Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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(3) For each region shown below, decide whether to use polar coordinates or rectangular
J₁² f dA as an iterated integral, where f is an arbitrary
dxdy = rdrdo, and f(x, y) =
coordinates and write
continuous function on R. Remember that dA
f(r cos(8), r sin(0)).
(a)
(b)
-1
4
1
4
y=1-x²
1
X
X
(c)
(d)
=
-1
y
1.
0
6
1
X
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Transcribed Image Text:(3) For each region shown below, decide whether to use polar coordinates or rectangular J₁² f dA as an iterated integral, where f is an arbitrary dxdy = rdrdo, and f(x, y) = coordinates and write continuous function on R. Remember that dA f(r cos(8), r sin(0)). (a) (b) -1 4 1 4 y=1-x² 1 X X (c) (d) = -1 y 1. 0 6 1 X
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