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Home » The particle changes direction where the derivative \( y' \) changes sign. - SUpost

The particle changes direction where the derivative \( y' \) changes sign. - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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l + w = 40
Express the area \( A \):
A = l \times w
Substitute \( w = 40 - l \):
A = l(40 - l) = 40l - l^2
Maximize the quadratic function:
The function \( A = -l^2 + 40l \) is a downward-opening parabola. The...
l = -\frac{b}{2a} = -\frac{40}{2(-1)} = 20
Thus, \( w = 40 - 20 = 20 \).
Calculate the maximum area:

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