\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Suppose $f(t)$ is a differentiable function of one variable,
and $f(1)=A$, $f'(1)=B$, and $f''(1)=C$. Define $F(x,y,z)$ with this
equation:
$F(x,y,z)=f(xz^2-y^3).$

\medskip

\noindent a) Compute $F(1,2,3)$ in terms of the information supplied
and any needed constants.

\medskip

\noindent b) Compute $\displaystyle {{\partial F}\over {\partial
x}}(1,2,3)$ in terms of the information supplied and any needed
constants.

\medskip

\noindent c) Compute $\displaystyle {{\partial F}\over {\partial
z}}(1,2,3)$ in terms of the information supplied and any needed
constants.

\medskip

\noindent d) Compute $\displaystyle {{\partial^2 F}\over {\partial
z^2}}(1,2,3)$ in terms of the information supplied and any needed
constants.

\medskip

\noindent e) Compute $\displaystyle {{\partial^2 F}\over {\partial x
\partial z}}(1,2,3)$ in terms of the information supplied and any
needed constants.




\vfil\eject\end