Which of the following gives the volume of the solid obtained by rotating the region R about the x-axis? (a) √² S₁²=(2²+² π(2 + x − x²)²dx (c) [²2 2π(2 + x - x²) dx y + 2 (d) [²² 2π (2x + x²x³) dx 2.25 9 12²³ - (√²- 4 2 121) dy

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...
Question
Consider the region R bounded by y = 2 + x - x^2 on the first quadrant.
41
(0.2)
(0.5, 2.25)
이 (0.0)
-2
2
(2.0)
4
Transcribed Image Text:41 (0.2) (0.5, 2.25) 이 (0.0) -2 2 (2.0) 4
Which of the following gives the volume of the solid obtained by rotating the region R about the
x-axis?
(a)
[²π(
π(2 + x - x²) ²dx
(Ⓒ) ² 2π (2 + x - x²) dx
2
2.25
9
(15) L - ( √ ² - x + 1) +
ㅠ
y
dy
(4¹) [² 2π (2x + x² − x³) dx
Transcribed Image Text:Which of the following gives the volume of the solid obtained by rotating the region R about the x-axis? (a) [²π( π(2 + x - x²) ²dx (Ⓒ) ² 2π (2 + x - x²) dx 2 2.25 9 (15) L - ( √ ² - x + 1) + ㅠ y dy (4¹) [² 2π (2x + x² − x³) dx
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