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Home » derivatives of inverse trig functions - Malaeb

derivatives of inverse trig functions - Malaeb

📅 May 4, 2026 👤 scraface

May 04, 2026

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Now compute $ f(5) $:
f(5) = -\frac{14}{3}(125) + 33(25) - \frac{211}{3}(5) + 45 = -\frac{17...
= \left(-\frac{1750 + 1055}{3}\right) + (825 + 45) = -\frac{2805}{3} +...
Thus, $ f(5) = \boxed{-65} $
Question: An anthropologist models cultural adaptation index $ A(x) $...
Solution: By the Remainder Theorem, the remainder when $ A(x)^3 + 2 $...
Let $ A(x) = ax^3 + bx^2 + cx + d $. Use the given values:
A(1) &= a + b + c + d = 2 \quad \text{(1)}\\
A(2) &= 8a + 4b + 2c + d = -4 \quad \text{(2)}\\
A(3) &= 27a + 9b + 3c + d = 6 \quad \text{(3)}\\

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