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The region bounded by the curves f(x) = 1 – (x – 1)² and g(x) = (x – 2)² – 4 is revolved about the line y = 1. Which definite integral is equivalent to the volume of the generated solid? (A) = (1-50)* - (1–- g(*))*) dx | x(f(x) – g(x))dx (В) 2л (C) 1 (1– f(»)* + (1 – g(*)*) dx (D) «[ (1– g(×))* – (1 – fw)*)dx ОА В D

The region bounded by the curves f(x) = 1 – (x – 1)² and g(x) = (x – 2)² – 4 is revolved about the line y = 1. Which definite integral is equivalent to the volume of the generated solid? (A) = (1-50)* - (1–- g(*))*) dx | x(f(x) – g(x))dx (В) 2л (C) 1 (1– f(»)* + (1 – g(*)*) dx (D) «[ (1– g(×))* – (1 – fw)*)dx ОА В 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 region bounded by the curves f(x) = 1 – (x – 1)² and g(x) = (x – 2)² – 4 is revolved about the line y = 1. Which definite integral is equivalent to the volume of the generated solid? (A) ¤ [ (1–f)* – (1– g(x)*) dx (B) 2m | x(f(x) – g(x))dx 3 (C) a [ (1– f(x)° + (1– g(x))*) dx (D) « (1-9(x))* – (1 – f))*)dx O A В O D
Transcribed Image Text:The region bounded by the curves f(x) = 1 – (x – 1)² and g(x) = (x – 2)² – 4 is revolved about the line y = 1. Which definite integral is equivalent to the volume of the generated solid? (A) ¤ [ (1–f)* – (1– g(x)*) dx (B) 2m | x(f(x) – g(x))dx 3 (C) a [ (1– f(x)° + (1– g(x))*) dx (D) « (1-9(x))* – (1 – f))*)dx O A В O D
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