>) Find the length of the curve x== ² + y²² from y=1 to y = 4.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 18E
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answer part b

(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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