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Home » Don’t Miss the Life-Changing Smth Meaning Discovery—What Is It?! - Upplift

Don’t Miss the Life-Changing Smth Meaning Discovery—What Is It?! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Maximum occurs when the cosine term is 1, i.e.,

📌 \frac{\pi}{12}t - \phi = 0 \Rightarrow t = \frac{12}{\pi} \cdot \phi \approx \frac{12}{\pi} \cdot 1.176 \approx 4.49 \text{ hours}

📌 So the maximum value of $ f(t) $ is $ \boxed{13} $, and it occurs at approximately $ \boxed{4.49} $ hours after midnight, or around 4:29 AM.

📌 Question: A city planner is designing a periodic stormwater drainage system that follows a sinusoidal pattern over the year. The water level is modeled by $ w(t) = 7\sin\left(\frac{\pi}{6}t\right) + 24\cos\left(\frac{\pi}{6}t\right) $, where $ t $ is in months. What is the maximum water level, and when does it first occur?

📌 We combine the expression into a single sine function:

📌 w(t) = R\sin\left(\frac{\pi}{6}t + \phi\right)

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

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

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Now substitute $ t = 9 $ into $ b(t) $:
b(9) = 9^2 - 3(9) + 5 = 81 - 27 + 5 = 59
Therefore, $ b(s(4)) = 59 $.
\boxed{59}
Question: A science educator designs a workshop where each teacher con...
We know $ a + b = 12 $. To find $ ab $, use:
= 90 + 2ab \Rightarrow 2ab = 54 \Rightarrow ab = 27
a^3 + b^3 = 12^3 - 3(27)(12) = 1728 - 972 = 756
Thus, the sum of the cubes of lesson plans and activities contribution...
\boxed{756}

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