(N/A) Mechanism: Friedel-Crafts reactions of anisole proceed via electrophilic aromatic substitution $(S_{E}Ar)$ mechanism.
$(a)$ Alkylation of Anisole:
$(i)$ Reagent: $CH_{3}Cl$ (Chloromethane)
(ii) Catalyst: Anhydrous aluminum chloride $(AlCl_{3})$ in $CS_{2}$ solvent.
(iii) Reaction: The methyl (alkyl) group attaches to the ortho and para positions of the $-OCH_{3}$ group.
(iv) Product: The major product is $4$-methoxytoluene and the minor product is $2$-methoxytoluene.
$(b)$ Friedel-Crafts Acylation of Anisole:
$(i)$ Reaction: In the acylation of anisole,the acyl $(-COCH_{3})$ group is introduced into the benzene ring at the ortho and para positions relative to the $-OCH_{3}$ group via $S_{E}Ar$ substitution.
(ii) Reagent: Ethanoyl chloride $(CH_{3}COCl)$ and acyl halide $(RCOCl)$.
(iii) Catalyst: Lewis acid anhydrous aluminum chloride $(AlCl_{3})$.
(iv) Product: The acyl group $(-COCH_{3})$ attaches to the ortho and para positions of the $-OCH_{3}$ group,yielding $4$-methoxyacetophenone as the major product and $2$-methoxyacetophenone as the minor product.