(i) Find the distance between the sphere (x-4)2 + (y - 4) 2 + (-5) =...

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(i) Find the distance between the sphere (x-4)2 + (y - 4) 2 + (-5) = 1 and the plane x + y + z = 1. (ii) Graph the curve (t) (cost, sin t, cos(2t)), for 0 (i) Find the distance between the sphere (x-4)2 + (y - 4) 2 + (-5) = 1 and the plane x + y + z = 1. (ii) Graph the curve (t) (cost, sin t, cos(2t)), for 0