Consider the 3-sphere in R given by all points (w, x, y, z) satisfying w +...
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Consider the 3-sphere in R¹ given by all points (w, x, y, z) satisfying w² + x² + y² + z² + 4x - 3y + 6z = 1 (a) By completing the square, determine the center and radius of the sphere. Leave your answer fully simplified and exact (b) Determine the volume of the sphere. Leave your answer fully simplified and exact Consider the 3-sphere in R¹ given by all points (w, x, y, z) satisfying w² + x² + y² + z² + 4x - 3y + 6z = 1 (a) By completing the square, determine the center and radius of the sphere. Leave your answer fully simplified and exact (b) Determine the volume of the sphere. Leave your answer fully simplified and exact
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a By completing the square the center and radius of the sphere can be expressed as Center 23 32 32 R... View the full answer
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