Find the center and radius of the sphere x? + y? + z? - 6y + 8z = 0 Find an equation of the sphere with center (-2,4,7) and radius 4,/3

Q: Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find…

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Q: y? What is the length of the transverse axis of the hyperbola 25 |3D 64 O 8 units 16 units O 5 units…

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Q: 5. Show that the equation represents a sphere, and find its center and radius: x²+y? + z2 – 8x – 10y…

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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: Find an equation of the sphere with center (3,0,2) and passin Skecth the sphere. 10 -10 -10 -s 10 y…

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Q: What is the length of the transverse axis of the hyperbola 1? - 25 64 O 16 units O 10 units O 8…

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Q: 1. Find the center and radius of the given equation of the sphere. x + y +z´ - 4x+ 6z+12=0

A: Given: The equation of sphere is x2+y2+z2-4x+6z+12=0.

Q: What is the directrix of the parabola? (x + 3)² = 8 (y – 1) y = 3 O y = 2 O y = 1 O y = -1

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Q: A hyperboloid of two sheets Graph the surface defined by the equation - 16x? – 4y? + z? + 64x – 80 =…

A: Given: A hyperboloid of two sheets:  – 16 x 2 – 4 y  2 + z 2 + 64 x – 80 = 0.   To sketch: The graph…

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: a) [ ] Show that the equation 4x8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its…

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Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

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Q: The graph of x2+y2+z2-14y=0 is a sphere. what are the center and radius of the sphere?

A: Given    Equation of sphere  x2+y2+z2-14y=0To calculate:-     Center  and  radius  of the sphere.

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A: Given: To Find: Which of the following option is correct:a. x-h2a2-y-k2b2=1b. y-k2a2-x-h2b2=1

Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

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: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: Find the center and radius of the sphere with equation (x - 6) + (y + 6) + (z + 1) = 49 Center:…

A: The given sphere equation Compare with standard equation of the sphere To find out the centre and…

Q: Find an equation of the sphere with center (1, –11, 8) and radius 10.

A: Center of sphere=1,-11,8radius of sphere , r=10Sphere has 3-dimensions ,hence equation of sphere…

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: Complete the square to write the equation of the sphere in standard form. Find the center and…

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Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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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: What is the directrix of the parabola? (z+3) =8 (y-1) O y= 3 O y=2 O y= 1 o y=-1

A: If General equation of parabola :  y = a ( x - h ) 2 + k  Then directrix y = k - ( 1/4a )

Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

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Q: 3 (a)Complete the square to write the equation of the sphere in standard form. Find the center and…

A: As you does not specify particular question and provided multiple question so I am providing Answer…

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

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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: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has…

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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 equation of the sphere passing through P(-6, 5, 6) and Q(2, - 1, 5) with its center at the…

A: Given that, P(-6,5,6) and Q(2,-1,5). Obtain the equation of the mid point of PQ.…

Q: (a) ) Find an equation of the sphere that passes through the point (1, -2,0) and centered at the…

A: According to Bartleby guidelines, we are supposed to do only one question. if you want more to be…

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

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Q: Find the point on the ellipse x? + 4y? + 2xy = 12 with the greatest x-coordinate. (Use decimal…

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Q: a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

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Q: What is the second coordinate of the center of the sphere of the equation below?…

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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: A surface in space is defined by the equation x2 – y? + z2 + 5 = 0. Which one of these is true? The…

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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: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

A: Given

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: c) Find the center and radius of the sphere whose equation is x² + y? + z? + 10x + 4y + 2z - 19 = 0

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Q: Complete the square to write the equation of the sphere in standard form. x² + y² + z? + 9x - 2y +…

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Q: The surface of equation – +- 1 is: 16 A sphere O A cone O An ellipsoid || + 이닙

A: We can explain it as below using the concept of three dimensional geometry.

Q: Find the equation of the sphere passing through P(- 8, 7, 8) and Q(4, – 1, 7) with its center at the…

A: If the center of the sphere has coordinates h,k,l and radius r, then the equation of the sphere is…

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…

Q: The equation x +4y² = 4 in three-dimensional space is an equation of which surface? O Ellipse O…

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