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Home » But let's match format — likely intended: - IX Labs

But let's match format — likely intended: - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Period = total time / number of oscillations = 30 / 15 = 2 seconds.

📌 Convert to ms: 2 × 1,000 = 2,000 ms.

📌 #### 2000Question: Let $ f(x) $ be a cubic polynomial such that $ f(1) = 3 $, $ f(2) = 8 $, $ f(3) = 15 $, and $ f(4) = 24 $. Find $ f(5) $.

📌 Solution: Let $ f(x) = ax^3 + bx^2 + cx + d $. Using the given values:

📌 \begin{aligned}

📌 f(1) &= a(1)^3 + b(1)^2 + c(1) + d = a + b + c + d = 3 \\

📌 f(2) &= 8a + 4b + 2c + d = 8 \\

📌 f(3) &= 27a + 9b + 3c + d = 15 \\

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