$(10$ points$)$ The element shown has $3$ linear sides and one quadratic side. Determine the five shape functions $\backslash ($ N$\_\{$i$\}($x$,$ y$)\backslash ).$ Dimensions are $\backslash (2$ a $\backslash )$ by $\backslash (2$ b $\backslash ).$ Hint: Use either method $1$ or method $3($demonstrated for the quadratic triangular element$)$ described in the class notes, which are discussed in the attached pages similar to Ch $6$ of the Cook textbook and in Handout$\_$Ch$04$supp.pdf $($Section $6\mathrm{.}11).$