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Home » Discover the Hidden Power of a ‘Keen Eye’—Proven Phenomena You Can’t Afford to Miss! - Upplift

Discover the Hidden Power of a ‘Keen Eye’—Proven Phenomena You Can’t Afford to Miss! - Upplift

📅 March 2, 2026 👤 scraface

Mar 02, 2026

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📌 ### Question 9

📌 A triangle has sides of lengths 7, 24, and 25. Verify if it is a right triangle and find its area.

📌 Check Pythagorean theorem: \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\)

📌 It is a right triangle.

📌 Area = \(rac{1}{2} imes ext{base} imes ext{height} = rac{1}{2} imes 7 imes 24 = 84\)

📌 ### Question 10

📌 The function \(f(x) = 3x^3 - 2x^2 + x - 5\) has a critical point at \(x = 1\). Determine if it is a maximum, minimum, or neither.

📌 First derivative: \(f'(x) = 9x^2 - 4x + 1\)

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