Question 2. Given the iterated triple integral 32-x2-y²x+y² dz dy dx. -4"-V-x2+16 Vx2+y2 a): Write the region of integration D in the rectangular coordinate system. Write the region of integration D in the cylindrical coordinate system. | Evaluate the integral I. b)I c): A- BI II !

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 2 Given the iterated triple integral
32-x2-y2
1= [°S°.
Vx²+y²dz dydx.
-x2+16"Vx2+y2
a) Write the region of integration D in the rectangular coordinate system.
b)I
Write the region of integration D in the cylindrical coordinate system.
c):
J Evaluate the integral I.
A BI d-
E E E E
Transcribed Image Text:Question 2 Given the iterated triple integral 32-x2-y2 1= [°S°. Vx²+y²dz dydx. -x2+16"Vx2+y2 a) Write the region of integration D in the rectangular coordinate system. b)I Write the region of integration D in the cylindrical coordinate system. c): J Evaluate the integral I. A BI d- E E E E
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