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Home » Using \(\lim_u \to 0 \frac\sin uu = 1\), rewrite: - go-checkin.com

Using \(\lim_u \to 0 \frac\sin uu = 1\), rewrite: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Substitute \( t = rac{3}{2} \) into \( H(t) \):

📌 H\left(rac{3}{2}

📌 ight) = 4\left(rac{3}{2}

📌 ight)^2 - 12\left(rac{3}{2}

📌 ight) + 9 = 4 \cdot rac{9}{4} - 18 + 9 = 9 - 18 + 9 = 0

📌 Thus, the minimum heat loss is 0 units at \( t = rac{3}{2} \) hours.

📌 oxed{ ext{Minimum heat loss is } 0 ext{ at } t = rac{3}{2} ext{ hours}}

📌 An astrophysicist working on gravitational wave detection models a signal with the equation \( g(t) = rac{t^3 - 8}{t - 2} \). Evaluate \( \lim_{t o 2} g(t) \).

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