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Home » But since not integer, and math problem, accept fractional? Unlikely. - 500apps

But since not integer, and math problem, accept fractional? Unlikely. - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 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 \( \lim_{t o 2} g(t) \).

📌 Note that the expression \( rac{t^3 - 8}{t - 2} \) is indeterminate at \( t = 2 \) since both numerator and denominator vanish. Factor the numerator:

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