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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} $. 📰 Master Stock Patterns Instantly Top Patterns Traders Are Using For Massive Gains 2296901 📰 Youll Make Millions Staking Cryptocurrencyheres How No Expert Skills Required 7845868 📰 Dr Maris Is Analyzing Lipid Production In A Genetically Modified Microalgae Strain Each Gram Of Dry Biomass Yields 025 Grams Of Lipid If Her Bioreactor Produces 12 Kg Of Dry Biomass Per Day And She Harvests Every 3 Days How Many Grams Of Lipid Does She Obtain Per Harvest 919668 📰 Stop Wasting Moneytop 5 Cloud Applications Every Business Needs In 2024 1501557 📰 Shocked By The Jackal Marvel Powerdiscover How It Dominates The Game 7449551 📰 How To Draw A Turtle Quick Easy Unlock The Secret To Stunning Turtle Art Now 3432776 📰 Hidden Benefits Of Provident Funding No One Talks About You Wont 7231341 📰 Who Wont Trust Their Dracena After Discovering Its Toxic Secrets 4198068 📰 Finally The Ultimate Guide To Earning Onlineskips The Drudgery Lands Reality 4099328 📰 Unlock Hidden Value Master The Art Of Appreciating Your Assets Before Its Gone 3500755 📰 Avoid Total Data Lossdiscover The Hidden Places To Find Your Bitlocker Key 3070644 📰 Game Changing Equipment In Oblivion Ready To Level Up Like A Pro 5906052 📰 Adaptation2002 9711635 📰 Wood Taylor Swift 1926330 📰 Wrd Stock Price Soared 300Heres Whats Driving The Wild Surge 4553861