Rotate the region bounded by y = 2x² and y = x³ about the x-axis and determine the volume generated. Only set up the integral here. O Outer radius r=x³. Inner Radius R=2x². The functions inersect at x=0 and x=2. v=x*((x²) ²- (2x²) ³) dx 0 O Inner radius r=x³. Outer Radius R=2x2. The functions inersect at x=0 and x=2. ~S²((2x²) ² - (x²) ²) dx 0 V=R O Inner radius r=x3. Outer Radius R=2x2. The functions inersect at x=0 and x=2. + S² ((2x²) - (x ³)) ²dx 0 v=T O Inner radius r=x³. Outer Radius R=2x2. The functions inersect at x=0 and x=1. =S₁ ((2x²) ² - (x ³)²) dx 0 v=t O Outer radius r=x3. Inner Radius R=2x2. The functions inersect at x=0 and x=1. v=x["₁ ((x²) ²- (2x²) ²) dx V=R
Rotate the region bounded by y = 2x² and y = x³ about the x-axis and determine the volume generated. Only set up the integral here. O Outer radius r=x³. Inner Radius R=2x². The functions inersect at x=0 and x=2. v=x*((x²) ²- (2x²) ³) dx 0 O Inner radius r=x³. Outer Radius R=2x2. The functions inersect at x=0 and x=2. ~S²((2x²) ² - (x²) ²) dx 0 V=R O Inner radius r=x3. Outer Radius R=2x2. The functions inersect at x=0 and x=2. + S² ((2x²) - (x ³)) ²dx 0 v=T O Inner radius r=x³. Outer Radius R=2x2. The functions inersect at x=0 and x=1. =S₁ ((2x²) ² - (x ³)²) dx 0 v=t O Outer radius r=x3. Inner Radius R=2x2. The functions inersect at x=0 and x=1. v=x["₁ ((x²) ²- (2x²) ²) dx V=R
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Rotate the region bounded by y = 2x² and y = x³ about the x-axis and determine the volume generated. Only set up the integral here.
O Outer radius r=x³. Inner Radius R=2x2. The functions inersect at x=0 and x=2.
V=T
2
S² ((x ³)² – ( 2x³²) ²) dx
0
O Inner radius r=x³. Outer Radius R=2x²2. The functions inersect at x=0 and x=2.
-= = S²((2x²) ² - (x²³) ²) dix
V=T
O Inner radius r=x³. Outer Radius R=2x². The functions inersect at x=0 and x=2.
v=x^²((2x²) — (x¹)) ²dx
O Inner radius r=x3. Outer Radius R=2x2. The functions inersect at x=0 and x=1.
1
-= = ['((2x²) ² - (x²) ²) dx
V=T
O Outer radius r=x³. Inner Radius R=2x². The functions inersect at x=0 and x=1.
1
= * S *^((x²³) ² - (2x²) ²2) dx
V=T
0
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