Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the x-axis and the graph of y = 3sinx. The region S is bounded by the y-axis and the graphs of y = 3 - 2x and y = 3sinx. LO 5 4 3 y 2 S R 1 0 -1 22 Χ -1 0 1 2 3 4 5 6 Part A: Find the area of S. Part B: Find the volume of the solid generated when R is revolved about the x-axis. Part C: Write, but do not evaluate, an integral expression that can be used to find the volume of the solid when S is revolved about the x-axis.

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...
Question
Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the x-axis and the graph of y = 3sinx. The region S is bounded by the y-axis and the graphs of y = 3 - 2x and y = 3sinx.
LO
5
4
3
y
2
S
R
1
0
-1
22
Χ
-1 0
1
2
3
4
5 6
Part A: Find the area of S.
Part B: Find the volume of the solid generated when R is revolved about the x-axis.
Part C: Write, but do not evaluate, an integral expression that can be used to find the volume of the solid when S is revolved about the x-axis.
Transcribed Image Text:Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the x-axis and the graph of y = 3sinx. The region S is bounded by the y-axis and the graphs of y = 3 - 2x and y = 3sinx. LO 5 4 3 y 2 S R 1 0 -1 22 Χ -1 0 1 2 3 4 5 6 Part A: Find the area of S. Part B: Find the volume of the solid generated when R is revolved about the x-axis. Part C: Write, but do not evaluate, an integral expression that can be used to find the volume of the solid when S is revolved about the x-axis.
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