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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax ISBN: 9781938168079 2033

Solution for problem 326 Chapter 5.6

Calculus Volume 3 | 1st Edition

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Calculus Volume 3 | 1st Edition | ISBN: 9781938168079 | Authors: Openstax

Calculus Volume 3 | 1st Edition

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Problem 326

In the following exercises, consider a lamina occupying the region R and having the density function \(\rho\) given in the first two groups of Exercises.

a. Find the moments of inertia \(I_{x}\), \(I_{y}\), and \(I_{0}\) about the x-axis, y-axis, and origin, respectively.

b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively.

R is the trapezoidal region determined by the lines y = 0, y = 1, y = x, and y = −x + 3; \(\rho(x, y)=2 x+y\).

Text Transcription:

rho

I_x

I_y

I_0

rho(x, y)=2x+y

Step-by-Step Solution:
Step 1 of 3

General Biology­ Week 3 9/9/2015 (Short week) Jennifer Apodaca Chemical Basis of Life (Cont.) G. Water is Important to Nutrition and has many functions in the body 1. gives nutrients 2. get rid of waste 3. maintain good blood pressure with many cellular activities 4. gives oxygen and other nutrients to other parts of the body 5. keeps the body cool when you sweat H. Humans lose 3 L of water every day with seating an elimination, such as urination 1. We have to drink water and eat food with high water content to replace the water we lose 2. Acute Dehydration (too little water) can cause cramps in muscles, fatigue, headache, dizziness, nausea, confusion, palpitations (fast heart beat) 3. Chronic Dehydration can cause: hallucinations, heat stroke, and even death ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ I. Acid Based reactions and pH A. Proton (hydrogen ion (H+)] concentration is the basis of the pH scale, which is usually between 0­14. pH expresses proton concentration is a solution B. Pure water has a pH of 7, which is neutral 1. Acid​ ­ pH is less than 7 2. Base­ pH is more than 7 C. In

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Chapter 5.6, Problem 326 is Solved
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Textbook: Calculus Volume 3
Edition: 1
Author: Openstax
ISBN: 9781938168079

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