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23. Which of the following gives a formula for the surface area of the surface S obtained by rotating the graph of y = ex around the x-axis, where a ≤ x ≤ b and 0 ≤ 0 ≤ 2π is the angle of rotation? Note that a parametrization of S is given by F(x,0) = xi + e* cos 0j + e* sin 0 k. a) 2T ₂x₁₂/1 ²x dr

23. Which of the following gives a formula for the surface area of the surface S obtained by rotating the graph of y = ex around the x-axis, where a ≤ x ≤ b and 0 ≤ 0 ≤ 2π is the angle of rotation? Note that a parametrization of S is given by F(x,0) = xi + e* cos 0j + e* sin 0 k. a) 2T ₂x₁₂/1 ²x dr

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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23. Which of the following gives a formula for the surface area of the surface S obtained by rotating the graph of y = ex around the x-axis, where a ≤ x ≤ b and 0 ≤ 0 ≤ 2π is the angle of rotation? Note that a parametrization of S is given by r(x,0) = xỉ + e* cos 0 j + e* sin 0 k. a) 2π b) 2π c) 25 ex√1-e²x dx ex√1 + e²x dx 1 + e²x dx d) πе*√1 + е²x dx e) None of the above
Transcribed Image Text:23. Which of the following gives a formula for the surface area of the surface S obtained by rotating the graph of y = ex around the x-axis, where a ≤ x ≤ b and 0 ≤ 0 ≤ 2π is the angle of rotation? Note that a parametrization of S is given by r(x,0) = xỉ + e* cos 0 j + e* sin 0 k. a) 2π b) 2π c) 25 ex√1-e²x dx ex√1 + e²x dx 1 + e²x dx d) πе*√1 + е²x dx e) None of the above
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