Draw structures for the products you would expect to obtain from reaction of $\beta$ -D-talopyranose with each of the following reagents:
(a) $\mathrm{NaBH}_{4}$ in $\mathrm{H}_{2} \mathrm{O}$
(b) Warm dilute HNO $_{3}$
(c) $\mathrm{Br}_{2}, \mathrm{H}_{2} \mathrm{O}$
(d) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}, \mathrm{HCl}$
(e) $\mathrm{CH}_{3} \mathrm{I}, \mathrm{Ag}_{2} \mathrm{O}$
(f) $\left(\mathrm{CH}_{3} \mathrm{CO}\right)_{2} \mathrm{O},$ pyridine