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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![0
y = f(x)
b
X
Determine the truth of the following statement and why your reason is correct.
If R is rotated around the x-axis, then the volume of the resulting solid is given by V=
v=["x[f
n[f(x)]²dx
False. After rotating the region, the cross-section of the resulting solid will have a radius parallel to the x-axis so we need to write this function in terms of y before proceeding.
O True. After rotating the region, the cross-section of the resulting solid will be squares with side length f(x).
O True. Once we have rotated the region, the cross-section of the resulting solid will appear as discs with a radius perpendicular to the x-axis given by f(x).
O False. The endpoints of the integral should be flipped in order to guarantee the volume is positive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfd79b32-4de5-49e8-861a-3fd719d02c63%2F97858326-1076-4a27-a742-f5bbed7edf45%2Fddxi718_processed.png&w=3840&q=75)
Transcribed Image Text:0
y = f(x)
b
X
Determine the truth of the following statement and why your reason is correct.
If R is rotated around the x-axis, then the volume of the resulting solid is given by V=
v=["x[f
n[f(x)]²dx
False. After rotating the region, the cross-section of the resulting solid will have a radius parallel to the x-axis so we need to write this function in terms of y before proceeding.
O True. After rotating the region, the cross-section of the resulting solid will be squares with side length f(x).
O True. Once we have rotated the region, the cross-section of the resulting solid will appear as discs with a radius perpendicular to the x-axis given by f(x).
O False. The endpoints of the integral should be flipped in order to guarantee the volume is positive.
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