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Home » Essayons x = 6 â 2(216) + 8(36) = 432 + 288 = 720 â 384 - Groen Casting

Essayons x = 6 â 2(216) + 8(36) = 432 + 288 = 720 â 384 - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The earliest local UTC (UTC−5) could be at +15:45 (11:45 local that day), and the latest local UTC (UTC+3) could be UTC+4:00 (4:00 local).

📌 Maximum difference = 4:00 − (−3:45) → UTC−5 at 4:00 local, UTC+3 at 05:45 next day → better: UTC−5 leads UTC+3 by 8 hours.

📌 So max difference: UTC+3 local (e.g., 14:00) − UTC−5 local (e.g., 23:00 yesterday) = 8 hours. But sync tolerance is 15 minutes, so maximum possible offset within window is 15 minutes.

📌 But the question asks for maximum possible *local time difference* at sync, not usage.

📌 Best: earliest local (UTC−5: 10:00), latest local (UTC+3: 13:00) → difference = 3 hours = 180 minutes.

📌 But sync requires within 15-min window. Maximized difference in *local time readings* is 3 hours = 180 minutes.

📌 However, the **difference in local UTC times** is fixed once sync is synchronized.

📌 But the question asks for "maximum possible difference in local UTC times" — that is, if sync occurs when local time differs by up to 15 minutes, the maximum possible local UTC offset difference is 8 hours (from UTC−5 to UTC+3).

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e -2\) (which is always true since \(\sin x \in [-1,1]\)).
Solution: Let \(y = rac{2\sin x + 3}{\sin x + 2}\). Solve for \(\sin...
y(\sin x + 2) = 2\sin x + 3 \Rightarrow y\sin x + 2y = 2\sin x + 3
We require \(\left|rac{3 - 2y}{y - 2}
ight| \leq 1\)
\left| rac{3 - 2y}{y - 2}
ight| \leq 1 \Rightarrow (3 - 2y)^2 \leq (y - 2)^2
Expand both sides:
- 12y + 4y^2 \leq y^2 - 4y + 4
4y^2 - 12y + 9 \leq y^2 - 4y + 4

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