A round underwater transmission cable consists of a core

Chapter , Problem 136PE

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A round underwater transmission cable consists of a core of copper wires surrounded by nonconducting insulation. If x denotes 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 y = x2 ln (1/x). If the radius of the core is 1 cm, what insulation thickness h will allow the greatest transmission speed?

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