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 in². 3. The Centroid of the region has a y-coordinate of 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. in². in in4. in

Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Larry Jeffus
Chapter20: Shop Math And Weld Cost
Section: Chapter Questions
Problem 13R: Find the volume of the following: a. 5 cube b. 10 of 8 pipe
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I need question 6 and 7 

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
in².
3. The Centroid of the region has a y-coordinate of
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.
in².
in
in4.
in
Transcribed Image Text: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 in². 3. The Centroid of the region has a y-coordinate of 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. in². in in4. in
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