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πŸ“° 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} πŸ“° Question: Compute $ \sum_{k=1}^{50} \frac{1}{k(k+2)} $. πŸ“° 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}} πŸ“° Skate Juegos πŸ“° Verizon Add Account Manager πŸ“° Fidelity Government Money Market Fund The Secret Government Investment Youger Crave 2520129 πŸ“° Lost Your Email This Clever Trick Will Help You Recall It Instantly 8385758 πŸ“° Gen 8 Starters πŸ“° Government Announces Paper Game Io And The Details Emerge πŸ“° Zach Cregger Resident Evil 8501783 πŸ“° Best Carbon Monoxide And Smoke Alarm 9936389 πŸ“° Unblocked 1V1 Lol This Hidden Tip Reveals How Pros Always Outplaymax 5192162 πŸ“° Why 10M Users Swear By This X Video Downloader Watch Instant Results 53861 πŸ“° Proheart 12 6788297 πŸ“° Stunning Aqua Sculpt Techniques You Need To Try For Ultimate Pool Makeover 3452962 πŸ“° Blatten Ch Shocked Millions The Untamed Energy You Need To Know Now 520521 πŸ“° Dolares Pesos Dominicanos πŸ“° Boa Work Hours