Find the area between f(x)=1/x and the x-axis for 1≤x≤10, 1≤ x ≤100, and Is x ≤A. What is the limit of the area for 1≤x≤A as A→∞0? Find the volume swept out when the region in part (a) is revolved about the x-axis for 1≤ x ≤10, 1≤x≤100, and 1≤ x ≤A. What is the limit of the volumes for 1≤ x ≤A as A →∞ ?

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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1.
(a) Find the area between f(x) = 1/x and the x-axis for 1sx≤10, 1s≤ x ≤100, and
I≤ x ≤A. What is the limit of the area for 1≤x≤A as A →∞ ?
(b) Find the volume swept out when the region in part (a) is revolved about the
x-axis for 1≤ x ≤10, 1≤x≤100, and 1≤x≤A. What is the limit of the volumes for 1sx sA
as A →∞ ?
Transcribed Image Text:1. (a) Find the area between f(x) = 1/x and the x-axis for 1sx≤10, 1s≤ x ≤100, and I≤ x ≤A. What is the limit of the area for 1≤x≤A as A →∞ ? (b) Find the volume swept out when the region in part (a) is revolved about the x-axis for 1≤ x ≤10, 1≤x≤100, and 1≤x≤A. What is the limit of the volumes for 1sx sA as A →∞ ?
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