Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 14 y = x2; about the x-axis V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 2 -2 -1 1. -0.5 -0.5 -1.0F -1.0 y y 1.5 2.5 2.0 1.0 1.0 0,5 -2 -2 -1 1 2 -0.5 -0.5 -1.0 -1.0 Sketch the solid, and a typical disk or washer. y -2 -1 -1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 2x2, y =
= 14 -
9
– x2; about the x-axis
9
V =
Sketch the region.
y
y
2.5
1.5
2.0
1.0
1.0
0.5
-2
1
2
-2
-1
1
-0.5
-0.5
-1.0f
-1.0F
y
y
1.5
2.5
2.0
1.0
1.5
1.0
0.5
-2
-1
1
2
-2
-1
1
2
-0.5
-0.5
-1.0H
1.0F
Sketch the solid, and a typical disk or washer.
y
y
2
-2
-1
-2
-1
1
2
-1
2
-2-
y
y
1.5
2-
1.0
1
0.5
X
-1.5
-1.0
0.5
0.5
1.0
1.5
-2
2
-0.5
-1.0
-2
-1.5|
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2x2, y = = 14 - 9 – x2; about the x-axis 9 V = Sketch the region. y y 2.5 1.5 2.0 1.0 1.0 0.5 -2 1 2 -2 -1 1 -0.5 -0.5 -1.0f -1.0F y y 1.5 2.5 2.0 1.0 1.5 1.0 0.5 -2 -1 1 2 -2 -1 1 2 -0.5 -0.5 -1.0H 1.0F Sketch the solid, and a typical disk or washer. y y 2 -2 -1 -2 -1 1 2 -1 2 -2- y y 1.5 2- 1.0 1 0.5 X -1.5 -1.0 0.5 0.5 1.0 1.5 -2 2 -0.5 -1.0 -2 -1.5|
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