Consider a spatial curve in three-dimensional space given in parametric form by X (t) = \cos ⁡t,y (t) = \sin ⁡t,z (t) = \frac{2}{\pi }t,;;0 \leq t \leq \frac{\pi }{2} The length of the curve is ______

GATE Mechanical Engineering (ME) 2015 Shift 1 Solved Paper

Question : 46 of 65

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Consider a spatial curve in three-dimensional space given in parametric form by

X (t) = \cos ⁡t,y (t) = sin \;⁡t,z (t) = \;{2}/{π\;}t,;;0 ≤ t ≤ \;{π\;}/{2}

The length of the curve is ______

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