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Home » Now, evaluate \( p'(1) \): - Simpleprint

Now, evaluate \( p'(1) \): - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 After sliding: base = 7 m

📌 New height = \( \sqrt{13^2 - 7^2} = \sqrt{169 - 49} = \sqrt{120} = 2\sqrt{30} \) m

📌 But \( 2\sqrt{30} \approx 10.95 \), so distance slid down:

📌 - 2\sqrt{30} \approx 12 - 10.95 = 1.05

📌 \Delta h = 12 - \sqrt{120} = 12 - 2\sqrt{30}

📌 But compute exactly:

📌 \sqrt{120} = \sqrt{4 \cdot 30} = 2\sqrt{30}

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