Answered: I did not understand how the limits of…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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I did not understand how the limits of integration are got please explain. Please explain as to why the limits of integration for rho theta and r are taken like this using a proper graph in which the angles rho and theta are marked . I have attached the question too .Also please see to it that I receive a proper answer in which all words are there without overlapping . Thank you.

Evaluate
2dv where sü the Aolid
2.
2.
hemiphere

12:13
the solid hemisphere 2 + y² + z² < 9
and y 20
Spherical co-ordinate is
x =
r sin ø cos 0, y =rsin osin e and
z = r cos o
And dV = r² sin ødrd0dø
Hence, limit of integration is
Limit of r is 0 <r< 3
Limit of 0 is 0 <o<a
Limit of Ø is 0 <ø<T
Step2
b)
Hence,
Sls y²dV :
(r sin o sin 0)? (r² si
= LL|(-2 sin² ø sin²0) (r² sin øc
= r sin° osin? Odrd®e
3.
"pAdr sin³ osin? Odt
II

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