Introduction to Functions of Several Variables
Fundamental Set of Solutions

Draw at least 2 contour lines for the following

(1)   \begin{equation*}z =x^{2} -y^{2} \end{equation*}

(2)   \begin{equation*}z =x^{2}y \end{equation*}

(3)   \begin{equation*}z =\arcsin \left (xy\right ) \end{equation*}

(4)   \begin{equation*}z =\log \left (x^{2} +y\right ) \end{equation*}

(5)   \begin{equation*}w =x^{2} +y^{2} -z^{2} \end{equation*}

(6)   \begin{equation*}w =x +y +z \end{equation*}

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