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In problems 11- 12, use shells to find the volume of the solid obtained by rotating the given region about the specified line. Sketch the region, the area to be rotated, and a typical rectangle. 6 y = V3x – 11 y = x - 3 у axis 11. y = x+2 12. y =x +x: 3 x axis

In problems 11- 12, use shells to find the volume of the solid obtained by rotating the given region about the specified line. Sketch the region, the area to be rotated, and a typical rectangle. 6 y = V3x – 11 y = x - 3 у axis 11. y = x+2 12. y =x +x: 3 x axis

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In problems 11 – 12, use shells to find the volume of the solid obtained by rotating the given region about the specified line. Sketch the region, the area to be rotated, and a typical rectangle. 6. 11. y = - y = \3x – 11 y = x – 3 у аxis 12. x+2 y =x+ -1 7 x axis
Transcribed Image Text:In problems 11 – 12, use shells to find the volume of the solid obtained by rotating the given region about the specified line. Sketch the region, the area to be rotated, and a typical rectangle. 6. 11. y = - y = \3x – 11 y = x – 3 у аxis 12. x+2 y =x+ -1 7 x axis
13. Set up the integral for finding the volume obtained by rotating the region between the curves 1 y = -x² y = 4x – 6 using the specified method and the line of rotation. y = x² 2. a. y = ÷x² b. y = 4x – 6 About y = -2 washers X. y = = 4x – 6 %3D About x = 9 washers y = x² y = x² с. d. y = 4x – 6 About y = -2 shells y = 4x – 6 About x = 9 - shells
Transcribed Image Text:13. Set up the integral for finding the volume obtained by rotating the region between the curves 1 y = -x² y = 4x – 6 using the specified method and the line of rotation. y = x² 2. a. y = ÷x² b. y = 4x – 6 About y = -2 washers X. y = = 4x – 6 %3D About x = 9 washers y = x² y = x² с. d. y = 4x – 6 About y = -2 shells y = 4x – 6 About x = 9 - shells
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