Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 8) Radius: 8

Q: Find the center and radius of the sphere x? + y? + z? - 6y + 8z = 0 Find an equation of the sphere…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

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

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Q: Practice Another Find the standard equation of the sphere with the given characteristics. Center:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A: Given:Center : (-1,-2,9)Radius: 7We will find the equation of the sphere

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

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

A: Equation of the sphere

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

A: Given endpoints of diameter ::

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: (a) , Find an equation of the sphere that passes through the point (-3,2,-1) and centered at the…

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

A: Given that End points of diameter (2,9,13),(2,-7,-6)

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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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: -9 = -y²- x2

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: Find the centre and radius of the sphere determined by the equation x² + y? +(: -1 = 4

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Q: How do you write an equation of a sphere with a given center and radius?

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

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Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] 3x2 + 3y2 +…

A: Given, equation is, 3x2+3y2+3z2+6x-6y=3.   The objective is to find the radius and center of sphere.…

Q: 2 2 3D1 30 95

A: The solution are next step..

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: Find the standard equation of the sphere that has the points (5, −2, 3) and                  (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: Write the equation for a sphere centered at the point (7, – 1, – 5) and has the point (6, – 8, – 9).

A: *** This is the problem related to Analytical geometry 3D and we are advanced math expert and have…

Q: Find the standard equation of the sphere that has the point (5, 6, 3) and (– 2, - 5, - 1) as…

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Q: Describe and sketch the surface in R3 represented by the equation x+y = 2.

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

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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 center and radius of the sphere with equation (r – 1)? + (y + 4)² + (z+ 6)² = 16 %3D…

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

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Q: Write the equation for a sphere centered at the point (6, 1, - 3) and has the point (10, - 2, -8).

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Q: Find the standard equation of the sphere that has the point (-3, - 6, 0) and (3, 4, 5) as endpoints…

A: Given : The point (-3, -6, 0) and (3, 4, 5) as endpoints of a diameter of sphere.

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

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Q: Determine the center-radius Form of the equation of the sphere whose diameter has endpoints at (2,…

A: The first question has been solved as per the request of the student.     The center radius form of…

Q: Find the center and radius of the sphere with equation (æ + 4)? + (y – 4)² + (z + 3)? = 49 Center:…

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Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: Find the equation of the sphere passing through P(- 4, 1, 4) and Q(6, - 3, 3) with its center at the…

A: Sphere equation

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

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Q: Determine whether the following equation represents a sphere.

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

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

A: Let's find.

Q: Describe and sketch the surface in ℝ3 represented by the equation x + y = 2.

A: The graph is a vertical plane ( that is, perpendicular to the xy-plane) that intersects    the…

Q: Find the centre and radius of the sphere determined by the equation x'+y* +(:-2)° =: 25

A: Given that sphere equation is - X2 + Y2 + (Z - 2)2 = 25 And we find radius and centre of the sphere.…

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

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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:…

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Q: Find the standard equation of the sphere with center (-2, 5, -3), and radius 5.

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics Endpoints of a diameter: (0,…

A: Given: Endpoints of a diameter of sphere: a1, b1, c1 ≡(0, 0, 4) and a2, b2, c2 ≡(4, 6, 0)

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…