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Home » The roots with maximum imaginary part are $ e^i\pi/3 $ and $ e^{ - Appfinity Technologies

The roots with maximum imaginary part are $ e^i\pi/3 $ and $ e^{ - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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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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