Electrophilic aromatic substitution usually occurs at the 1 -position of naphthalene, also called the $\alpha$ position. Predict the major products of the reactions of naphthalene with the following reagents.
(a) $\mathrm{HNO}_{3}, \mathrm{H}_{2} \mathrm{SO}_{4}$
(b) $\mathrm{Br}_{2}, \mathrm{FeBr}_{3}$
(c) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COCl}, \mathrm{AlCl}_{3}$
(d) isobutylene and HF
(e) cyclohexanol and $\mathrm{BF}_{3}$
(f) fuming sulfuric acid