Arc length parameterization Determine whether the following curves use arc length as a parameter. If not, find a description that uses arc length as a parameter. 42. r ( t ) = 〈 t 3 , t 3 , t 3 〉 , for 0 ≤ t ≤ 10
Arc length parameterization Determine whether the following curves use arc length as a parameter. If not, find a description that uses arc length as a parameter. 42. r ( t ) = 〈 t 3 , t 3 , t 3 〉 , for 0 ≤ t ≤ 10
Solution Summary: The author explains how the curve r(t) uses arc length as a parameter.
Arc length parameterizationDetermine whether the following curves use arc length as a parameter. If not, find a description that uses arc length as a parameter.
42.
r
(
t
)
=
〈
t
3
,
t
3
,
t
3
〉
, for 0 ≤ t ≤ 10
Qui Determine whether the following Curves
are
Yugular
1- Cos@ - Sin@
Sin @
Length of a line segment Consider the line segment joining thepoints P(x0, y0, z0) and Q(x1, y1, z1).a. Find a function r(t) for the segment PQ.b. Use the arc length formula to find the length of PQ.c. Use geometry (distance formula) to verify the result of part (b).
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