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Home » Since both sides are equal, the triangle is a right triangle. - DNSFLEX

Since both sides are equal, the triangle is a right triangle. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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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 \( x = 2 \).
To determine which value maximizes \( C(x) \), evaluate the second der...
C''(x) = rac{d}{dx}(e^{-x}(10x - 5x^2)) = e^{-x}(-10x + 5x^2) + e^{-x...
C''(x) = e^{-x}(-10x + 5x^2 + 10 - 10x) = e^{-x}(5x^2 - 20x + 10).

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