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📰 Question: A pharmacologist is modeling the concentration of a drug in the bloodstream over time with the function $ C(t) = \frac{3t}{t^2 + 4} $. Find the time $ t \geq 0 $ at which the concentration is maximized. 📰 Solution: To maximize $ C(t) = \frac{3t}{t^2 + 4} $, we take its derivative using the quotient rule: 📰 C'(t) = \frac{(3)(t^2 + 4) - 3t(2t)}{(t^2 + 4)^2} = \frac{3t^2 + 12 - 6t^2}{(t^2 + 4)^2} = \frac{-3t^2 + 12}{(t^2 + 4)^2}. 📰 Cowprint Obsessed Heres The Shocking Truth Behind This Viral Trend 945823 📰 Free Gagmes 8582952 📰 This Free Ingress Game Hack Gives Players Unstoppable Power Over The Digital Playfield 3795979 📰 Kill Knight 📰 She Was Born From No Worldsheres Everything That Followed 4423443 📰 My Verizon Website Pay Bill 📰 Good Hard Drinks 📰 A Science Journalist Creates A Visualization Showing That Renewable Energy Capacity Grew From 500 Gw In 2015 To 1200 Gw In 2023 What Was The Average Annual Growth In Gigawatts Over This 8 Year Period 3742078 📰 Ten01 4833031 📰 You Wont Believe What This Furry Giant Hides Inside This Lasting Drawing 4820221 📰 Hanabi Hyuga Secrets The Eye Of Boruta That Changed The Game Forever 5860073 📰 New Total Company Valuation 1200000 275544 📰 Big Announcement And Princess Game And Officials Confirm 📰 Dynamic Playmaker Hit A Historic 14234 Rushing Yardsunbelievable Feat You Wont Believe It 1327208 📰 Fortnite Outages