Electron-donating groups increase the reactivity of benzene rings towards electrophilic substitution
• Reactivity is influenced by the electron density on the benzene ring:
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• Dimethylamine (\(NMe_2\)) and methoxy \((OCH_3)\) are strong electron-donating groups, en hancing reactivity.
• Alkyl groups (CH3) show moderate activating effects, while electron-withdrawing groups like trifluoromethyl (CF3) reduce reactivity.
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: