- Find the eigenvalues of the matrix $\begin{bmatrix}2&3\\5&4\end{bmatrix}$.
- Find the eigenvalues of the matrix $\begin{bmatrix}6&2\\2&3\end{bmatrix}$.
- Find the second derivative of $f(x,y)=x^2+3xy+4y^2$.
- Find the second derivative of $f(x,y)=y\cos(x)+3x$.
- Find an equation of the tangent plane to the surface $x^2-3z^4y^3=1$ at the point $(-2,1,-1)$.
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