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A parabolic cable is held between two supports at the same...

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Calculus
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A parabolic cable is held between two supports at the same level. The horizontal span between the supports is L. The sag at the mid-span is h. The equation of the parabola is \[{\text{y}} = 4{\text{h}}\left( {\frac{{{{\text{x}}^2}}}{{{{\text{L}}^2}}}} \right)\]  , where x is the horizontal coordinate and y is the vertical coordinate with the origin at the centre of the cable. The expression for the total length of the cable is

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Correct Answer: Option D
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