6) Use cylindrical shell's method to set up the integral that finds the volume of the solid obtained by rotating the region bounded by y = ln(r), z = e" and y = 0 about the line y = 7 (7- y) (e² - e³) dy (7-y) (e" - e³) dy (A) 2 (C) 2 (E) 2xy(e² - e") dy (B) 2π (D) 2 (y-7)(e³ - e") dy (7- y) (e² - e¹) dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please solve a, b and c

6) Use cylindrical shell's method to set up the integral that finds the volume of the
0 about
solid obtained by rotating the region bounded by y = ln(r), z = e5 and y =
the line y = 7
27 (7- y) (e² - e") dy
(A) 2
(C) 2
(7- y) (e* - e²) dy
(E) 2 y(e-e") dy
fye
(B) 2π
(D) 27
(y-7)(e² - e") dy
(7- y) (e² - e¹) dy
Transcribed Image Text:6) Use cylindrical shell's method to set up the integral that finds the volume of the 0 about solid obtained by rotating the region bounded by y = ln(r), z = e5 and y = the line y = 7 27 (7- y) (e² - e") dy (A) 2 (C) 2 (7- y) (e* - e²) dy (E) 2 y(e-e") dy fye (B) 2π (D) 27 (y-7)(e² - e") dy (7- y) (e² - e¹) dy
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