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Home » Thus, the solutions for \(z\) are the 4th roots of \(e^2\pi i/3\) - go-checkin.com

Thus, the solutions for \(z\) are the 4th roots of \(e^2\pi i/3\) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 5Question: A pharmacologist models drug concentration over time using a cubic polynomial $ g(x) $ such that $ g(1) = 3 $, $ g(2) = -1 $, $ g(3) = 4 $, and $ g(4) = 10 $. Find $ g(0) $.

📌 Solution: We are given that $ g(x) $ is a cubic polynomial:

📌 g(x) = ax^3 + bx^2 + cx + d

📌 with conditions:

📌 g(1) = a + b + c + d = 3 \quad \text{(1)} \\

📌 g(2) = 8a + 4b + 2c + d = -1 \quad \text{(2)} \\

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

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