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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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(2, 5)
R
(0, 1)
consider the region "R" shown here.
It is bounded by the y-axis, the horizontal line y = 5, and the curve y = x² +1.
Transcribed Image Text:(2, 5) R (0, 1) consider the region "R" shown here. It is bounded by the y-axis, the horizontal line y = 5, and the curve y = x² +1.
Consider rotating "R" about the y-axis to form a solid of revolution.
When we integrate to find the volume of revolution, what will be the volume of a typical slice?
T (y – 1) · Ay
(v - 1)° – 25 - Ay
7(y² – 1)° . Ay
• T(y² – 5)² - Ay
Transcribed Image Text:Consider rotating "R" about the y-axis to form a solid of revolution. When we integrate to find the volume of revolution, what will be the volume of a typical slice? T (y – 1) · Ay (v - 1)° – 25 - Ay 7(y² – 1)° . Ay • T(y² – 5)² - Ay
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