The graph of a function f and the line y shaded region. 3 are shown in the plot below. Consider the y = 3 -1 1 For each of the following, (i) give a rough sketch of the solid formed by rotating around the given axis (not on the plot above) with a typical cross-section shown and (ii) determine if it would be best to integrate with respect to x or y. (a) Rotate around x = -2. (b) Rotate around y = -1. (c) Rotate around x = = 2. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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The graph of a function f and the line y
shaded region.
3 are shown in the plot below. Consider the
y = 3
-1
1
For each of the following,
(i) give a rough sketch of the solid formed by rotating around the given axis (not on the
plot above) with a typical cross-section shown and
(ii) determine if it would be best to integrate with respect to x or y.
(a) Rotate around x = -2.
(b) Rotate around y = -1.
(c) Rotate around x =
= 2.
2.
Transcribed Image Text:The graph of a function f and the line y shaded region. 3 are shown in the plot below. Consider the y = 3 -1 1 For each of the following, (i) give a rough sketch of the solid formed by rotating around the given axis (not on the plot above) with a typical cross-section shown and (ii) determine if it would be best to integrate with respect to x or y. (a) Rotate around x = -2. (b) Rotate around y = -1. (c) Rotate around x = = 2. 2.
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