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Calculus
Multivariable Calculus
Find the area of the surface. The surface with parametric equations x
Undergraduate
Find the area of the surface. The surface with parametric equations x = u 2 , y = uv , z = 1 2 v
Find the area of the surface.
The surface with parametric equations
x
=
u
2
,
y
=
uv
,
z
=
1
2
v
2
,
0
u
4
,
0
v
5
.
Step
1
If the surface S has the vector function
r
(
u
,
v
)
with the parameter domain D
,
then the surface area can be found by
A
(
S
)
=
|
ru
rv
|
dA
.
D
The given surface has the vector function
r
(
u
,
v
)
=
,
,
.
Step by Step Solution
1
Understanding Responsive Design Principles
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