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5. a) Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating y = sin(2x),0 ≤ x ≤ about the x-axis using, i) ds = ii) ds = + dx dx dy dx dy b) Find the surface area of the object obtained by rotating y = 4-x, 1 ≤x≤6 about the y-axis.

5. a) Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating y = sin(2x),0 ≤ x ≤ about the x-axis using, i) ds = ii) ds = + dx dx dy dx dy b) Find the surface area of the object obtained by rotating y = 4-x, 1 ≤x≤6 about the y-axis.

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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5. a) Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating y = sin(2x),0 ≤ x ≤about the x-axis using, i) ds = 1+ dy dx dx +++ ii) ds = 1 + dx dy b) Find the surface area of the object obtained by rotating y = 4-x,1 ≤ x ≤ 6 about the y-axis.
Transcribed Image Text:5. a) Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating y = sin(2x),0 ≤ x ≤about the x-axis using, i) ds = 1+ dy dx dx +++ ii) ds = 1 + dx dy b) Find the surface area of the object obtained by rotating y = 4-x,1 ≤ x ≤ 6 about the y-axis.
6. Find the volume of the solid that results when the shaded region is revolved about the indicate axis. kit y = √cos x KN
Transcribed Image Text:6. Find the volume of the solid that results when the shaded region is revolved about the indicate axis. kit y = √cos x KN
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