Given the cylinder defined by (x^{2}+y^{2}=4), find the path of shortest length connecting the given points. a.

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Given the cylinder defined by \(x^{2}+y^{2}=4\), find the path of shortest length connecting the given points.

a. \((2,0,0)\) and \((0,2,5)\).

b. \((2,0,0)\) and \((2,0,5)\).

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