C Use the theorem given below to find the curvature of r(t) = t'j + tk....

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C Use the theorem given below to find the curvature of r(t) = t'j + tk. k(t) = Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t² + t, t²t, 2t³) v(t) a(t) 11 11 Theorem: The curvature of the curve given by the vector function r is x(t) |v(t) = = Ir'(t) x r"(t)| Ir' (t) 1³ C Use the theorem given below to find the curvature of r(t) = t'j + tk. k(t) = Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t² + t, t²t, 2t³) v(t) a(t) 11 11 Theorem: The curvature of the curve given by the vector function r is x(t) |v(t) = = Ir'(t) x r"(t)| Ir' (t) 1³