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Home » First, solve for \(\cos(2z)\): - Veritas Home Health

First, solve for \(\cos(2z)\): - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: Let $ f(x) = ax^3 + bx^2 + cx + d $. Use the given values to form a system of equations:

📌 f(1) &= a + b + c + d = 3 \\

📌 f(2) &= 8a + 4b + 2c + d = -1 \\

📌 f(3) &= 27a + 9b + 3c + d = 5 \\

📌 f(4) &= 64a + 16b + 4c + d = 11 \\

📌 Subtract consecutive equations to eliminate $ d $:

📌 $ (8a + 4b + 2c + d) - (a + b + c + d) = -1 - 3 \Rightarrow 7a + 3b + c = -4 $

📌 $ (27a + 9b + 3c + d) - (8a + 4b + 2c + d) = 5 + 1 \Rightarrow 19a + 5b + c = 6 $

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