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Home » So horizontal asymptote is \( y = 2 \). - AMAZONAWS

So horizontal asymptote is \( y = 2 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \boxed{\frac{4(\sqrt{x} - 2)}{x - 4}}

📌 Question:** A patent attorney is reviewing a patent that involves a formula where \( p+q=10 \) and \( p^2+q^2=58 \). Find \( p^3 + q^3 \).

📌 We know the identity:

📌 p^3 + q^3 = (p+q)(p^2 - pq + q^2)

📌 Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \) using:

📌 10^2 = 58 + 2pq

📌 = 58 + 2pq

📌 2pq = 42 \quad \Rightarrow \quad pq = 21

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