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c = 2R \sin\left(rac heta2 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Find critical points: $f'(x) = 18x^2 - 72x + 54$.

📌 Set to zero: $18x^2 - 72x + 54 = 0 \Rightarrow x^2 - 4x + 3 = 0 \Rightarrow (x - 1)(x - 3) = 0$.

📌 So $x = 1$ and $x = 3$.

📌 Evaluate $f(x)$:

📌 $f(0) = 0$

📌 $f(1) = 6 - 36 + 54 = 24$

📌 $f(3) = 6(27) - 36(9) + 54(3) = 162 - 324 + 162 = 0$

📌 $f(5) = 6(125) - 36(25) + 54(5) = 750 - 900 + 270 = 120$

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