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4 6 8 10 12 ਨ (2,-6) (A B 12 The graph of y = f(x) consists of a semicircle with endpoints at (2, -6) and (12, -6), as shown in the figure above. What is the value of [1 - Graph of f 25 (12,-6) OFF x f (æ) d

4 6 8 10 12 ਨ (2,-6) (A B 12 The graph of y = f(x) consists of a semicircle with endpoints at (2, -6) and (12, -6), as shown in the figure above. What is the value of [1 - Graph of f 25 (12,-6) OFF x f (æ) d

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The diagram presents the graph of a function \( y = f(x) \), which is depicted as a semicircle. The semicircle has endpoints at the coordinates \((2, -6)\) and \((12, -6)\). ### Question: The graph of \( y = f(x) \) consists of a semicircle with endpoints at \((2, -6)\) and \((12, -6)\), as shown in the figure above. What is the value of \( \int_2^{12} f(x) \, dx \)? ### Options: A) \(-\frac{25\pi}{2}\) B) \(\frac{25\pi}{2}\) C) \(-60 + \frac{25\pi}{2}\) D) \(60 - \frac{25\pi}{2}\)
Transcribed Image Text:The diagram presents the graph of a function \( y = f(x) \), which is depicted as a semicircle. The semicircle has endpoints at the coordinates \((2, -6)\) and \((12, -6)\). ### Question: The graph of \( y = f(x) \) consists of a semicircle with endpoints at \((2, -6)\) and \((12, -6)\), as shown in the figure above. What is the value of \( \int_2^{12} f(x) \, dx \)? ### Options: A) \(-\frac{25\pi}{2}\) B) \(\frac{25\pi}{2}\) C) \(-60 + \frac{25\pi}{2}\) D) \(60 - \frac{25\pi}{2}\)
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