6) Find the area of the part of the sphere X² + y² + Z² = 4 that lies within the cylinder X² + y² = 2y and above the XY plane.

Q: 5. Find a parametric representation for the part of the sphere x + y + z2 = 4 that lies between the…

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Q: Find the area of the surface cut out from the bottom of the paraboloid z = x² + y² by the plane z =…

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Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that that lies above the plane Z = 1

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Q: 1. Find the area of the surface the part of the plane 3x + 2y + z = 6 that lies on the first octant

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Q: Find the surface area of the part of the paraboloid z=2x² +2y² that lies under the plane 2=16.

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Q: Explain why C lies on the surface of the cylinder x² + y² = 1.

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Q: Find the center and the radius of the sphere that has the given x2 + y2 + z2 + 10x – 7y + 2z + 26 =…

A: Given a equation of the sphere , x2+y2+z2+10x-7y+2z+26=0 To fin the center and the radius of the…

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: 4. a) Find the point on the unit sphere x² + y² + z² = 1 that is closest to (1,2,3). b) Find the…

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Q: Find the point on the sphere x² + (y + 2)² + (z+ 9)² = 4 nearest to a. the xy-plane. b. the point…

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Q: 2. Find the center and radius of the sphere *+y ++4x-2y+8-4 0

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Q: Find the surface area of the part of the sphere x² + y² + z² = 4 that lies above the cone z = √√x² +…

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Q: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1