] Given the iterated triple integral -x²+9 [18=x²-y x2+y² dz dydx. 18 -x2-y2 Vx² +y² dz dy dx. I = -30 x2+y2 a) ; ] Write the region of integration D in the rectangular coordinate system. Write the region of integration D in b). the cylindrical coordinate system. c) |Evaluate the integral I.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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] Given the iterated triple integral
-x2+9
18-x2-y2
I =
x² +y² dz dy dx.
,2
-30
Vx2+y2
a) ;
] Write the region of integration D in
the rectangular coordinate system.
|Write the region of integration D in
b).
the cylindrical coordinate system.
c)
|Evaluate the integral I.
Transcribed Image Text:] Given the iterated triple integral -x2+9 18-x2-y2 I = x² +y² dz dy dx. ,2 -30 Vx2+y2 a) ; ] Write the region of integration D in the rectangular coordinate system. |Write the region of integration D in b). the cylindrical coordinate system. c) |Evaluate the integral I.
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