Solved: Equation of a sphere For constants a, b, c, and d,

Chapter 11, Problem 80

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Equation of a sphere For constants a, b, c, and d, show that the equation x2 + y2 + z2 - 2ax - 2by - 2cz = d describes a sphere centered at 1a, b, c2 with radius r, where r2 = d + a2 + b2 + c2, provided d + a2 + b2 + c2 7 0. 8

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