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Home » But instead, let’s use **generating functions with exclusion**, or a **reduced method**. - Leaselab

But instead, let’s use generating functions with exclusion, or a reduced method. - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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🔥 Popular Posts

Question:** A deep-sea microbial ecologist models the growth of bacter...
Solution:** To find the critical points of \( f(x) = 5x^3 - 15x^2 + 10...
f'(x) = rac{d}{dx}(5x^3 - 15x^2 + 10x) = 15x^2 - 30x + 10
Next, we set the derivative equal to zero to find the critical points:
15x^2 - 30x + 10 = 0
Divide the entire equation by 5:
Using the quadratic formula \( x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \...
x = rac{-(-6) \pm \sqrt{(-6)^2 - 4 \cdot 3 \cdot 2}}{2 \cdot 3} = ra...
Simplify \( \sqrt{12} = 2\sqrt{3} \):
x = rac{6 \pm 2\sqrt{3}}{6} = 1 \pm rac{\sqrt{3}}{3}

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