EXAMPLE 1(DISK METHOD) Find the volume of the solid generated by revolving about the x-axis,the region bounded by the parabola y=x^2 and the lines x=1 and x =2 v y=x² 4 V= π S²x² = = - [² 5 V= 2/1/² π QUESTION: 1. Sketch the graph and solve for the volume of the solid generated by revolving along the y-axis the function in Example 1 from the origin to x=2. X=1 x=2 x dx - 1

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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EXAMPLE 1(DISK METHOD)
Find the volume of the solid generated by revolving about the x-axis,the region bounded by the parabola y=x^2
and the lines x=1 and x =2
y=x²
K
2
4
V= πT S¹² x² dx
X=1 x=2
- * (€1')
=
5
1
25
[-]
5
5
V=
23/1
QUESTION:
1. Sketch the graph and solve for the volume of the solid generated by
revolving along the y-axis the function in Example 1 from the origin
to x=2.
=
مرة
2=
Transcribed Image Text:EXAMPLE 1(DISK METHOD) Find the volume of the solid generated by revolving about the x-axis,the region bounded by the parabola y=x^2 and the lines x=1 and x =2 y=x² K 2 4 V= πT S¹² x² dx X=1 x=2 - * (€1') = 5 1 25 [-] 5 5 V= 23/1 QUESTION: 1. Sketch the graph and solve for the volume of the solid generated by revolving along the y-axis the function in Example 1 from the origin to x=2. = مرة 2=
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