Use the transformation u = x , υ = z − y , w = x y to find ∭ G z − y 2 x y d V where G is the region enclosed by the surfaces x = 1 , x = 3 , z = y + 1 , x y = 2 , x y = 4.
Use the transformation u = x , υ = z − y , w = x y to find ∭ G z − y 2 x y d V where G is the region enclosed by the surfaces x = 1 , x = 3 , z = y + 1 , x y = 2 , x y = 4.
Use the transformation
u
=
x
,
υ
=
z
−
y
,
w
=
x
y
to find
∭
G
z
−
y
2
x
y
d
V
where G is the region enclosed by the surfaces
x
=
1
,
x
=
3
,
z
=
y
+
1
,
x
y
=
2
,
x
y
=
4.
Decide whether each limit exists. If a limit exists, estimate its
value.
11. (a) lim f(x)
x-3
f(x) ↑
4
3-
2+
(b) lim f(x)
x―0
-2
0
X
1234
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
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