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Sketch the solid whose volume is given by the iterated integral. 1 (1-x (9 - 9z dy dz dx

Sketch the solid whose volume is given by the iterated integral. 1 (1-x (9 - 9z dy dz dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

a) The figure shows the region of integration for the integral.

6
 
0
36−x2
 
0
6−x f(x, y, z) dy dz dx
 
0


Rewrite this integral as an equivalent iterated integral in the five other orders. Assume 

y(x) = 6 − x

 and 

z(x) = 36 − x2

b) Sketch the solid whose volume is given by the iterated integral.

 
1
 
0
1− x
 
0
9 − 9z dy dz dx
 
0
 
The figure shows the region of integration for the integral. r6 36-x r6-x f(x, y, z) dy dz dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 – x and z(x) = 36 – x2. ) f(x, y, z) dy dx dz f(x, y, z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz f(x, y, z) dx dy dz + 36-z f(x, y, z) dx dz dy f(x, y, z) dx dz dy J12y-y
Transcribed Image Text:The figure shows the region of integration for the integral. r6 36-x r6-x f(x, y, z) dy dz dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 – x and z(x) = 36 – x2. ) f(x, y, z) dy dx dz f(x, y, z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz f(x, y, z) dx dy dz + 36-z f(x, y, z) dx dz dy f(x, y, z) dx dz dy J12y-y
Sketch the solid whose volume is given by the iterated integral. 1 (1-x (9 - 9z 1
Transcribed Image Text:Sketch the solid whose volume is given by the iterated integral. 1 (1-x (9 - 9z 1
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