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Home » Solve All the Mysteries of Riddle School 2 and Unlock the Hidden Truth! - Nelissen Grade advocaten

Solve All the Mysteries of Riddle School 2 and Unlock the Hidden Truth! - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Thus $ \sin 3x \sin x = -1 $ is achievable (e.g., $ x = rac{3\pi}{2}...
Wait â we want to **minimize** $ f(x) = 1 - \sin 3x \sin x $, so we...
So we seek $ \max(\sin 3x \sin x) $. Use identity:
\sin 3x = 3\sin x - 4\sin^3 x
Let $ u = \sin x \in [-1, 1] $. Then:
\sin 3x \sin x = (3u - 4u^3)u = 3u^2 - 4u^4
Define $ g(u) = 3u^2 - 4u^4 $, $ u \in [-1, 1] $.
g'(u) = 6u - 16u^3 = 2u(3 - 8u^2)
Set $ g'(u) = 0 $: $ u = 0 $ or $ 3 - 8u^2 = 0 \Rightarrow u^2 = rac{...
Evaluate $ g(u) $:

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Thus, the number of distinct sequences is $oxed{1680}$.
Question: A meteorologist is analyzing storm patterns over a 7-day per...
Solution: We are assigning weather types to 7 days such that 3 are rai...
rac{7!}{3! \cdot 2! \cdot 2!} = rac{5040}{6 \cdot 2 \cdot 2} = rac{5...
Therefore, the number of possible weather sequences is $oxed{210}$.
Question: A science communicator is creating a 6-part video series on...
Solution: We are arranging 6 video episodes where there are 2 identica...
rac{6!}{2! \cdot 2! \cdot 2!} = rac{720}{2 \cdot 2 \cdot 2} = rac{72...
Hence, the number of distinct release orders is $oxed{90}$.
Question: Three distinct prime numbers less than 50 are selected at ra...

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