Let S ? R3 be the sphere of radius 1 centered on the origin. a) Prove that...

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LetS ? R3 be the sphere of radius 1 centered on the origin. a) Provethat there is at least one point of S at which the value of the x +y + z is the largest possible. b) Determine the point (s) whoseexistence was proved in the previous point, as well as thecorresponding value of x + y + z.

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