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=
4t
y=
3t
z=
2t
Use t as a parameter of C to write an equivalent integral in only the variable t.
C
xeyz ds =
10
4te6t229
dt
Evaluate the line integral.
722.38179

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