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📰 Altura = \(\frac{12\pi}{8} = \frac{3\pi}{2} \approx 4.71\) metros 📰 #### 4.71 metrosQuestion: A data scientist models user engagement on a platform with the function $ f(t) = t^2 - \frac{t^4}{4} $, where $ t $ represents time in hours. Find the maximum value of $ f(t) $. 📰 Solution: To find the maximum value of $ f(t) = t^2 - \frac{t^4}{4} $, take the derivative $ f'(t) = 2t - t^3 $. Set $ f'(t) = 0 $: $ 2t - t^3 = 0 \Rightarrow t(2 - t^2) = 0 $. Critical points at $ t = 0 $ and $ t = \pm\sqrt{2} $. Evaluate $ f(\sqrt{2}) = (\sqrt{2})^2 - \frac{(\sqrt{2})^4}{4} = 2 - \frac{4}{4} = 1 $. The maximum value is $ \boxed{1} $. 📰 Decaf Coffee Benefits 5552800 📰 Purple Heart Meaning Exposed Why This Award Still Moves Americans To Tears 2167096 📰 5Breaking Inside The Pje News Shakeup Thats Taking The Internet Byol 5313546 📰 Can This Opportunity Make You Riches Discover The Explosive Stock Opi Moment 2458541 📰 Novio In English 2700026 📰 Wells Fargo 325 Checking Bonus 2630837 📰 How Much Protein In One Egg 7219554 📰 You Wont Believe What Hidden Diary Was Found After The Legendary Chill Zone Film Ends 6381877 📰 Shocking Voape Secrets Fogers Secret Vape Flavors Every Flavor Lover Classic 8492128 📰 Gilded Elites Pack 237400 📰 Kensington Ca 9467628 📰 Dahua Smart Player Download 4590465 📰 Kanoa Goo 1660816 📰 Periodic Table Of Elements Gold 967649 📰 Filtered Water Dispensers 7582672