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📰 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)} $. 📰 Solution: Use partial fractions: $ \frac{1}{k(k+2)} = \frac{1}{2}\left( \frac{1}{k} - \frac{1}{k+2} \right) $. The sum becomes $ \frac{1}{2} \left( \sum_{k=1}^{50} \frac{1}{k} - \sum_{k=1}^{50} \frac{1}{k+2} \right) = \frac{1}{2} \left( \sum_{k=1}^{50} \frac{1}{k} - \sum_{k=3}^{52} \frac{1}{k} \right) $. Telescoping gives $ \frac{1}{2} \left( \frac{1}{1} + \frac{1}{2} - \frac{1}{51} - \frac{1}{52} \right) = \frac{1}{2} \left( \frac{3}{2} - \frac{103}{2652} \right) = \frac{1}{2} \cdot \frac{3975}{2652} = \frac{1325}{1768} $. \boxed{\dfrac{1325}{1768}} 📰 You Wont Believe Whats Inside The 1794 Toyota Tundra Limited Edition Factor In 90K 1090536 📰 You Wont Believe What Happened When A Ordinary Boy Faced Unbelievable Bullying In 2001 2886934 📰 The Shocking Truth About Shareef Jackson Nobody Is Talking About 6465707 📰 Yugioh Dark Side Of Dimensions 944465 📰 Calculate Cd 3530674 📰 Aliens And Monsters Characters 7325611 📰 Goldfish Nutrition Label 9138978 📰 The Disasters Were Symptomatic Of Inadequate Safety Culture Poor Maintenance Of Equipment Insufficient Worker Training And Outdated Engineering Controls During The Soviet Industrial System The Plant Operated Under Intense Production Quotas With Little Regard For Worker Welfare Or Environmental Safeguards Over Time Corrosion Design Flaws And Emergency Response Failures Compounded The Risks 8214367 📰 Power Automate News 630392 📰 Never Saw This Jacket Like Thisguys Letterman Switch Got Wild 2325093 📰 Redcon1 Unleashes A Secret Strategy That Ignites Infinite Controversy 4000975 📰 Treat To You Better Lyrics 8759640 📰 Ttyd Yahoo Finance Just Just Revealed The Stock Trade No One Wants To Miss 5316603 📰 Do You Have To Have Passport To Go To Hawaii 6311326 📰 5Ever Wanted Instant File Access Heres How To Map A Network Drive Step By Step 4837254