Find the center and radius of the sphere x? - 10x – 10 +y? + 14y + z² – &z = 0 O A C (5,7, -4), r = 10 O B. C(-10,14,- 8), r = 10 OC.C(-5,7,4),r = 10 O D.C(5,- 7,4), r = 10 O E. C(5,-7,4), r = 100

Q: 13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of…

A: Topic = Geometry

Q: Find the point on the sphere (x - 1)² +y² + (z + 9)² = 9 nearest to a. the xy-plane. b. the point…

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Q: The set of all points equidistant from the point (0, – 3, 0) and the plane y = 3 are represented by…

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Q: Find the standard equation of the sphere. (Let  r = 9 and C = (3, 8, 9).)

A: equation of sphere where center ( a, b ,c ) radius r

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 center and radius of the sphere x? – 4x – 1+y? + 20y + z? – 8z = 0 O A C (2,10, -4),r = 11…

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Q: Fin He ara at tHe surface af the portion oF Hae Plane 2= 5-2X -9y

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Q: I just need #20

A: Given,

Q: Q1) Find the centers and radius of the spheres for: (x - V2) + (y- v2) + (z + V2) = 2 * (+ })' • (-…

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Q: Find the equations of planes that just touch the sphere (x – 5)? + (y – 5)² + (z – 2)² = 4 and are…

A: We have given the equation This is a sphere of radius 2, and with a center at (5, 5, 2).

Q: Quèstion 5 Find the center and radius of the sphere x? – 4x – 6+ y? + 18y + z? - 6z = 0 O A. C (2,-…

A: We have to find

Q: 5.4. F(х, у, 2) 2³), M is the outer surface of the sphere x² + y² + z² = a². %3D

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Q: hoose the correct equation for a sphere centered at (1, –2, 1) with radius 7. O (x + 1)² + (y + 2)²…

A: Given that centre is (1,-2,1) and redius (r)=7 . And we find equations of sphere.     Here i…

Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4nearest the point (0, 7, -5).

A: The given sphere is x2 + (y - 3)2 + (z + 5)2 = 4 and the point (0, 7, -5). Here, the center of the…

Q: Find the center and radius of the sphere. x + y2 + z2 – 16y + 6z + 9 = 0 +z° - center (х, у, 2) %3…

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Q: Find the equations of planes that just touch the sphere (x- 2) + (y – 4)² + (z – 3)² = 16 and are…

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Q: |Consider the sphere (x – 5)² + (y – 4)² + (z – 3)² = 25 (a) Does the sphere intersect each of the…

A: Sphere

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1   ;   point (2,1,2)

Q: Quèstion 2 Find the center and radius of the sphere x? – 10x – 3+y? + 8y +z? - 20z = 0 OA C(5,-…

A: We will find the center and the radius of the sphere is as following.

Q: 12 Which equetilon describes a crcle with center (4, -7) and radius 97 A (x+4) +(y-7) -81 b. (x-4)+y…

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Q: Z • W Y. T. U. 10. What is the intersection of the two planes? 11. Are points T, Z, U, and W…

A: To answer the given questions using the given figure.

Q: Find an equation of the sphere with center (-5, 4, 6) and radius 8. (x + 5)² + (y – 4)² + (z – 6)? =…

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Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: c) [. The intersection of the sphere B and the xz-plane is (x - 2)² + (z + 1)² 2)² + (z + 1)² = 9.…

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Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4 nearest a. the xy-plane. b. the point (0,…

A: Consider the given equation of the sphere.

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Q: Find the center and radius of the sphere. x² + y² + z? + 4y – 14z – 28 = 0 %3D center (x, y, z)…

A: We have to find the center and radius of the sphere…

Q: Try to visualize the set of all points (x, y, z)in a coordinate space that are twice as far from the…

A: a) Suppose the distance between two points  A(x, y, z)  and the origin   Plug into the distance…

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: Find the center and radius of the sphere. x² + y² + z² - 16y = 0 center (х, у, г) 3D radius

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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 (x, y, z) coordinates of the points P where the line I(t) = (x (t),y(t),z(t)) = (2 + 3t, 1…

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

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Q: Find the center and radius of sphere x^2+y^2+z^2-20z =0.

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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: • What is the equation of the sphere inscribed in the box bounded by the planes r = 4, y = 4 and 2=…

A: According to the company guidelines only first question will be answered , post the second question…

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: Dd1/Assignmer 100% 1.3 Show that the following equation represents a sphere, and find its center and…

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Q: Find the center and radius of the sphere x? - 16x – 7+y? + 10y + z² – 4z = 0 OA C(8,- 5,2), r = 10 O…

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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: The equation of the sphere with center (7,-3, 1) that touches that y-axis is OA. :-7° + (y +3)* +…

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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: How to find the maximum and minimum points on the sphere?

A: Maximum and Minimum points will occur where derivative will be zero for teh function. In case of…

Q: The plane can perpendicular to the a) x-axis at (3, 0, 0) b) z-axis at (0, 0, -2) c) y-axis at (0,…

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Q: Find the center and radius of the sphere x2 – 12x – 4 +y? + 4y + z? – 20z = 0 ОА С (6, - 2,10), r…

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Q: Given a sphere with center (4, 3, – 1) and radius 4. Find an equation of the intersection of this…

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

Q: The center of the sphere whose one of its diameters has end points P;(1,3,–1) and P2(2,–2,1) is…

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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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Q: Find the point on the sphere x + (y + 3)? + (z+3)? = 4 nearest to a. the xy-plane. b. the point (0,…

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