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Home » Since \( f''(1) > 0 \), \( x = 1 \) is a local minimum. - go-checkin.com

Since \( f''(1) > 0 \), \( x = 1 \) is a local minimum. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 93.53

📌 The equation of a circle is \( (x - 3)^2 + (y + 2)^2 = 25 \). Find the center and radius of the circle.

📌 The standard form of a circle's equation is \( (x - h)^2 + (y - k)^2 = r^2 \), where \( (h, k) \) is the center and \( r \) is the radius.

📌 Comparing, \( h = 3 \), \( k = -2 \), and \( r^2 = 25 \).

📌 Thus, the center is \( (3, -2) \) and the radius \( r = \sqrt{25} = 5 \).

📌 #### Center: (3, -2), Radius: 5

📌 A geometric series has a first term of 3 and a common ratio of 2. Find the sum of the first 5 terms.

📌 The sum \( S_n \) of the first \( n \) terms of a geometric series is given by:

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