Provide the $IUPAC$ name and structural formula for the carboxylic acids listed in the table below.

(A) The table provides the common names,structural formulas,and $IUPAC$ names for various carboxylic acids:
| Common Name | Structural Formula | $IUPAC$ Name |
| :--- | :--- | :--- |
| $(i)$ Butyric acid | $CH_3CH_2CH_2COOH$ | Butanoic acid |
| $(ii)$ Isobutyric acid | $(CH_3)_2CHCOOH$ | $2$-methylpropanoic acid |
| $(iii)$ Malonic acid | $HOOC-CH_2-COOH$ | Propanedioic acid |
| $(iv)$ Glutaric acid | $HOOC-(CH_2)_3-COOH$ | Pentanedioic acid |
| $(v)$ Phenyl acetic acid | $C_6H_5CH_2COOH$ | $2$-phenylethanoic acid |
| $(vi)$ Malic acid | $HOOC-CH(OH)-CH_2-COOH$ | $2$-hydroxybutanedioic acid |