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Find the length of the curve r (t) = +3/2i+ 2tk for 0 Find the length of the curve r (t) t3/2i -F 2tk for

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Find the length of the curve r (t) = +3/2i+ 2tk for 0

Find the length of the curve r (t) t3/2i -F 2tk for 0 < t < 1 Solution. The length is 1 1 + 2dt Ir' (t)ldt L 1 9 _t + 4dt 4 3 2 _ (t + 16/9)3/2 1 2 3 1 t 16/9dt (1 -F 16/9)3/2 (16/9)3/2

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