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Home » \(r_1r_2 = 6\) (product of roots) - Get link 4share

\(r_1r_2 = 6\) (product of roots) - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Given \( \frac{dV}{dt} = -3 \) m³/min and \( h = 6 \):

📌 = \frac{\pi}{9} (6)^2 \frac{dh}{dt} = \frac{\pi}{9} \times 36 \times \frac{dh}{dt} = 4\pi \frac{dh}{dt}

📌 \frac{dh}{dt} = \frac{-3}{4\pi} \approx -0.239 \text{ m/min}

📌 #### -0.239

📌 A satellite orbits Earth in a circular path of radius 7,000 km with a period of 100 minutes. Calculate its linear speed in km/s.

📌 Circumference of orbit:

📌 C = 2\pi r = 2\pi \times 7000 \approx 43982.3 \text{ km}

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