GATE ME 2015 Set 1 — Question 36

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NAT+2 / -0MediumApplications of IntegralsSingle Variable CalculusEngineering MathematicsLine, Surface & Volume IntegralsVector Calculus

Engineering Mathematics → Single Variable Calculus → Applications of Integrals

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Question

Consider a spatial curve in three-dimensional space given in parametric form by
x(t)=cost,y(t)=sint,z(t)=2πt,0tπ2x(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 _________
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