Given a sphere with center (4, 3, – 1) and radius 4. Find an equation of the intersection of this sphere with the xz-plane? O A. (x-4)* + (y - 3)* + (2 + 1) = y = 0 (x- 4)? + (z+ 1)? = 16, OC (x- 4)? + (z + 1)* = 7, D(x -4)? + (z+ 1) = 16, OE ( - 4)* + (y-3)' + (z+ 1² – 16, O B y = 3 y = 0 OD. y = 0 y = 3

Q: What is an equation for the largest ball centred at (0,0, 1) that can fit in the paraboloid z = 3 -…

A: To find the equation for the largest ball centered at (0, 0, 1) that can fit in the below equation…

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

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Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: Find the center and radius of the sphere x? – 6x – 8 + y? + 4y +z? – 20z = 0 OA C(3,-2,10), r = 11…

A: Recall: Equation of the sphere :         x-a2+(y-b)2+(z-c)2=r2; where a,b,c is the center and 'r' is…

Q: The distance between the centers-of the following two spheres: x²-22x+y2-58y+z?=-961,…

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Q: 2. Find the equation of the sphere with the given conditions: (a) center at (1, – 2, – 4) and its…

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Q: Given a sphere with center (9, 2, – 4) and radius 5. Find an equation of the intersection of this…

A: To find the equation of the intersection of the sphere with the xz plane.

Q: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10.…

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

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

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Q: I just need #20

A: Given,

Q: Find the equation of the xy-trace of the sphere. (x – 2)? + (y + 4)² + (z – 6)? = 72 Sketch the…

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Q: Find the center C and the radius a for the sphere 1. 3x2 + 3y2 + 3z2 + 2y - 2z = 9 2. x2 + y2 + z2 -…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the center C and the radius a for the spheres x2 + y2 + z2 + 4x - 4z = 0

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Q: Find an equation of the largest sphere that passes through the point (-1, 1,4) and is such that each…

A: Find the equation of sphere.

Q: Find an equation of the sphere that passes through the origin and whose center is (-10, 10, 5). O A.…

A: To find:-   Equation of the sphere that passes through the origin and whose center is (-10, 10, 5).

Q: Find the center and radius of the sphere: x^2+y^2+z^2-8x+2y+4z-9=0

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Q: The distance between the centers of the following two spheres: x²+10x+y²+14y+z²=-73,…

A: Given that: x2+10x+y2+14y+z2=-73      .......(1)2x2-4x+2y2+2z2+8z=-5     ........(2)

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: Consider the three-dimensional Euclidean space with coordinates x, y and z. The intersection of the…

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Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: Given a sphere with center (6, 4, – 3) and radius 5. Find an equation of the intersection of this…

A: First write the equation of sphere then satisfy the condition for xz-plane.

Q: Given a sphere with center (7,3, – 4) and radius 5. Find an equation of the intersection of this…

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Q: Find the center C and the radius a for the spheres (x + 2)2 + y2 + (z - 2)2 = 8

A: We have to find the center C and radius for the given sphere equation: x-22+y2+z-22=8 We know that…

Q: Find the center C and the radius a for the spheres x2 + y2 + z2 - 6y + 8z = 0

A: To Determine: Find the center C and the radius a for the spheres  Given: we have an equation…

Q: Let C be the intersection curve of the parabolic cylinder √2x2 = 2y and the surface 3z =√2xy. Find…

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Q: Find the point lying on the intersection of the plane x + y +z = 0 and the sphere x2 + y? + z? = 25…

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Q: The equation of the sphere with center (5,-8, 4) that touches that y-axis is OA. (x – 5)² + (y + 8)*…

A: To find the equation of a sphere with center (5,-8,4) that touches the y-axis.

Q: Which is the equation of a sphere with a center at (1,0,-2) with a volume of 36(pi)(u^3)? a.…

A: We first defined the equation of sphere and centre,volume . Using this formula we have equation (a)…

Q: Find the center C and the radius r of the sphere S: x2 + y2 + z2 + 4x + 8y – 8z =-11

A: A geometrical object which is in the shape of ball is called sphere. Outer surface of sphere is…

Q: In each part, find an equation of the sphere with center (2, −1, −3) and satisfying the given…

A: Given that: Centre of sphere = (2, -1, -3)

Q: Given a sphere with center (10, 3, – 1) and radius 5. Find an equation of the intersection of this…

A: Given. The ceter of sphere is located at  (10,3,-1) Radius is 5. Equation of XZ plane is Y = 0.

Q: The sphere, x + y² + z? – 4y + 2z – 20 = 0, has a center at which point? (0,-2,-1) (0,2,-1) (2,1,1)…

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Q: Find the center C and the radius a for the spheres (x - 1)2 + (y - 2)2 + (z + 1)2 = 103 + 2x + 4y -…

A: Standard equation of sphere is given as x-x12+y-y12+z-z12=r2, where x1,y1,z1 is center of sphere and…

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 standard equation of a sphere that has diameter with the end points given below. (3, 8,…

A: to find standard equation of sphere that has diameter with end points 3,8,-2,-1,4,10

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: Consider the Equation:  x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0 1. Show that the equation represents…

A: x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0

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

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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: Find an equation of the sphere containing all surface points P = (x, y, z)  such that the distance…

A: Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance…

Q: In the 3D coordinate system, for the quadric with euqation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10…

A: The quadric with equation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10 where a is a parameter. We need to…

Q: Find the center and radius of the sphere. 2 4x + 4y + 4z + x + y+z= 25

A: Topic = Sphere

Q: The point of the sphere with equation X x²-2x +y²-4y +z²-6z+10=0 nearest to the xz-plane is 0.

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Q: Identify the following surfaces as an elliptical paraboloid, hyperbolic paraboloid, a hyperboloid of…

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Q: Find the center and radius of the following spheres x² + y² + z² – 2x – 4y + 8z + 17 = 0 %3D

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Q: Let 11 be the surface with the equation = 2√y+1 and let 12 be the sphere with equation x²+y+z² 16x +…

A: Given data÷ Find the center and radius of the sphere   x2+y2+z2-16x+16y-4z+76=0   General form of…

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: The four figures are graphs of the quadratic surface z = x? + y2. Match each of the four graphs with…

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Q: 13–16 Show that the equation represents a sphere, and find its center and radius. 13. х2 + у? + z? —…

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