Find the solution with the given initial condition. r r (t) = (e', sin (t), cos...

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Find the solution with the given initial condition. r" r (t) = (e', sin (t), cos (t)), r(0) = (1,0,1), r'(0) = (0,3,3) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Compute the length of the curve r(t) = - (2t + 3,6t 6, t) over the interval 0 t 2. (Use decimal notation. Give your answer to three decimal places.) S = Find the solution with the given initial condition. r" r (t) = (e', sin (t), cos (t)), r(0) = (1,0,1), r'(0) = (0,3,3) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Compute the length of the curve r(t) = - (2t + 3,6t 6, t) over the interval 0 t 2. (Use decimal notation. Give your answer to three decimal places.) S =