Find an equation for the sphere centered at (1, -2, 3) containing the origin. V14 = x + y+ z 14 = x? + y? + z? V14 = (x – 1)? + (y + 2)² + (z – 3)² - 14 = (x – 1)? + (y+2)² + (z – 3)² | V14 = /(x – 1)2 + (y+2)² + (z – 3)²

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

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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

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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: Find an equation for the sphere with the given center and radius. Center (0,0,10), radius = 2 O A. X…

A: Topic = Geometry

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

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

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Q: Find the center and radius of the sphere: x^2+y^2+z^2-8x+2y+4z-9=0

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Q: Match the quadric surfaces to its graph. A. y + = 4+ 4x² C. 9z + 4y = 36 + 36z² B. 42 + y? + 4z² =…

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Q: Find an equation of the sphere that passes through the origin and whose center is (-10, 11, – 2).…

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A: Note: Hi! Thank you for your question. As per the guideline we can solve three subparts at a time in…

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

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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…

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Q: Given a sphere with center (10, 3, – 1) and radius 5. Find an equation of the intersection of this…

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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 intersection of the two planes with equations 3(x - 1) + 2y + (z + 1) = 0 and (x - 1) + 5y…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find parametrizations The portion of the sphere x2 + y2 + z2 = 36 between the planes z =-3 and z =…

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Q: 4) The solid lies between planes perpendicular to the x-axis at x = 0 and x = 6. The cross sections…

A: Given: y=-5x  to the parabola y=5xAs we can see in the diagram is given below.

Q: The center of the sphere x² –2x+y² +z² +2z=6 is Select one: O a. None O b. (-1,0,1) O c. (2,0,-2) O…

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the xz-plane. 2. Sketch the portion of the…

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Q: This exercise refers to the hyperbolic paraboloid z = y? - x². (a) Find an equation of the…

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Q: 11. The equation of a sphere with center at (-3, 2, 4) and of radius 6 units is? a. x² + y² + z²…

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A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Find the center and the radius of the sphere. x^2+y^2+z^2-6x+3z=0

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Q: The point of the sphere with equation X x²-2x +y²-4y +z²-6z+10=0 nearest to the xz-plane is 0.

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

A: We will find the equation of sphere as following.

Q: Find an equation for the sphere with the given center and radius. Center (0, -4, -1), radius 9 O x2…

A: In this question we have to find the equation of sphere.