- Start by sharing with your group which of the 5 approaches to tangent lines was the most convincing to you. Compare your answers as to which of the 5 methods you would have used for each of the given functions.
- Give an equation of the tangent plane to the surface $xy^2-z^3=13$ at $(3,2,-1)$.
- Give an equation of the tangent plane to the surface $z=xy^2+4x$ at $(3,-2)$.
- Find the eigenvalues of the matrix $\begin{bmatrix}2&3\\5&4\end{bmatrix}$.
- Find the eigenvalues of the matrix $\begin{bmatrix}6&2\\2&3\end{bmatrix}$.
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