[See Steps] Suppose t represents time (in seconds), x represents position (in feet), v represents velocity (in feet/second), a represents acceleration (in


Question: Suppose \(t\) represents time (in seconds), \(x\) represents position (in feet), v represents velocity (in feet/second), a represents acceleration (in feet/second 2 and it is known that \(r(4)=<5,4,-9\rangle, \mathrm{v}(4)=<-1,3,-1\rangle\), and \(\mathrm{a}(4)=<-2,4,1>\mathrm{At}\) \(t=4\), find (a) the unit tangent vector, (b) the principal unit normal vector, (c) the unit binomial vector, (d) speed, and (e) an equation for the osculating plane. Leave your answers in radical form. Do not use decimal approximations.

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