[Step-by-Step] Do analytically and exactly showing all steps. A parametric curve is given by equations x=t^2-11 t+13
Question: Do analytically and exactly showing all steps.
A parametric curve is given by equations
\[\begin{aligned} &x=t^{2}-11 t+13 \\ &y=t^{3}-13 t^{2}+32 t-22 \end{aligned}\]
- Find an exact equation of the tangent line at \((-5,-2)\).
- Enter the slope of your tangent line from part (a) accurate to 3 decimal places.
Deliverable: Word Document 
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Solution: Let g(x)= \begincasesc x+13, x<2 , 37, x=2 , c x-15,
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