Find a parametric representation for the surface. the part of the sphere x2 + y? + z? = 16 that lies above the cone z = Vx² + y² (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > Vx2

Q: Find an equation of the sphere that passes through the origin and whose center is (4, 3, 4). X

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Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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Q: Find an equation of the sphere with center (1, –11, 8) and radius 10.

A: Center of sphere=1,-11,8radius of sphere , r=10Sphere has 3-dimensions ,hence equation of sphere…

Q: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

Q: Find the equation of the XZ plane.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the canonical or standard equation of the sphere, if it exists. 2x² +2y² + 2z² – 4x+12y–16z+6=0…

A: To write the canonical or standard equation of the below sphere. 2x2+2y2+2z2−4x+12y−16z+6=0

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Identify and sketch the surface r+y +- 2r +2 = 0.

A: Answer

Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: Find the matrix A of the quadratic form associated with the equation. 3x2 2xy + 3y² + 8z² - 46 = 0 A…

A: The equation in the matrix form is Applying congruence operation on the matrix…

Q: a sphere has center (5,7,7) and is tangent to the yz coordinate plane. write an equation for the…

A: Center of sphere is And is tangent to yz plane

Q: Find the equation of the sphere passing through P(- 8, 7, 8) and Q(4, – 1, 7) with its center at the…

A: If the center of the sphere has coordinates h,k,l and radius r, then the equation of the sphere is…