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Find the coordinates of the point \( (x, y, z) \) on the plane \( z=4 x+4 y+1 \) which is closest ...
Find the coordinates of the point \( (x, y, z) \) on the plane \( z=4 x+4 y+1 \) which is closest to the origin. \[ \begin{array}{l} x= \\ y= \\ z= \end{array} \]