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Home » The ratio of the area of the circle to the area of the square is given by: - SUpost

The ratio of the area of the circle to the area of the square is given by: - SUpost

📅 July 7, 2026 👤 scraface

Jul 07, 2026

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📌 Since \( x \) is in the first quadrant, \( \cos(x) = \frac{4}{5} \).

📌 #### \(\frac{4}{5}\)

📌 The function \( f(x) = x^3 - 3x^2 + 4 \) has a local minimum at \( x = a \). Find the value of \( a \).

📌 First, find the derivative: \( f'(x) = 3x^2 - 6x \).

📌 Set \( f'(x) = 0 \) to find critical points: \( 3x(x - 2) = 0 \).

📌 So, \( x = 0 \) or \( x = 2 \).

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

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

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