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Home » where \(c\) is the hypotenuse, and \(a\) and \(b\) are the legs. - Dyverse

where \(c\) is the hypotenuse, and \(a\) and \(b\) are the legs. - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Using the quadratic formula: \( n = \frac{-1 \pm \sqrt{1 + 4 \times 420}}{2} = \frac{-1 \pm \sqrt{1681}}{2} \).

📌 Since \( \sqrt{1681} = 41 \), \( n = \frac{-1 + 41}{2} = 20 \) (only positive solution).

📌 #### n = 20

📌 A cylinder has a height of 12 cm and a radius of 3 cm. Calculate its volume.

📌 Substituting the given values, \( V = 3.14 \times 3^2 \times 12 = 3.14 \times 9 \times 12 = 339.12 \) cubic cm.

📌 #### Volume: 339.12 cubic cm

📌 Find the derivative of the function \( f(x) = 4x^3 - 5x^2 + 2x - 7 \).

📌 Using power rule, \( f'(x) = 12x^2 - 10x + 2 \).

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