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Home » The maximum occurs when \( \cos^2 \omega t = 1 \): - IX Labs

The maximum occurs when \( \cos^2 \omega t = 1 \): - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Therefore, $ b(s(4)) = 59 $.

📌 \boxed{59}

📌 Question: A science educator designs a workshop where each teacher contributes $ a $ lesson plans and $ b $ activities. If $ a + b = 12 $ and $ a^2 + b^2 = 90 $, find $ a^3 + b^3 $.

📌 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 contributions is 756.

📌 \boxed{756}

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