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📰 Thus, the minimum value is $ \boxed{5} $. 📰 Question: A mammalogist observes that the social cohesion index $ S $ of a primate group over time is modeled by $ S = \left| \sin\left(\frac{3\pi}{7} t\right) + \cos\left(\frac{4\pi}{7} t\right) \right| $, where $ t $ is time in days. How many times in one full cycle of $ S $ (i.e., over $ t \in [0, 7) $) does $ S = 1 $? 📰 Solution: The function $ S(t) = \left| \sin\left(\frac{3\pi}{7} t\right) + \cos\left(\frac{4\pi}{7} t\right) \right| $ has period $ T $, where both components repeat. The fundamental period is the least common multiple of the periods of $ \sin\left(\frac{3\pi}{7} t\right) $ and $ \cos\left(\frac{4\pi}{7} t\right) $. 📰 Sidney Barney 1035313 📰 The Gerald Way Secret That Changed My Life Forever You Wont Believe What Followed 8687889 📰 Verizon Goose Creek Sc 7564282 📰 From Litter To Legend The Hidden Story Behind This Stunning Rag Quilt 7265156 📰 Plex For Windows Unleashed Discover The Secret To Magic Streaming That Will Blow Your Mind 7265717 📰 Helicopter Simulator Vr 8700625 📰 Booking103Transmitdownload Watch Your Download Speed Skyrocket In Seconds 1738164 📰 Chickys 1948870 📰 Spend Less Style More Smart Casual Dresses Women Are Using To Elevate Their Look 4472038 📰 Master Oracle Database Admin Certificationunlock Certification Success Overnight 5592337 📰 A Cylindrical Tank With A Radius Of 4 Meters Is Filled With Water To A Height Of 10 Meters If The Tank Is Emptied At A Rate Of 5 Cubic Meters Per Minute How Long Will It Take To Empty The Tank 7094420 📰 Shocking Eu Research Funding News Today Governments Unleash Billions For Future Innovation 9142469 📰 Water Filtration Home System 5197100 📰 Craft Brickell 2755666 📰 Live Sql Oracle 5786699