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. 12. 11. y = 6 x+2 y = = x + ² 3 x axis y = √3x - 11 y=x-3 y axis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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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.
11.
6
x+2
==x+²
3
y =
y =
x axis
12.
y = √√3x - 11
y=x-3
y 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. 11. 6 x+2 ==x+² 3 y = y = x axis 12. y = √√3x - 11 y=x-3 y axis
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