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Home » \(\boxedb = -5, \, c = 6\) - go-checkin.com

\(\boxedb = -5, \, c = 6\) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Annual decay = 5% → retention = 95% = 0.95

📌 After 1 year: 80 × 0.95 = 76

📌 After 2 years: 76 × 0.95 = 72.2 → ≈72.2

📌 After 3 years: 72.2 × 0.95 = 68.59 → round to nearest whole = 69

📌 Use exact: 80 × (0.95)^3 = 80 × 0.857375 = 68.59 → approximately 69

📌 Since animals are whole, and question implies real count, report as 69

📌 A mammalogist observes that polar bear cubs reduce their foraging range by 12.5% each month as they mature. If a cub starts with a 64 km² range, what will it be after 2 months?

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Thus, \( x = 0 \) or \( x = 2 \).
To determine which value maximizes \( C(x) \), evaluate the second der...
C''(x) = rac{d}{dx}(e^{-x}(10x - 5x^2)) = e^{-x}(-10x + 5x^2) + e^{-x...
C''(x) = e^{-x}(-10x + 5x^2 + 10 - 10x) = e^{-x}(5x^2 - 20x + 10).
Evaluate \( C''(x) \) at the critical points:
\( x = 0 \):
C''(0) = e^0(5(0)^2 - 20(0) + 10) = 10 > 0 \quad ( ext{local minimum})...
C''(2) = e^{-2}(5(2)^2 - 20(2) + 10) = e^{-2}(20 - 40 + 10) = e^{-2}(-...
Therefore, the concentration is maximized at \( x = 2 \).
A historian of science is examining the impact of a scientific discove...

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