Find the current i through

$$

$2$

as a function of

$$

$1$

$,$

$$

$2$

$,$ and

$$

$2$

$.$

b$.$

Find

$$

$$

$1$

as a function of

$$

$1$

$,$

$$

$2$

$,$

$$

$1$

$,$ and

$$

$2$

$.$

c$.$

Find

$$

$$

$2$

as a function of

$$

$1$

$,$

$$

$2$

$,$

$$

$1$

$,$ and

$$

$2$

$.$

d$.$

Find

$$

$$

$1$

$-$

$$

$$

$2$

as a function of

$$

$1$

$,$

$$

$2$

$,$

$$

$1$

$,$ and

$$

$2$

$.$

e$.$

Write a node equation at node $1$ by summing the currents away from node $1.$

f$.$

Write a node equation at node $2$ by summing the currents away from node $2$

g$.$

Find

$$

$$

$+$

$-$

$$

$$

$-$

as a function of

$$

$1$

$,$

$$

$2$

$,$

$$

$1$

$,$

$$

$2$

$,$

$$

g

$,$ and

$$

f

$.$

h$.$

Find

$$

$$

$+$

$-$

$$

$$

$-$

if

$$

$1$

$=$

$1$

$$

V

$,$

$$

$2$

$=$

$0\mathrm{.}5$

$$

V

$,$

$$

$1$

$=$

$1$

$$

$$

$$

$,$

$$

$2$

$=$

$1$

$$

$$

$$

$,$

$$

g

$=$

$1$

$$

$$

$$

$,$ and

$$

f

$=$

$2$

$$

$$

$$

$.$