Use the transformation u = y / x , υ = x y to find ∬ R x y 3 d A over the region R in the first quadrant enclosed by y = x , y = 3 x , x y = 1 , x y = 4.
Use the transformation u = y / x , υ = x y to find ∬ R x y 3 d A over the region R in the first quadrant enclosed by y = x , y = 3 x , x y = 1 , x y = 4.
Use the transformation
u
=
y
/
x
,
υ
=
x
y
to find
∬
R
x
y
3
d
A
over the region R in the first quadrant enclosed by
y
=
x
,
y
=
3
x
,
x
y
=
1
,
x
y
=
4.
Evaluate // xye-(x-+y") dA where D is the region between the two circles x2 + y² = 1 and x2 + y² = 9 in the first
D
quadrant.
c) Evaluate the line integral (x+2y)dx-2xdy along
the following closed path, the circle x+ y= 25, taken
%3D
counterclockwise
Use
the map G(u, v) = (v1)
a = 4, b = 8, c = 6.
b
a
y=cx
UD
v+1
Ø₂ (x +
(x + y) dx dy =
to compute (x + y) dx dy, where D is the shaded region in the figure. Assum-
y=x
X
(Use decimal notation. Give your answer to three decimal places.)
Precalculus: Mathematics for Calculus - 6th Edition
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