15. x² dA; R is the region bounded by y = 16/x, y = x, and x = 8.

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ISBN:9780470458365
Author:Erwin Kreyszig
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15-18 Evaluate the double integral in two ways using iterated
integrals: (a) viewing R as a type I region, and (b) viewing R as
a type II region.
15.
. || x² dA; R is the region bounded by y = 16/x, y = x,
R
and x = 8.
16.
|| xy² dA; R is the region enclosed by y = 1, y = 2,
R
x = 0, and y = x.
%3D
17.
(3x – 2y) dA; R is the region enclosed by the circle
x² + y² = 1.
18.
|| y dA; R is the region in the first quadrant enclosed
R
between the circle x² + y² = 25 and the line x + y = 5.
Transcribed Image Text:15-18 Evaluate the double integral in two ways using iterated integrals: (a) viewing R as a type I region, and (b) viewing R as a type II region. 15. . || x² dA; R is the region bounded by y = 16/x, y = x, R and x = 8. 16. || xy² dA; R is the region enclosed by y = 1, y = 2, R x = 0, and y = x. %3D 17. (3x – 2y) dA; R is the region enclosed by the circle x² + y² = 1. 18. || y dA; R is the region in the first quadrant enclosed R between the circle x² + y² = 25 and the line x + y = 5.
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