Show graph(with its strip and axis of rev.) and intersection points (Circular Disk):Horizontal Axis of Rev.:V = n sR(x)l° dxVertical Axis of Rev.:V = 1 " IR(y)]* dy(Circular ring):Horizontal Axis of Rev.:V = 11 S{[R(x)]² - [r(x)l*}dxVertical Axis of Rev.:V = 1 {[R(y)]* - [r(v)l"}dy(Cylindrical Shell):V = 21 ° rl dr Look for the volume of the solid produced by rotating the region enclosed by aboutx? – 2kx – 4ky + k? = 0 i%3!and 4x – 4y + k = 0 about the line x = -2k

Given curves are: x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

Answered: Look for the volume of the solid…

Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + k? = 04 and 4x - 4y + k = 0 about the line x = -2k

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Show graph(with its strip and axis of rev.) and intersection points

(Circular Disk):
Horizontal Axis of Rev.:
V = n sR(x)l° dx
Vertical Axis of Rev.:
V = 1 " IR(y)]* dy
(Circular ring):
Horizontal Axis of Rev.:
V = 11 S{[R(x)]² - [r(x)l*}dx
Vertical Axis of Rev.:
V = 1 {[R(y)]* - [r(v)l"}dy
(Cylindrical Shell):
V = 21 ° rl dr

Look for the volume of the solid produced by rotating the region enclosed by about
x? – 2kx – 4ky + k? = 0 i
%3!
and 4x – 4y + k = 0 about the line x = -2k

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