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📰 But $ d(t) $ agrees with $ t^3 $ at $ t=1,2,3,4 $, yet is a cubic. So define $ p(t) = d(t) - t^3 $. Then $ p(t) $ is a polynomial of degree at most 3 (since $ d(t) $ is cubic, $ t^3 $ is cubic), and $ p(1) = p(2) = p(3) = p(4) = 0 $. 📰 So $ p(t) $ has four roots and is degree ≤ 3 → $ p(t) \equiv 0 $. Hence $ d(t) = t^3 $ is the only possibility. 📰 Therefore, the requirement of a minimum must be interpreted carefully. But the problem says achieves its minimum depth exactly once — so perhaps minimum is a red herring, or we are to assume $ d(t) $ has a unique global minimum, but only one cubic satisfies the four points. 📰 Never Guess Italian Translations Againdiscover The Exact Method 5667483 📰 Step Into Strength Head Hardy Clothes Designed For The Toughest Days 4258524 📰 The Shocking Truth About What Culinary Agents Refuse To Share With Chefs 678674 📰 Rodeo Meaning 288474 📰 Hhs Intranet Hack Whats Really Going On Behind Federal Agency Walls 7550146 📰 Game Of Scores Revealed Youll Never Look At Points The Same Way Again 6490527 📰 Vpn Master Extension 4266448 📰 How To Deposit Cheque In Bank 3604952 📰 Shocking French Curse Words Thatll Make You Say Bon Dieu Out Loud 6828007 📰 Why Everyones Raving About The Fidelity 2 Credit Cardsee Whats Making It A Top Pick 5199750 📰 What 80S Slang Secrets Are Going Viral You Wont Believe How Often Theyre Used 4806926 📰 Her Secret Prep Method Will Change Your Lifeclick To Discover It 4117006 📰 Ukraine Capital 467355 📰 Eggy Cart Hack How A Simple Egg Setup Could Revolutionize Breakfast 100694 📰 Semiconductor Etf 1593128