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4. Find the position function r(t) that satisfies the conditions that the velocity is 5(t) = ( Vt, cos(nt), = ) and the position at

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4. Find the position function r(t) that satisfies the conditions that the velocity is 5(t) = ( Vt, cos(nt), = ) and the position at time t = 1 is r(1) = (2, 3, 4). 5. For the function r(t) = (2 sin(2t), 3 cos(3t), sin(t)), find an equation of the line tangent to the curve at t = 7/2. (Remember that you can use a vector equation or parametric equations.)

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