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Home » Sum the area and circumference: \(153.86 + 43.96 = 197.82\). - Groen Casting

Sum the area and circumference: \(153.86 + 43.96 = 197.82\). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Using the product rule, where \( u = 5x^2 \) and \( v = e^{-x} \), we have:

📌 C'(x) = u'v + uv' = (10x)e^{-x} + 5x^2(-e^{-x}) = e^{-x}(10x - 5x^2).

📌 Set \( C'(x) = 0 \) to find critical points:

📌 e^{-x}(10x - 5x^2) = 0.

📌 Since \( e^{-x}

📌 eq 0 \), we solve:

📌 10x - 5x^2 = 0 \quad \Rightarrow \quad 5x(2 - x) = 0.

📌 Thus, \( x = 0 \) or \( x = 2 \).

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