(a) Graph the rotated region. region: y = -2x+2, = 0 (b) Identify the variable you're integrating with respect to (w.r.t.). (c) State the radius/radii (and height for shells). 3D and y=c (d) Set up the integral, and then find the volume. 1. Rotate: about the z-axis Method: Disks/Washers Variable w.r.t.: Radius: Area: Volume: 2. Rotate: about the z-axis Method: Shells Variable w.r.t.: Radius: Height: Volume:

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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Kindly note these are one question sub parts. The region is boxed in first pic.

3. Rotate: about the y-axis
Method: Disks/Washers or Shells (Circle one)
Variable w.r.t.:
Radius:
Area:
Volume:
4. Rotate: about x = 1
Method: Disks/Washers or Shells (Circle one)
Variable w.r.t.:
Radius:
Area:
Volume:
Transcribed Image Text:3. Rotate: about the y-axis Method: Disks/Washers or Shells (Circle one) Variable w.r.t.: Radius: Area: Volume: 4. Rotate: about x = 1 Method: Disks/Washers or Shells (Circle one) Variable w.r.t.: Radius: Area: Volume:
(a) Graph the rotated region.
region:
(b) Identify the variable you're integrating with respect to (w.r.t.).
= -2x+2, X= 0
(c) State the radius/radii (and height for shells).
and y =o
y =0
(d) Set up the integral, and then find the volume.
1. Rotate: about the x-axis
Method: Disks/Washers
Variable w.r.t.:
Radius:
Area:
Volume:
2. Rotate: about the x-axis
Method: Shells
Variable w.r.t.:
Radius:
Height:
Volume:
Transcribed Image Text:(a) Graph the rotated region. region: (b) Identify the variable you're integrating with respect to (w.r.t.). = -2x+2, X= 0 (c) State the radius/radii (and height for shells). and y =o y =0 (d) Set up the integral, and then find the volume. 1. Rotate: about the x-axis Method: Disks/Washers Variable w.r.t.: Radius: Area: Volume: 2. Rotate: about the x-axis Method: Shells Variable w.r.t.: Radius: Height: Volume:
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