Find an equation of the sphere with center (-5, 2, 7) and radius 7. (x +5)2 + (y – 2)² + (z – 7)² = 49 - What is the intersection of this sphere with the yz-plane? 0,2,7 , X = 0

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

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Q: Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through…

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Q: What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0,…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find equations of the spheres with center (2, -5, 4) that touch the following planes. (a) xy-plane…

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Q: In each part, find an equation of the sphere with center (5, -6, –3) and satisfying the given…

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Q: Find parametric equations for the line of intersection of the planes x + 2y + 3z = 4 and 5x + 6y +…

A: Given: x+2y+3z=4   and  5x+6y+7z=8To obtain the parrametric…

Q: Find equations of the spheres with center (2, −3, 6) that touch (a) the xy-plane, (b) the yzplane,…

A: To find the equations of the spheres with center (2, −3, 6) that touch (a) the xy-plane, (b) the…

Q: Find an equation of the plane that contains the intersection points of the ellipsoid 9x? + 4y² + 9z²…

A: GIVEN : Ellipsoid 9x2 +4y2 + 9z2 = 36

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

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Q: Determine the equation of the plane containing the points (3, 1, 4) and (2,7, 1) and is perpen-…

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Q: a) Find the distance between the points (7,0,1) and (-5,4,2). b) Find the center and radius of the…

A: According to our guidelines we can answer only three subparts ,or first question and rest can be…

Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x - 5y…

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Q: Determine the parametric equations of the curve of of the ellipsoid 4x² + y2 + 4z2 = 4 and the…

A: Solution: Given equation:ellipsoid: 4x2+y2+4z2=4; and half−cone: y2=x2+2z2 To find: parametric…

Q: Determine the center-radius form of the equation of a sphere which circumscribes two externally…

A: If center of sphere is (u,v,w) and radius is R then equation of sphere can be written as…

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 an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: Find an equation of the sphere with center (1, -8, 3) and radius 5. (x – r- 1)² + (y + 8)² + (z –…

A: Given: Center of the sphere (1, -8, 3) and radius of the sphere is 5. To describe: The intersection…

Q: uestion 4 Find an equation of the sphere that passes through the origin and whose center is (-6, –…

A: Given equation of sphere passes through origin and centre at (-6,-7,6) Now we have to find the…

Q: Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to…

A: Given problem:- Determine the general equation of the plane π passing through the point P(1, -4,-5)…

Q: In each part, find an equation of the sphere with center (1, – 7, –8) and satisfying the given…

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Q: Find the equation of the sphere with center at (-3, 2, 4)and of radius 6. A (x-3)2+ (y – 2) ²+ (z-…

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Q: 9. Write the equation of the quadric surface in standard form then identify the quadric surface…

A: The standard form of quadric surface : Ax2+By2+Cz2+Dxy+Exz+Fyz+Gx+Hy+Iz+J=0…

Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…

A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…

Q: 5. Find an equation of the sphere with center (4, −8, 4) and radius 5. Use an equation to describe…

A: The equation of a sphere is given by the equation: where a,b,c are the coordinates of the center…

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: Calculate the shortest distance between the point P = (3, 2, 2) and the plane 5x+y-2z = 3. (Do not…

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Q: Find the equation of spheres passing through the circle x+y+z'-6x-2z+5 =0, y = 0 and touching the…

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Q: Find an equation of the sphere with center (1, –8, 3) and radius 5. Use an equation to describe its…

A: Given, The center of a sphere is (1,-8, 3) and the radius is 5.

Q: Find an equation of the largest sphere contained in the cube determined by the planes x = 0, x = 8,…

A: given the planes:

Q: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the…

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Q: What is the equation of the sphere when it's centered at P tangent to the plane The line went…

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Q: Find an equation of the sphere with center (1, -11, 8) and radius 10. Use an equation to describe…

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Q: In each part, find an equation of the sphere with center (5, –8, –4) and satisfying the given…

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Q: Determine the center and radius of the sphere 2x2+2y2+2z2-12x-24y-36z=0

A: We have to find center and radius

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: Find the equation of the xy-trace of the sphere. (x + 2)2 + (y + 1)2 + (z − 3)2 = 25

A: The equation of the sphere: - The general equation of a sphere is (x – a)2+(y-b)2+(z-c)2=r2 if (a,…

Q: Part 1 of 8 By re-ordering the sphere equation, we have z- 100 - - y, We can then parameterize this…

A: We have to parameterize the given equation z2 = 100 - x2 - y2.

Q: 2 Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is…

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Q: Find an equation of the plane parallel to the liner= and containing the points (2, 2,-1) and (1, 0,…

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Q: Find an equation of the plane. The plane through the point  (5, −5, −2)  and parallel to the plane…

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Q: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with…

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation…

Q: A line with parametric equations r = 10 + 2s, y = 5 + 5,2 = 2, sER, intersects a sphere with the…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

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Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 4, 4) is twice…

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