(All Steps) If x=t^2-3 t, y=t^3+2 t, z=5 t-t^2 describe C, find (a) equations for the tangent line to C at t=-3, and (b) the length of C from (4,-3,-6)
Question: If \(x=t^{2}-3 t, y=t^{3}+2 t, z=5 t-t^{2}\) describe \(C\), find (a) equations for the tangent line to \(\mathrm{C}\) at \(\mathrm{t}=-3\), and (b) the length of \(\mathrm{C}\) from \((4,-3,-6)\) to \((0,33,6)\).
Deliverable: Word Document 
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