Love L-7√ √7ª² + y² + 2² dz dy dz. (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral. Consider the integral (b) Find the value of the given integral by converting this integral into an iterated triple inte gral in spherical coordinates and evaluating the resulting integral. Any expression that is a trigonometric function value of the inverse tangent of a real number has to be evaluated.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Find letter B

Consider the integral
"LLNET
√7ª² + y² + 2² dz dy dz.
(a) Convert the given integral into an iterated triple integral in cylindrical coordinates.
Do not evaluate the resulting integral.
(b) Find the value of the given integral by converting this integral into an iterated triple inte
gral in spherical coordinates and evaluating the resulting integral. Any expression that is a
trigonometric function value of the inverse tangent of a real number has to be evaluated.
Transcribed Image Text:Consider the integral "LLNET √7ª² + y² + 2² dz dy dz. (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral. (b) Find the value of the given integral by converting this integral into an iterated triple inte gral in spherical coordinates and evaluating the resulting integral. Any expression that is a trigonometric function value of the inverse tangent of a real number has to be evaluated.
өрер гр ч2+че ре
(025
(-J,
Ja2+z2
Z=Z
ор ер гро я
40 ≤ 2п
25 бето
S
=2
2-6г 2
че с
=
8-0
f
з
√x² + y² + z ²
x² +y2
0=37
2П
кр вр гр
' ouse=h одоо я =x
II
H
Transcribed Image Text:өрер гр ч2+че ре (025 (-J, Ja2+z2 Z=Z ор ер гро я 40 ≤ 2п 25 бето S =2 2-6г 2 че с = 8-0 f з √x² + y² + z ² x² +y2 0=37 2П кр вр гр ' ouse=h одоо я =x II H
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