Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by, y = 36 - (x – 6)² ; 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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I want the answer for Q4
Q3 By sketching the graph, find the volume of the solid generated by
revolving the region bounded by the parabola, x = y2 +4 and the
straight line x = 3y +14 about the y- axis.
Q4 By Sketching the graph, find the volume of the solid generated by
revolving the region given by,
y = 36 - (x - 6)² ; 1<y<4
about the x
axis.
Q5 The imaginary part of the complex function f(z) is,
v(x,y) == x* – 6x²y² + y*
-
(i)
Prove that v(x, y) is harmonic.
(ii)
Find the harmonic conjugate function u(x,y).
Transcribed Image Text:Q3 By sketching the graph, find the volume of the solid generated by revolving the region bounded by the parabola, x = y2 +4 and the straight line x = 3y +14 about the y- axis. Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by, y = 36 - (x - 6)² ; 1<y<4 about the x axis. Q5 The imaginary part of the complex function f(z) is, v(x,y) == x* – 6x²y² + y* - (i) Prove that v(x, y) is harmonic. (ii) Find the harmonic conjugate function u(x,y).
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