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Consider a space curve r(t) = Rcos Nt (2TN) i i+ Rsin (2Nt ); + tk, 0 t h, h where R represents the

Consider a space curve r(t) = Rcos Nt (2TN) i i+ Rsin (2Nt ); + tk, 0 t h, h where R represents the radius of helix, h represents the height (distance between two consecutive turns) and the helix completes N turns. Derive the formula for the arc length of this helix.

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