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Vector Calculus
Consider the following line integral, where C is the given space curve.
Undergraduate
Consider the following line integral, where C is the given space curve. C xeyz ds , C is the line segment from ( 0 ,
Consider the following line integral, where C is the given space curve.
C
xeyz ds
,
C is the line segment from
(
0
,
0
,
0
)
to
(
4
,
3
,
2
)
Use t as the parameter to write parametric equations for C where
0
t
1
starting at the point
(
0
,
0
,
0
)
.
x
=
4
t
y
=
3
t
z
=
2
t
Use t as a parameter of C to write an equivalent integral in only the variable t
.
C
xeyz ds
=
1
0
4
te
6
t
2
2
9
dt
Evaluate the line integral.
7
2
2
.
3
8
1
7
9
Step by Step Solution
1
Understanding Responsive Design Principles
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