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when will irs start accepting 2024 tax returns - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 t = -rac{-3}{2 imes 4} = rac{3}{8}

📌 Since \( rac{3}{8} \) is within the interval from \( t = 0 \) to \( t = 3 \), this is the time when the bird reaches its minimum height.

📌 oxed{rac{3}{8}}

📌 Question:** A deep-sea microbial ecologist models the growth of bacteria near hydrothermal vents with the function \( f(x) = 5x^3 - 15x^2 + 10x \). Determine the critical points of \( f(x) \) to analyze potential growth spurts.

📌 Solution:** To find the critical points of \( f(x) = 5x^3 - 15x^2 + 10x \), we first compute its derivative:

📌 f'(x) = rac{d}{dx}(5x^3 - 15x^2 + 10x) = 15x^2 - 30x + 10

📌 Next, we set the derivative equal to zero to find the critical points:

📌 15x^2 - 30x + 10 = 0

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