Find the center and the radius of the sphere. x2+y2+z2+3x+3z=

Q: Find the center, vertices, foci, and sketch from x -4y2 +6x +16y -11 = 0.

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Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: The general equation of the sphere is given as x-x02+y-y02+z-z02=r2. Here, the center of the sphere…

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: Find the center and radius of a sphere with the equation: 8x + 4z = 1 − 2x^2 + 20y − 2y^2 − 2z^2.

A: Given the equation of the sphere 8x+4z=1-2x2+20y-2y2-2z2

Q: Q2 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 circle x2 + y2 - 10x + 4y + 20 = 0.

A: x2+y2-10x+4y+20=0 On simplification, we get…

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 (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

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: find the center and the length of a radius of each circle. x2 + y2 - 10x + 2y + 1 = 0

A: Consider the given equation x2+y2-10x+2y+1=0. Note that, for equation of circle x2+y2+2gx+2fy+c=0,…

Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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

A: On simplification, we get

Q: Complete the square to write the following equation as standard equation of a sphere and find center…

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Q: Find the center and the radius of the sphere. x2 +y? +z? +5x + 6z = 0

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

A: Comparing with standard equations of sphere,

Q: Write the equation of the sphere in standard form. 9x? + 9y? + 9z2 = 36x – 12y – 24

A: The givne equation of the sphere is 9x2+9y2+9z2=36x-12y-24

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

A: Equation of sphere with Centre (a,b,c) and Radius 'r' can be written as: x-a2+(y-b)2+(z-c)2=r2 Using…

Q: Find the vertex, force, and directrix of the parabola x^2=7y

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Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

Q: . 2x2 +2y? + 2z2 = 8x- 24z +1

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Q: find the center and the length of a radius of each circle. x2 + y2 + 6x + 10y + 18 = 0

A: Standard equation of circle in center and radius form is x-h2+y-k2=r2 Where h,k is coordinate of…

Q: Complete the square to find the center and radius: x^2+y^^2+8x+8y=0

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

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Q: c) Find the center and radius of the sphere whose equation is x² + y² + z² + 10x + 4y + 2z – 19 = 0

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

A: 9x2 + 9y2 + 9z2 − 6x + 18y + 1 = 0

Q: Show that the equation represents a sphere, and find its center and radius: x²+y² + z² – 8x + 6y +…

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Q: x² +y? + z² + 8x – y + 5z = 2

A: solution

Q: Q4/ Find the center and the radius of the circle x² + y2 + 4x - 6y – 3 = 0

A: Find the centre and radius

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

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Q: 3. Find the center and radius of the sphere having the equation: x²-4x+y² +8y+z² – 2z=4

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Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: For the sphere with equation (x - 1) + (y + 2) + (z + 4) = 36, find a) the center. b) the length of…

A: The given sphere equation is x-12+y+22+z+42=36.

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

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Q: bétween the spheres and 2- + Y 4 if the dênsity at any point is equal to the square of its distance…

A: Given: The solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4  The…

Q: Find the radius and centre of the sphere x + y + – 4x + 2y-6z-11=0.

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

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Q: Find the center of the circle x² + y² - 8x = 2. Select one: O a. (4,0) O b. (0,4) O c. (0-4) O d.…

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

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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 ends of the latus rectum, axis of symmetry of x2+20y=0

A: Given  x2+20y=0 Find the ends of lactus rectum and axis of symmetry.

Q: Find an equation of the sphere that passes through the origin and whose center is (-6, – 3, – 2). O…

A: We know that,  General equation of sphere is given by, (x-a)²+(y-b)²+(z-c)²= R² where, R is the…

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: Describe and sketch the graph of the given equation in R³, If it is a sphere, find its center and…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Find the center and radius of the circle x2+y2-2x-18y+1=0

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