Consider the region bounded by y = ln(x-1), y=2-x and x = 4 (see the figure on the right). a. Setup the integral that gives the are of the region using i. vertical strips; and ii. horizontal strips. b. Using indicated strips, setup the integral that gives the volume of the solid formed when the region is revolved about the given AOR. i. horizontal strips; AOR: x = 5 ii. vertical strips; AOR: y = -3 -2 Setup the integrals that give the centroid of the region in item #2 using x as the variable of integration.

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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2.
3.
Consider the region bounded by y=ln(x-1),
y=2-x and x = 4 (see the figure on the right).
a. Setup the integral that gives the are of the region
using
i. vertical strips; and
horizontal strips.
ii.
b. Using indicated strips, setup the integral that
gives the volume of the solid formed when the
region is revolved about the given AOR.
i. horizontal strips; AOR: x = 5
ii. vertical strips; AOR: y = −3
2
-2
Setup the integrals that give the centroid of the region in item #2 using x as the
variable of integration.
ANSWER NO. 3 ONLY
Transcribed Image Text:2. 3. Consider the region bounded by y=ln(x-1), y=2-x and x = 4 (see the figure on the right). a. Setup the integral that gives the are of the region using i. vertical strips; and horizontal strips. ii. b. Using indicated strips, setup the integral that gives the volume of the solid formed when the region is revolved about the given AOR. i. horizontal strips; AOR: x = 5 ii. vertical strips; AOR: y = −3 2 -2 Setup the integrals that give the centroid of the region in item #2 using x as the variable of integration. ANSWER NO. 3 ONLY
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