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Home » Second derivative: \(f''(x) = 18x - 4\) - Feedz API

Second derivative: \(f''(x) = 18x - 4\) - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 5Question: Which of the1. **A museum curator is organizing a virtual reality exhibit featuring historical scientific instruments. Suppose the digital cataloging system uses a polynomial function \( f(x) \) to model visitor engagement over time, given by \( f(x) = x^3 - 6x^2 + 11x - 6 \). Find the sum of the roots of this polynomial.

📌 The polynomial \( f(x) = x^3 - 6x^2 + 11x - 6 \) can be analyzed using Vieta's formulas. For a cubic polynomial of the form \( ax^3 + bx^2 + cx + d \), the sum of the roots is given by \( -b/a \). Here, \( a = 1 \) and \( b = -6 \). Therefore, the sum of the roots is \( -(-6)/1 = 6 \).

📌 A glaciologist is using remote sensing data to model glacier melt over time. The rate of change in glacier volume is represented by \( g(t) = t^3 - 4t^2 + 4t \). Determine the critical points where the volume change rate is zero.

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