d$.$ Let $G_1$ be a formal grammar with non$-$terminal symbols $S,$ and $P,$ terminal symbols $\text{'}f\text{'},\text{'}x\text{'},",,\text{'}(\text{'}$

and $\text{'}\text{'})\text{'},$ start symbol S$,$ and the following production rules:

$Sf(P)$

$Px$

$PP,x$

$Px,P$

i$.$ Is $G_1$ context$-$free? Why $($not$)?$

ii$.$ Describe the language defined by $G_1$ in English.

iii. Give a left$-$most derivation for the sentence $f(x,x,v)$ according to $G_1$

iv$.-$ Use $f(x,x)$ as an example to explain why $G_1$ is amuguous or otherwise.