20180314

• I-Learn, Problem Set, Class Pictures

1. Give an equation of the tangent plane to the surface $xy^2-z^3=13$ at $(3,2,-1)$.
2. Give an equation of the tangent plane to the surface $z=xy^2+4x$ at $(3,-2)$.
3. Find the eigenvalues of the matrix $\begin{bmatrix}2&1\\1&2\end{bmatrix}$.
4. Find the eigenvalues of the matrix $\begin{bmatrix}3&2\\4&5\end{bmatrix}$.
5. Find the second derivative of $f(x,y)=x^2+3xy+4y^2$.
6. Find the second derivative of $f(x,y)=y\cos(x)+3x$.

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• Sep24, Oct, Nov, Dec