Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals. D (a) [f f(x, y) dA= A-1 A= B= C= D= (b) ff f(x, y) dA= E= F= - 131² f(x,y) dy dx G= H= F [] [ f(x, y) da dy -3 -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose R is the shaded region in the figure, and ƒ(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals.
B D
(a) ff ƒ(x,y) dA = [² f (x, y) dy da
R
A= |
B=
C=
D=
(b) ff f(x,y) da
-
R
E=
F=
G=
H=
F H
[ [² f(x,y)
f(x, y) dx dy
E G
J
4
3
2
1-
-1
-2
-3
T
T
-3
-2
-1
y
1
2
3
4
X
Transcribed Image Text:Suppose R is the shaded region in the figure, and ƒ(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals. B D (a) ff ƒ(x,y) dA = [² f (x, y) dy da R A= | B= C= D= (b) ff f(x,y) da - R E= F= G= H= F H [ [² f(x,y) f(x, y) dx dy E G J 4 3 2 1- -1 -2 -3 T T -3 -2 -1 y 1 2 3 4 X
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