Find the center and radius of the sphere x? – 6x – 10+y? + 10y +z? – 20z = 0 OA C(-3,5,10), r = 10 ОВ. С-6,10, - 20), r %3D 10 ОС С 3,- 5, 10), r %3 144 OD.C(3,5,–10), r = 12 ОЕ С(3,- 5, 10), r%3D 12

Q: find the center and the radius of the sphere x^2+y^2+z^2+2x-5z=0

A: Equation of the sphere is  (x-a)² + ( y-b)2+ (z-c)2 = r2  Where (a,b,c) are the centre and r be the…

Q: Find the surface area of the paraboloid z= 1 - (x2 + y?) that lies between the sphere x? + y? + z² =…

A: Given the region

Q: If a parametric surface given by r₁ (u, v) = f(u, v)i + g(u, v)j + h(u, v)k and -2 ≤ u ≤ 2, -3 ≤ v ≤…

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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: 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: Find the center and radius of the sphere x? - 10x – 10 +y? + 14y + z² – &z = 0 O A C (5,7, -4), r =…

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Q: Find the center and radius of each sphere. Sphere: x + y + z? – 10x – 4y + 10z - Center: Radius:…

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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: Suppose the temperature at the point (x, y, z) on the sphere x2 + y2 + ?2 = 16 is T= 800xy2z3 .…

A: Solution is given below:

Q: I just need #20

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Q: Compute the surface area of the portion of the hyperboloid x² + y? -? = 64 between z = 7 and z = 8.

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Q: Determine whether the statement is true or false. If D is the disk given by x2 + y2 s 49, then 49 x2…

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Q: Evaluate [[[(x2 + y² +z?)2 dV, where 2 is the solid hemisphere (half of the sphere) enclosed by x +…

A: Apply the spherical coordinate to find the volume integral, x=ρsinφcosθ ; y=ρsinφsinθ ; z=ρcosφ And,…

Q: Find the center C and the radius r of the sphere S :x2 +y? + z2 - 2x 4y + 4z = 16 O C (2, 4, -4) and…

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Q: Find the center C and the radius a for the spheres 2x2 + 2y2 + 2z2 + x + y + z = 9

A: General equation of a sphere, x2+y2+z2+2ux+2vy+2wz+d=0 Centre of sphere = -u, -v, -w Radius of…

Q: The equation of the sphere with center (2,-3, 10) that touches that y-axis is OA (x- 2)° + (y +3)* +…

A: Solution is given below:

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: 1. Find the area of the portion of the plane Зх — Зу + 2 — 12 that lies inside the cylinder y? + 22…

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Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

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Q: Evaluate (image) over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 }

A: Given integral is ∭x2+y2+z2xyzdxdydz over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 } Change…

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: Find the center C and the radius a for the spheres x2 + y2 + z2 - 4x + 6y - 10z = 11

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Q: The portion of the sphere x² + y² + z² = 25 inside the cylinder x2 + y² = 9

A: Given: The portion of the sphere x2+y2+z2=25inside the cylinder x2+y2=9 To find the area of the…

Q: Q3) Find the centers and radius of the spheres in x? + y? + z? + 4x - 4z = 0 x? + y? + z? - 6y + 8z…

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Q: Find the area of the cap cut from the top of the sphere x2 + y2 + z2 = 1 by the plane z = sqrt(2)/2.

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Q: Consider a sphere E with center at the origin and radius equal to 1, following the Beltrami-Klein…

A: Substitute the parametric coordinates of the line in the equation of sphere and solve to get the…

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 area of the part of the sphere x2 + y? + z² = 4z that lies inside the paraboloid z = x2 +…

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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: 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: 4 Assuming that the curve ris thex + y +z = 0 intersection of the plane and the sphere , then the…

A: As per the question we are given a closed curve Γ , defined as the intersection of the plane x+y+z =…

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: 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: 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: Evaluate fff(x +y +:' dV, where a is the solid hemisphere (half of the sphere) enclosed by x +y+ =1…

A: Here in the given question, find the integration of the given function:∭Dx2+y2+z232dVWhere Ω is the…

Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: Evaluate [[[(x² + y² +=?)2 dV, where 2 is the solid hemisphere (half of the Ω sphere) enclosed by x…

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

A:

Q: Evaluate [[[(x + y² +=?)? dV, where 2 is the solid hemisphere (half of the sphere) enclosed by x? +…

A: Solved below...

Q: Evaluate (xr + y² + =³)? dV, where 2 is the solid hemisphere (half of the Ω sphere) enclosed by x +y…

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Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…

A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

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 radius of the sphere x2+y2+z2+2x-2z-14=0 is r= (Round your answer correct to three decimal…

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Q: Find the point(s) of intersection of the line l : ¯r(t) = ⟨−4, 3, 4⟩+ t⟨−5, 3, 4⟩ and the unit…

A: Solved below

Q: Let B be the ball with center at the origin and radius 1 SS $3(x² +y? + z²)dV = 16 12m 24m :5

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