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Home » Find the horizontal asymptote of this function as \( t \to \infty \). - Midis

Find the horizontal asymptote of this function as \( t \to \infty \). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A virologist is evaluating the effectiveness of a synthetic virus inhibitor. The virus population starts at 8 million and is reduced by 25% daily with treatment. How many virus particles remain after 3 days?

📌 After day 1: 8,000,000 × 0.75 = 6,000,000

📌 After day 2: 6,000,000 × 0.75 = 4,500,000

📌 After day 3: 4,500,000 × 0.75 = 3,375,000

📌 #### 3,375,000**Question: A herpetologist studying reptile population dynamics models the growth of a lizard population with a quadratic polynomial \( h(x) \) such that \( h(0) = 3 \), \( h(1) = 8 \), and \( h(2) = 15 \). Find \( h(x^2 + 2) \).

📌 To find the quadratic polynomial \( h(x) = ax^2 + bx + c \), we use the given conditions:

📌 \( h(0) = 3 \) implies \( c = 3 \).

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