Find an equation for the sphere with the given center and radius. Center (0, -4, -1), radius 9 O x2 + y2 + z2 + 8y + 2z = 64 O x2 + y2 + z2 + 8y - 2z 64 O x2 + y2 + 9z2 +8y - 2z = 64 O x2 + y2 + 9z2 + 8y + 2z = 64

Q: Find the standard equation of the sphere with center C and rad C(1, v2, -5); r= 3

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Q: find the center and radius of the sphere x^2+y^2+z^2+8x-8y+6z=-16

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Q: Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through…

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Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

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Q: The equation of the sphere with center (3, 8, 1) and satisfied by the point (5, 1, – 1) is a.(x –…

A: This question is related to mensuration, we will solve it using given information.

Q: Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 32x + 16y = 1

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Q: Find an equation for the sphere with the given center and radius. Center (0,0,10), radius = 2 O A. X…

A: Topic = Geometry

Q: a) Find the distance between the points (7,0,1) and (-5,4,2). b) Find the center and radius of the…

A: According to our guidelines we can answer only three subparts ,or first question and rest can be…

Q: I just need #20

A: Given,

Q: Find the center and the radius of the sphere. x2+y2+z2+4x-5z=0

A: Comparing with standard equations of sphere,

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 equations of the sphere through the circle x + y +2 =1, 2x+ 4y+5z= 6 and touches the plane…

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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: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: Find the center and the radius of the sphere. x2+y2+z2-3x-6z=0

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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: Find the center and radius of the following sphere: x2 + 2x + y? + z2 + 4z + 1 = 5

A: The equation of the sphere is x2+2x+y2+z2+4z+1=5 To find its center and radius.

Q: Find an equation of the sphere that passes through the origin and whose center is (-10, 11, – 2).…

A: Given: Origin point : ( 0 , 0 , 0 ) Center : ( -10 , 11 , -2 )

Q: Show that the equation represents a sphere, and find its center and radius: x^2+y^2+ z^2-8x + 6y +…

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

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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 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: 1.3 Show that the following equation represents a sphere, and find its center and radius. x2 + y2 +…

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Q: Find an equation of the sphere with centre in the xz-plane and passing through the points (0, 8, 0),…

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Q: Find an equation for the sphere centered at (2, 2, –2) and passing through (2, 2, 3). 1. x² + y + z²…

A: Given center is (2,2,-2) and the point is (2,2,3)We know the equation of sphere is…

Q: Find the center and radii of the sphere 3x2 + 3y2 + 3z2 + 2y – 2z – 6 =3

A: As a first step, let's recall the standard equation for a sphere:The standard form of the equation…

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 an equation of the sphere that passes through the origin and whose center is (-6, – 4, 12). OA.…

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Q: Find the center and radius of the sphere x2 + y2 + z2 + 3x - 4z + 1 = 0.

A: The given equation is x2 + y2 + z2 + 3x - 4z + 1 = 0.   The Standard Equation for the Sphere of…

Q: Find the center and radius of the sphere (3x^2)+(3y^2)+(3z^2)-(6y)-(12z)-10=0

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Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.

Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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Q: Find the equation of the xy-trace of the sphere. (x + 2)2 + (y + 1)2 + (z − 3)2 = 25

A: The equation of the sphere: - The general equation of a sphere is (x – a)2+(y-b)2+(z-c)2=r2 if (a,…

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

A: Given :The distance between point on sphere P to A is twice the distance from P to BA-2, 5, 3 and…

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

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Q: The standard equation of the sphere that has center (1,-2,1) and passing through the origin, is…

A: To find the standard equation of the sphere that has center 1, -2, 1 and passing through the origin.…

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: Find the equation of the sphere if one of its diameters has endpoints (-5, -5, 1) and (-3, -1, 7)…

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Q: The center of the sphere x² –2x+y² +z² +2z=6 is Select one: O a. None O b. (-1,0,1) O c. (2,0,-2) O…

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Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –…

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Q: 9. Find the center and radius of the sphere given by 3x + 3y? + 3z2 = 10 + 6y + 12z.

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Q: Find an equation for the sphere centered at (1, -2, 3) containing the origin. V14 = x + y+ z 14 = x?…

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

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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: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with…

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation…

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

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

A: We will find the equation of sphere as following.

Q: find the equation of a sphere. x^2 +y^2 + z^2 +2x - 2z -2 = 0

A: see the details solution in below

Q: Find an equation of the sphere with center (-4, 2, 8) and radius What is the intersection of this…

A: Given centre -4,2,8 and radius 5 of the sphere .The equation of a sphere is given by the…