3 R- 1 The region pictured below is rotated about the line a = 5. 2 5 • Y = f(x) y. = g(x)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Please solve both
12.
3
R-
The region pictured below is rotated about the line = 5.
• Y= f(x)
y.= g(x)
Which of the following integrals represents the volume of the resulting solid?
(a) f(f(x) - g(x))²dx
(b) ₂2π(5+x)(ƒ(x) — g(x))dx
(c) ₂2n(5 - x)(f(x) — g(x))dx
(d) [(5 – g(x))² − (5 — ƒ(x))²]dx
(e) ₂π[(5+ ƒ(x))² − (5 + g(x))²]dx
Transcribed Image Text:12. 3 R- The region pictured below is rotated about the line = 5. • Y= f(x) y.= g(x) Which of the following integrals represents the volume of the resulting solid? (a) f(f(x) - g(x))²dx (b) ₂2π(5+x)(ƒ(x) — g(x))dx (c) ₂2n(5 - x)(f(x) — g(x))dx (d) [(5 – g(x))² − (5 — ƒ(x))²]dx (e) ₂π[(5+ ƒ(x))² − (5 + g(x))²]dx
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