Answered: 1. The Area of the region is 2. The…

1. The Area of the region is 2. The Centroid of the region has an x-coordinate of 3. The Centroid of the region has a y-coordinate of in². in. in.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 68E

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Question

Given:
The region bounded by:
y = (1/x)
y = (1-x)
x = 1/2
x = 4
NOTE: All Dimensions are inches, unless noted otherwise.
Find:
Using integration (manual hand calculations), calculate the values for the following problems.
You shall show all calculations needed to arrive at each answer.
Submitted responses shall be to 4 significant figures. Do NOT use scientific notation.
●
●
1. The Area of the region is
2. The Centroid of the region has an x-coordinate of
3. The Centroid of the region has a y-coordinate of
in².
4. The Area Moment of Inertia of the region about the x-axis is
5. The Area Moment of Inertia of the region about the y-axis is
6. The Area Moment of Inertia of the region about the centroidal x-axis is
7. The Area Moment of Inertia of the region about the centroidal y-axis is
in.
in.
inª.
in4.

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Step 1: Introduction of the given problem

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Step 2: Finding the area bounded

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Step 3: Finding the x co-ordinate of the centroid

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Step 4: Finding the y co-ordinate of the centroid

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