temperature at the point (x,y,z) on the sphere x +y +z = 1 is T= 1100xyz".…

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Q: Use Cartesian coordinates to evaluate y² dV D where D is the tetrahedron in the first octant bounded…

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