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📰 Question: A science communicator observes that the number of views $ V(t) $ on a video grows quadratically over time $ t $ (in days). If $ V(1) = 120 $, $ V(2) = 200 $, and $ V(3) = 300 $, find $ V(4) $. 📰 Solution: Assume $ V(t) = at^2 + bt + c $. From $ V(1) = a + b + c = 120 $, $ V(2) = 4a + 2b + c = 200 $, $ V(3) = 9a + 3b + c = 300 $. Subtract first equation from the second: $ 3a + b = 80 $. Subtract second from the third: $ 5a + b = 100 $. Subtract these: $ 2a = 20 $ → $ a = 10 $. Then $ 3(10) + b = 80 $ → $ b = 50 $. From $ a + b + c = 120 $: $ 10 + 50 + c = 120 $ → $ c = 60 $. Thus, $ V(t) = 10t^2 + 50t + 60 $. For $ t = 4 $: $ V(4) = 10(16) + 50(4) + 60 = 160 + 200 + 60 = 420 $. Final answer: $ oxed{420} $. 📰 Question: An underwater robot’s depth $ d(t) $ (in meters) satisfies $ d(t) = pt^3 + qt^2 + rt + s $. Given $ d(1) = 10 $, $ d'(1) = 12 $, $ d(2) = 28 $, and $ d'(2) = 30 $, find $ d(0) $. 📰 Tankless Reverse Osmosis Water Filter System 6539174 📰 Cho Sen Island Lawrence Ny 3252461 📰 Achv Meaning The Surprising Answer Everyones Missing 2905214 📰 Complete The Look With Benjamin Moore Pale Oakthe Choice Every Designer Demands 2159282 📰 How To Draw A Puppy 4484658 📰 Push Day Workout So Powerfulwatch Your Strength Skyrocket 890007 📰 How To Create A Custom Game In Fortnite 3944826 📰 Inspector General Hotline Exposed 10 Shocking Incidents That Will Shock You 4261774 📰 Marshalls Santa Rosa California 1735650 📰 Empyrean Series 6149179 📰 Why Everyone Is Talking About Mollys Game The Bold Story Behind The Box Office 8257650 📰 Mikeroweworks 409324 📰 Caught Stealing Film 3091067 📰 Clementines Greatest Challenge Yet Escaping The Walking Deadwatch Her Fight For Survival 5665720 📰 Swap Force Shook The Sky Heres Why Skylanders Are Taking Over 1496752