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r t be a vector valued function defined on the interval 1 t 2 by r t 2 t z frac 4 3 t 3

r t be a vector valued function defined on the interval 1 t 2 by r t 2 t z frac 4 3 t 3 2 j frac 1 2 t 2 t a Show that r t is smooth on its domain b Find the length of the curve C parametrized by r t Simplify your anower

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