Explain the outcome of the following reactions by a mechanism showing how the product could be formed.
a. 2,6-Di- $(t$-butyl)phenoxide reacts with $o$-nitroaryl halides in $\mathrm{NaOH} / \mathrm{DMSO}$ at $80^{\circ} \mathrm{C}$ to give 2,6 -di- $(t$-butyl)-4-(2-nitrophenyl)phenol in $60-90 \%$ yield. Under similar conditions, 1,4-dinitrobenzene gives 2,6-di- $(t$-butyl)-4(4-nitrophenyl)phenol.
b. 2 -(3-Chlorophenyl)-4,4-dimethyloxazoline reacts with alkyllithium reagents to give 2-(2-alkylphenyl)-4,4-dimethyloxazolines.
c. Nitrobenzene reacts with cyanomethyl phenyl sulfide in $\mathrm{NaOH} / \mathrm{DMSO}$ to give a mixture of 2- and 4-nitrophenylacetonitrile.
d. The following transformation occurs:
e. Reaction of benzene with 3,3,3-trifluoropropene in the presence of $\mathrm{BF}_{3}$ gives 3,3,3-trifluoropropylbenzene.
f. 3-Chloronitrobenzene reacts with 4-amino-1,2,4-triazole in $\mathrm{K}^{+} .{ }^{-} \mathrm{O}-t-\mathrm{Bu} /$ DMSO to give 2-chloro-4-nitroaniline.
g. Good yields of tetralone can be obtained from 4-phenylbutanoic acid or the corresponding acyl chloride in the presence of the strongly acidic resin Nafion-H. With 3-phenylpropanonic acid, only the acyl chloride gives a cyclization product.