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Home » Thus, the smallest such \( n \) is 11. - Midis

Thus, the smallest such \( n \) is 11. - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 27a + 9b + 3c + d = 19 \quad \text{(4)}

📌 Substitute \( d = 1 \) into (1), (3), and (4):

📌 Now solve the system:

📌 From (1): \( -a + b - c = 3 \)

📌 From (3): \( 8a + 4b + 2c = 9 \) → divide by 2: \( 4a + 2b + c = 4.5 \)

📌 From (4): \( 27a + 9b + 3c = 18 \) → divide by 3: \( 9a + 3b + c = 6 \)

📌 Now add (1) and \( 4a + 2b + c = 4.5 \):

📌 Add \( (-a + b - c) + (4a + 2b + c) = 3 + 4.5 \Rightarrow 3a + 3b = 7.5 \Rightarrow a + b = 2.5 \) → (A)

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Average daily growth = (G + G + 2.75)/2 = G + 1.375.
Total = 10 × (G + 1.375) = 10G + 13.75.
But G unknown.
Re-read: "growth rate increases by 0.5 mm/day per 1°C", so sensitivity...
Likely intended: the temperature rise causes a cumulative increase in...
Standard interpretation: growth rate rises linearly with temperature,...
But without r, cannot compute unless baseline is zero-sided.
Assume: at 8°C, growth is 0 mm/day (initial condition). Then final = 2...
Then growth = (initial + final)/2 × time = (0 + 2.75)/2 × 10 = 1.375 ×...
But unrealistic biologically.

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