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Home » Professor Cal’s Hidden Teaching Trick Will Change How You Study Forever! - Esdistancia

Professor Cal’s Hidden Teaching Trick Will Change How You Study Forever! - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Use the second derivative test: \( f''(x) = 6x - 6 \).

📌 At \( x = 0 \), \( f''(0) = -6 \) (local maximum).

📌 At \( x = 2 \), \( f''(2) = 6 \times 2 - 6 = 6 \) (local minimum).

📌 Therefore, \( a = 2 \).

📌 A circle is inscribed in a square with a side length of 10 units. What is the area of the shaded region between the circle and the square?

📌 The area of the square is \( 10^2 = 100 \) square units.

📌 The diameter of the inscribed circle is 10 units, so the radius is 5 units.

📌 The area of the circle is \( \pi \times 5^2 = 25\pi \).

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