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(a) Find the volume of the solid obtained when the region enclosed by the curves x=√1+y, x=0 and y=3 is revolved about the y-axis. (b) Find the length of the curve x = (c) Find dy dx 3 (i) v=sinh (2x) 1 from y=1 to y = 4. (ii) y = ln (cosh¹ x) ||- 2009 2

(a) Find the volume of the solid obtained when the region enclosed by the curves x=√1+y, x=0 and y=3 is revolved about the y-axis. (b) Find the length of the curve x = (c) Find dy dx 3 (i) v=sinh (2x) 1 from y=1 to y = 4. (ii) y = ln (cosh¹ x) ||- 2009 2

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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(a) Find the volume of the solid obtained when the region enclosed by the curves 1+y₂ x=0 and y=3 x= is revolved about the y-axis. (b) Find the length of the curve x = (c) Find dy (i) y=sinh (2x) y from y=1 to y = 4. (ii) y = ln (cosh™¹x)
Transcribed Image Text:(a) Find the volume of the solid obtained when the region enclosed by the curves 1+y₂ x=0 and y=3 x= is revolved about the y-axis. (b) Find the length of the curve x = (c) Find dy (i) y=sinh (2x) y from y=1 to y = 4. (ii) y = ln (cosh™¹x)
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