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