A round underwater transmission cable consists of a core of copper wires surrounded by nonconducting insulation. If x de- notes the ratio of the radius of the core to the thickness of the insulation, it is known that the speed of the transmission signal is given by the equation v = x² In (1/x). If the radius of the core is 1 cm, what insulation thickness h will allow the greatest trans- mission speed? Insulation Core

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