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Home » Summer’s Sweetest Wisdom: Unforgettable Quotes to Make Every Day Feel Like Paradise! - DNSFLEX

Summer’s Sweetest Wisdom: Unforgettable Quotes to Make Every Day Feel Like Paradise! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 rac{(x-2)^2}{\left(rac{16}{9}

📌 ight)} + rac{(y+2)^2}{4} = 1

📌 This is the equation of an ellipse, as the coefficients of \( (x-2)^2 \) and \( (y+2)^2 \) are positive. The conic section is:

📌 oxed{ ext{Ellipse}}

📌 A herpetologist is modeling the population growth of a species of endangered reptiles using a quadratic function \( P(t) = at^2 + bt + c \), where \( t \) is time in years. If \( P(t) \) reaches its maximum at \( t = 5 \) years and \( a < 0 \), determine the relationship between \( a, b, \) and \( c \).

📌 The vertex form of a quadratic function \( P(t) = at^2 + bt + c \) gives the time at which the maximum value occurs as \( t = -rac{b}{2a} \). Given that the maximum occurs at \( t = 5 \), we have:

📌 = -rac{b}{2a}

📌 Solving for \( b \), we find:

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