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Home » Derivative: \(f'(t) = 1 - rac8t^3\) - go-checkin.com

Derivative: \(f'(t) = 1 - rac8t^3\) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Total yield = $ 600 + 690 + 771 + 843.9 + 909.51 = 4014.41 $ kg/ha

📌 Alternatively, increase sequence:

📌 First increase: 100

📌 Then geometric sequence of increases: 100, 90, 81, 72.9, 65.61 → common ratio 0.9, 5 terms?

📌 Wait: 5 seasons → 1 initial increase, then 4 growth increments? But:

📌 Type: $ Y_n = Y_{n-1} + r \cdot (\text{prev increase}) $, with pre-increase 100, then 90, 81, etc.

📌 Actually, increase forms a geometric sequence: $ d_1 = 100 $, $ d_2 = 90 = 0.9 \times 100 $, $ d_3 = 81 = 0.9^2 \times 100 $, ..., $ d_k = 100 \times (0.9)^{k-1} $

📌 Total increase over 5 seasons: $ \sum_{k=1}^{4} d_k $ (since first is initial, then 4 more)

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