Let R be the region bounded by the curves y = √x, the line y = 1, and the y-axis. -1/2 1. Use the shell method to find the volume of the solid generated when Ris revolved about the line x = - Sketch the region Rand rotational axis clearly. Also, sketch the resulting figure as best as you can. 2. Use the disk/washer method to find the volume of the solid generated when Ris revolved about the line y 1. Sketch the region Rand rotational axis clearly. Also, sketch the resulting figure as best as you can.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let R be the region bounded by the curves
y = √x, the line y = 1, and the y-axis.
1. Use the shell method to find the volume of the solid
generated when Ris revolved about the line x = -12.
Sketch the region Rand rotational axis clearly. Also,
sketch the resulting figure as best as you can.
2. Use the disk/washer method to find the volume
of the solid generated when Ris revolved about
the line y = 1.Sketch the region Rand
rotational axis clearly. Also, sketch the resulting
figure as best as you can.
Transcribed Image Text:Let R be the region bounded by the curves y = √x, the line y = 1, and the y-axis. 1. Use the shell method to find the volume of the solid generated when Ris revolved about the line x = -12. Sketch the region Rand rotational axis clearly. Also, sketch the resulting figure as best as you can. 2. Use the disk/washer method to find the volume of the solid generated when Ris revolved about the line y = 1.Sketch the region Rand rotational axis clearly. Also, sketch the resulting figure as best as you can.
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