Other balls The closed unit ball in _3 centered at the

Chapter 12, Problem 78

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Other balls The closed unit ball in _3 centered at the origin is the set 51x, y, z2: x2 + y2 + z2 16. Describe the following alternative unit balls. a. 51x, y, z2: _ x _ + _ y _ + _ z _ 16 b. 51x, y, z2: max5 _ x _, _ y _, _ z _ 6 16, where max5a, b, c6 is the maximum value of a, b, and c.

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