19. Finding volume The region between the x-axis and the curve So, y = f(x) = lx In x, 0 < x< 2 is revolved about the x-axis to generate the solid shown here. a. Show that f is continuous at x = 0. b. Find the volume of the solid. y = x In x 2.

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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19. Finding volume
The region between the x-axis and the curve
So,
y = f(x) =
lx In x,
0 < x< 2
is revolved about the x-axis to generate the solid shown here.
a. Show that f is continuous at x = 0.
b. Find the volume of the solid.
y = x In x
2.
Transcribed Image Text:19. Finding volume The region between the x-axis and the curve So, y = f(x) = lx In x, 0 < x< 2 is revolved about the x-axis to generate the solid shown here. a. Show that f is continuous at x = 0. b. Find the volume of the solid. y = x In x 2.
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