Consider the region R bounded by the curves y = x² and x = y². Which of the following expressions computes the volume of the solid obtained by rotating R abuot the line x = = 2? 1 [² (2π (2 - x)(√x - x²) ²) da 1 [²π ((2 - y²)² – (2 — √T)²) dy ㅠ 1 π ((2 − (y² – √y)²)) dy - 1 2π (2 + x)(√x − x²) dx 1 [ ²π ((2 + y²)² − (2 + √ÿ)²) dy
Consider the region R bounded by the curves y = x² and x = y². Which of the following expressions computes the volume of the solid obtained by rotating R abuot the line x = = 2? 1 [² (2π (2 - x)(√x - x²) ²) da 1 [²π ((2 - y²)² – (2 — √T)²) dy ㅠ 1 π ((2 − (y² – √y)²)) dy - 1 2π (2 + x)(√x − x²) dx 1 [ ²π ((2 + y²)² − (2 + √ÿ)²) dy
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:Consider the region R bounded by the curves y = x² and ï = y².
Which of the following expressions computes the volume of the solid
obtained by rotating Rabuot the line x = 2?
1
[² (2π (2 - x)(√x - x²)²) dx
1
1
["'*
S
ㅠ
1
π
((2 − y²)² – (2 — √ÿy)²) dy
Si
((2 − (y² — √ÿ)²)) dy
2π (2 + x)(√x − x²) dx
1
["₁x
π ((2 + y²) ² − (2 + √y)²) dy
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