Find an equation for the sphere with a) center at the origin and radius length r = b) center (2, – 3, 4) and radius length r = 4. 5.

Q: Find an equation of the sphere with center (3, -11, 6) and radius 10. Use an equation to describe…

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Q: Find the standard equation of the sphere with the given characteristi Center: (-1, -9, 7) Radius: 9…

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Q: Question 20 Given the equation -4x² + 8x - 4y² - 56y - 4z² + 32z = -312 a) Show that the given…

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Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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Q: 1. Find the equation (formula) of a sphere with radius r and center C(h, k, 1) and show that x² + y²…

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Q: Given a sphere in center-radius form, how will you get an equation tangent to only one of the…

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Q: Let G be the sphere having a diameter with endpoints (1, -9, -12) and (5, -1, 8). 1. Make an…

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Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: Part a) Convert the equation z = 3x2 + 3y2 to spherical coordinates. Part b) Describe in plain…

A: Given equation z=3x2+3y2

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: Find the equation of each sphere based on the information provided. Show your work and do not expand…

A: Let's find equation of sphere.