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. Question 10 Let T(t) = (2t* - 1, 3e , 2 sin(5t)) Find the unit tangent vector 7'(t ) at the point t =

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. Question 10 Let T(t) = (2t* - 1, 3e , 2 sin(5t)) Find the unit tangent vector 7'(t ) at the point t = 0. Round to 4 decimal places. T(0)\f. Question 12 Given the vector-valued functions, u(t) = e lite #j + 3th and v(t) = -ti -3taj + 2k d a. Find dt (u(t ) . v(t ) ) d dt (u(t) . v(t) ) = d b. Evaluate dt (a(t) . v(t)) when t = 2. Write your answer in exact form. d dt (1 - v) (2) =' Question 13 ' f 3' Let t} 2

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