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📰 Question: A physiological researcher is analyzing the periodic response of heart rate variability over a 24-hour period, modeled by the function $ f(t) = 5\cos\left(\frac{\pi}{12}t\right) + 12\sin\left(\frac{\pi}{12}t\right) $. What is the amplitude of this function, and at what time does the maximum occur? 📰 This function can be expressed in the form $ R\cos\left(\frac{\pi}{12}t - \phi\right) $, where $ R = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 $ 📰 So the amplitude is $ \boxed{13} $. 📰 You Wont Believe Which 10 Richest Towns In America Have Access To Billions In Hidden Wealth 4099973 📰 Water Fountain With Bottle Filler 7825428 📰 Screenflow Recording 3857968 📰 Sap500 Futures 2882579 📰 5G Hotspot Verizon 1930118 📰 Peoplefinders 5200337 📰 Score A 27K Plus 401K Catch Up 2025 Rules You Must Follow Before Deadline 2893979 📰 The Ultimate Guide To Shut The Box Rules You Cant Afford To Ignore 8529655 📰 The Shocking Secret Behind Cloyster Will Change Everything You Think About Hidden Realms 5229718 📰 The Ultimate Guide Everyone Dreams Offotbal Ba Fr Alle 1582590 📰 No More Language Barriers Use Image Translate To Understand Visuals Instantly 1967625 📰 Stop Time Enjoy It How To Make A Paper Star That Lights Up Your Craft Night 9653484 📰 Just Watch Willem Dafoe Reveals The Shocking Truth Behind His Looking Up Moment 3916681 📰 Delta Ways Your Windows Cant Communicatefix It Before Its Too Late 9716698 📰 Courtyard By Marriott Fort Lauderdale North Cypress Creek 5824933