Let$$s play a fun game with double integrals. Let R be the region enclosed by $=0,=$

$2,=2$ and $=1.$ Also, let $1$ and $2$ be the subregions of R in the first and second

quadrants, respectively. Suppose $$ is continuous on R and

$3(,)$

$2$

$(,)$

$1$

$=2(,)$

$$

$$

$$

$4(,)$

$1$

$+2(,)$

$2$

$=7$

Given all that find

$(,)$

$$

$$