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Home » Spring into December—Find Out How Many Days Until the Easter Celebration! - Abbey Badges

Spring into December—Find Out How Many Days Until the Easter Celebration! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 An angel investor is analyzing a startup's growth potential modeled by the function \( f(x) = 4x^3 - 9x^2 + 6x - 1 \). Determine the x-coordinate of the local maximum of the function, which represents the point of optimal growth.

📌 To find the local maximum of the function \( f(x) = 4x^3 - 9x^2 + 6x - 1 \), we first find its derivative:

📌 \[ f'(x) = rac{d}{dx}(4x^3 - 9x^2 + 6x - 1) = 12x^2 - 18x + 6. \]

📌 Set the derivative equal to zero to find critical points:

📌 \[ 12x^2 - 18x + 6 = 0. \]

📌 Divide the entire equation by 6:

📌 \[ 2x^2 - 3x + 1 = 0. \]

📌 Factor the quadratic equation:

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Rounded to nearest tenth: 23.8 cm
A = 300 × e^(-0.04×6) = 300 × e^(-0.24)
A ≈ 300 × 0.7866 = 235.98
At t =
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