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📰 Question: An ichthyologist models fish population growth with a quadratic function $ h(x) $ satisfying $ h(1) = 4 $, $ h(2) = 11 $, and $ h(3) = 22 $. Find $ h(4) $. 📰 Solution: Assume $ h(x) = ax^2 + bx + c $. Using $ h(1) = a + b + c = 4 $, $ h(2) = 4a + 2b + c = 11 $, $ h(3) = 9a + 3b + c = 22 $. Subtract first equation from second: $ 3a + b = 7 $. Subtract second from third: $ 5a + b = 11 $. Subtract these: $ 2a = 4 \Rightarrow a = 2 $. Then $ 3(2) + b = 7 \Rightarrow b = 1 $. From $ 2 + 1 + c = 4 \Rightarrow c = 1 $. Thus, $ h(x) = 2x^2 + x + 1 $, and $ h(4) = 32 + 4 + 1 = 37 $. \boxed{37} 📰 Question: Compute $ \sum_{k=1}^{50} \frac{1}{k(k+2)} $. 📰 Far Cry 6 Steam 9755565 📰 Los Gatos Cafe 3948488 📰 Pc Games For Mac 13255 📰 Captain America Peggy Exposed The Untold Story Behind The Hero No One Talks About 9986831 📰 Southampton Inn 5500635 📰 Game Pigeon Unleashed You Wont Believe What This Virtual Bird Can Do 7917774 📰 Breaking 2025 Poverty Line Revealedthey Were Wrong About How Many People Are Impoverished 6409131 📰 Experts Reveal The Reddit Red Stock Market Move Making Markets Spin 3854020 📰 5 R9 Cut Secrets Why Pro Players Cant Stop Using It 5806928 📰 Baton Rouge Airport 6037417 📰 Flint Ai 5196206 📰 Icelandic Vs Norwegian 8529054 📰 Kawhi Leonard Hands 3696084 📰 Edward Ortega Revealed The Secret That Shocked The World 2577675 📰 Buff App Hidden Secret Get Faster Results With Just One Click 3748744