The area of the surface generated by rotating the curve y=1-e*, where -3 ≤ x ≤ 3, about the x-axis, is given by Select one: O ³3 2π(1-e 2)√1 - e-2x dx -3 √1+e-2x dx O f³₂ -3 O ○ ³₂3 (1-e¯²)√1+ e−2x dx -3 O None of the others ○ 3³ 2π(1-e¯)√1 + e−2x dx е

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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The area of the surface generated by
rotating the curve
y=1-e*,
where -3≤ x ≤ 3, about the x-axis, is
given by
Select one:
3
○ ƒ³³ 2π(1 – e¯ª)√1 – e-2x dx
-3
√1+e-2x dx
○
³3 π(1 - e¯¹)√1 + e−2x dx
-3
O
None of the others
O 3³ 2π(1 e 2)√1+e-2x dx
O
3
f³₂
3
Give your reasons
Transcribed Image Text:The area of the surface generated by rotating the curve y=1-e*, where -3≤ x ≤ 3, about the x-axis, is given by Select one: 3 ○ ƒ³³ 2π(1 – e¯ª)√1 – e-2x dx -3 √1+e-2x dx ○ ³3 π(1 - e¯¹)√1 + e−2x dx -3 O None of the others O 3³ 2π(1 e 2)√1+e-2x dx O 3 f³₂ 3 Give your reasons
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