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Home » B: $eginpmatrix 0 & 1 \ -1 & 0 \endpmatrix$ - go-checkin.com

B: $eginpmatrix 0 & 1 \ -1 & 0 \endpmatrix$ - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Thus, the limiting value is \(\boxed{\frac{1}{3}}\).

📌 A computational linguist uses a cubic model \( p(u) = u^3 - 3u^2 + 2u \) to analyze syntactic complexity. Determine the number of distinct real roots of \( p(u) = 0 \).

📌 We solve \( p(u) = u^3 - 3u^2 + 2u = 0 \).

📌 Factor out \( u \):

📌 \[ u(u^2 - 3u + 2) = 0 \]

📌 \[ u(u - 1)(u - 2) = 0 \]

📌 So the roots are \( u = 0, 1, 2 \), all distinct.

📌 Thus, the number of distinct real roots is \(\boxed{3}\).Question: Compute $\tan 30^\circ$ in a right triangle with an opposite side of length $1$ and adjacent side of length $\sqrt{3}$.

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