Find the area of the surface generated by revolving the curve, x = /6y – y? ; 2sys 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q4(a) Find the area of the surface generated by revolving the curve,
x = V6y – y2 ;
2 <y< 5
(b) Find the image of the semi-infinite strip x > 0,2 < y < 6 in the
z – plane under the transformation (i) w = z + 3i (ii) iz + 2i.
(c) Find the volume of the solid generated by revolving the region
enclosed
by
the
triangle
with
vertices
as
(5, 0), (5,4)аnd (9,4) about the Ү — ахis.
|
Transcribed Image Text:Q4(a) Find the area of the surface generated by revolving the curve, x = V6y – y2 ; 2 <y< 5 (b) Find the image of the semi-infinite strip x > 0,2 < y < 6 in the z – plane under the transformation (i) w = z + 3i (ii) iz + 2i. (c) Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices as (5, 0), (5,4)аnd (9,4) about the Ү — ахis. |
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