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Home » "Garden Game-Changer Alert: See How a Simple Bug Egg Grows a Blooming Oasis! - Carbonext

"Garden Game-Changer Alert: See How a Simple Bug Egg Grows a Blooming Oasis! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 where $ R = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 $

📌 So the maximum water level is $ \boxed{25} $.

📌 To find the first time it occurs:

📌 \tan\phi = \frac{24}{7} \Rightarrow \phi = \arctan\left(\frac{24}{7}\right) \approx 1.287 \text{ radians}

📌 Maximum occurs when:

📌 \frac{\pi}{6}t + \phi = \frac{\pi}{2} \Rightarrow t = \frac{6}{\pi} \left( \frac{\pi}{2} - \phi \right) = \frac{6}{\pi} \left( \frac{\pi}{2} - 1.287 \right)

📌 t \approx \frac{6}{\pi} (1.571 - 1.287) = \frac{6}{\pi} (0.284) \approx 0.54 \text{ months}

📌 So the maximum water level is $ \boxed{25} $, and it first occurs approximately $ \boxed{0.54} $ months after the start of the year, or around early January.

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