Sketch the region R whose area is given by the iterated integral. * 64 – y² dx dy 60- 50- 40- 30- 20 2- 10- -4 -2 0 2 4 6 4. 6- 21 10 20 30 40 50 60 Change the order of integration and show that both orders yield the same area. *64 – y2 dx dy = dy dx = Jo 64 - x 2. 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Sketch the region R whose area is given by the iterated integral.
64 - y2
dx dy
60-
50-
6-
40-
y
30-
20
2-
10-
6
-4
2
4
6
8
-8
-6
-4
-2
4
6
X
6.
6-
y
4
4
2-
10
20
30
40
50
60
6
-2-
-2
-6
-8
Change the order of integration and show that both orders yield the same area.
8.
64 -
dx dy =
dy dx =
Jo
64 - x
2.
2.
Transcribed Image Text:Sketch the region R whose area is given by the iterated integral. 64 - y2 dx dy 60- 50- 6- 40- y 30- 20 2- 10- 6 -4 2 4 6 8 -8 -6 -4 -2 4 6 X 6. 6- y 4 4 2- 10 20 30 40 50 60 6 -2- -2 -6 -8 Change the order of integration and show that both orders yield the same area. 8. 64 - dx dy = dy dx = Jo 64 - x 2. 2.
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