51-56. Volumes with infinite integrands Find the volume of the de- scribed solid of revolution or state that it does not exist. 51. The region bounded by f(x) = (x – 1)-1/4 and the x-axis on the interval (1, 2] is revolved about the 1-axis. %3D 52. The region bounded by f(x) = (x² –- 1)-1/4 and the 1-axis on the interval (1, 2] is revolved about the y-axis. 53. The region bounded by f(x) = (4 – x)-1/3 and the x-axis on the interval [0, 4) is revolved about the y-axis. 54. The region bounded by f(x) = (x + 1)-3/2 and the x-axis on the interval (-1, 1] is revolved about the line y = -1. 55. The region bounded by f(x) = tan x and the x-axis on the inter- val [0, 7/2) is revolved about the x-axis. 56. The region bounded by f(x) = -In x and the x-axis on the inter- val (0, 1] is revolved about the x-axis.
51-56. Volumes with infinite integrands Find the volume of the de- scribed solid of revolution or state that it does not exist. 51. The region bounded by f(x) = (x – 1)-1/4 and the x-axis on the interval (1, 2] is revolved about the 1-axis. %3D 52. The region bounded by f(x) = (x² –- 1)-1/4 and the 1-axis on the interval (1, 2] is revolved about the y-axis. 53. The region bounded by f(x) = (4 – x)-1/3 and the x-axis on the interval [0, 4) is revolved about the y-axis. 54. The region bounded by f(x) = (x + 1)-3/2 and the x-axis on the interval (-1, 1] is revolved about the line y = -1. 55. The region bounded by f(x) = tan x and the x-axis on the inter- val [0, 7/2) is revolved about the x-axis. 56. The region bounded by f(x) = -In x and the x-axis on the inter- val (0, 1] is revolved about the x-axis.
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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Question
![51-56. Volumes with infinite integrands Find the volume of the de-
scribed solid of revolution or state that it does not exist.
51. The region bounded by f(x) = (x – 1)-1/4 and the x-axis on the
interval (1, 2] is revolved about the 1-axis.
%3D
52. The region bounded by f(x) = (x² –- 1)-1/4 and the 1-axis on
the interval (1, 2] is revolved about the y-axis.
53. The region bounded by f(x) = (4 – x)-1/3 and the x-axis on the
interval [0, 4) is revolved about the y-axis.
54. The region bounded by f(x) = (x + 1)-3/2 and the x-axis on the
interval (-1, 1] is revolved about the line y = -1.
55. The region bounded by f(x) = tan x and the x-axis on the inter-
val [0, 7/2) is revolved about the x-axis.
56. The region bounded by f(x) = -In x and the x-axis on the inter-
val (0, 1] is revolved about the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa26caf7e-0003-492e-ad2a-992e25fd2abf%2F03f7244a-2083-485b-b8aa-b3528933ded0%2F74z2qac_processed.png&w=3840&q=75)
Transcribed Image Text:51-56. Volumes with infinite integrands Find the volume of the de-
scribed solid of revolution or state that it does not exist.
51. The region bounded by f(x) = (x – 1)-1/4 and the x-axis on the
interval (1, 2] is revolved about the 1-axis.
%3D
52. The region bounded by f(x) = (x² –- 1)-1/4 and the 1-axis on
the interval (1, 2] is revolved about the y-axis.
53. The region bounded by f(x) = (4 – x)-1/3 and the x-axis on the
interval [0, 4) is revolved about the y-axis.
54. The region bounded by f(x) = (x + 1)-3/2 and the x-axis on the
interval (-1, 1] is revolved about the line y = -1.
55. The region bounded by f(x) = tan x and the x-axis on the inter-
val [0, 7/2) is revolved about the x-axis.
56. The region bounded by f(x) = -In x and the x-axis on the inter-
val (0, 1] is revolved about the x-axis.
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