Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1, 5, 2) and radius 2

Q: Find the coordinates of the foci for the following hyperbola. (x – 5)2 (y + 7)² = 1 16 25

A:

Q: Show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

A: To show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 1, 4).

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: Equation of the sphere

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9.  And center is (-1,-7,4).

Q: Find an equation of the largest sphere with center (6, 2, 8) that is contained in the first octant.…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 3) Radius:…

A:

Q: Find the equation of a sphere if one of its diameters has endpoints (5, 4, 3) and (1, 6, -9)

A: Consider the endpoints of the diameter: (5, 4, 3) and (1, 6, -9) To calculate the diameter of the…

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Solution: The objective is to find the standard equation of the sphere

Q: find the coordinates of the foci and vertices, the endpoints of the transverse axis, conjugate axis,…

A: Given:- x9/9- y2/25=1 To find:- find the coordinates of the foci and vertices, the endpoints of the…

Q: In each part, find the standard equation of the sphere that satisfies the stated conditions. (a)…

A:

Q: Identify the surface of the equation, show solutions.   Choices: A. Elliptic Paraboloid B. Cone…

A:

Q: Find the center and radius of the sphere with equation (x + 1)² + (y + 2)² + (z – 2)² = 4 Center:…

A: Explanation of the solution is given below...

Q: 1-sketch the following hyperboloid z² – x² – y² = 1 %3D

A:

Q: Find an equation of the sphere that passes through the point (1, 8, 5) and has center (3, 1, −3).

A: We have to find equation of sphere.

Q: a) [. Show that the equation 6x + 6y6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

A:

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 7) Radius:…

A: Given the centre and radius and we have to find the standard equation of sphere

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 8) Radius:…

A:

Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

A:

Q: a) [ Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its…

A:

Q: Find the surface of the regular pyramid.

A:

Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

Q: Find an equation for the sphere with a) center at the origin and radius length r = b) center (2, –…

A: Let the coordinates of centre of sphere be a, b, c and radius be r.

Q: Find an equation of the sphere with center What is the intersection of this sphere with

A:

Q: Which quadric surface is this? *- ² + = 1 | Hyperboloid of One Sheet Hvnorholeid of Two Shoots

A: We are asked to identify the quadratic surface,

Q: 4² – y² +25:² = 100 %3D

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 5) Radius:…

A: topic - equation of a sphere

Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

Q: Find an equation of the sphere that passes through the point (8, 1, -5) and has center (5, 6, 3).

A: The objective of the question is determine the question of sphere .

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 7) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 5) Radius:…

A:

Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 3) Radius:…

A: To find the standard equation of sphereCenter: -1, -9, 3Radius: 4

Q: Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a…

A: The standard form of the equation of sphere is given by Where ( x0, y0, z0) is the center and r is…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 4) Radius:…

A: Equation of sphere

Q: a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find…

A:

Q: Find the center and radius of the sphere with equation (x + 3)² + (y + 1)² + (z − 1)² = 64 Center:…

A:

Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the…

A: x2 + y2 + z2 + 2x -2y - 2z = 33To Find: The center and the radius of the sphere.

Q: Find the center and radius of the sphere with equation (z + 3)² + (y + 1)² + (z+4)² = 1 Center:…

A:

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(−1,…

A: Given, Centre =C(-1,5,4) And Radius , R=4

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 9) Radius.…

A: We are given center of sphere as (-1, -7, 9) and radius be 6. We have to find standard equation of…