2. Find the volume of the region bounded by the curves y = x', y=1 from x- 0 to x =1 and rotating about the x-axis by (a) disk method and (b) shell method. y = x3 y = 1
2. Find the volume of the region bounded by the curves y = x', y=1 from x- 0 to x =1 and rotating about the x-axis by (a) disk method and (b) shell method. y = x3 y = 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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Question

Transcribed Image Text:1.
Find the area bounded by the parabola x= y? +2 and the line y =x- 8.
!!
11
-2
2.
Find the volume of the region bounded by the curves y= x, v=1 from x-0 to x=1 and
rotating about the x-axis by (a) disk method and (b) shell method.
y = x
y = 1
3.
Find the first four non-zero terms of Taylor series for cosx at x=
(Hints: sin 2x = 2sin x cos x)
2x
4.
Find a power series representation for
and determine the interval of convergence.
1+x-6x2
(Hint: use the fact that
1-x
dy
5.
Use integrating factor method to solve x+y = tan x.

Transcribed Image Text:2.
Find the volume of the region bounded by the curves y = x', y=1 from x=0 to x = 1 and
rotating about the x-axis by (a) disk method and (b) shell method.
%3D
y = x3
y = 1
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