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. 50. r ( t ) = 〈 cos t 2 , cos t 2 , sin t 〉 , 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. 50. r ( t ) = 〈 cos t 2 , cos t 2 , sin t 〉 , for 0 ≤ t ≤ 10
Solution Summary: The author explains that the curve r(t)=langle mathrmcos
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.
50.
r
(
t
)
=
〈
cos
t
2
,
cos
t
2
,
sin
t
〉
, 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).
State whether the following statement is true or false. Explain.
The range of y=tan(x) is (-infinty, +infinity)
The statement is: true/false because if (a,b) is a terminal point for an arc length x on the unit circle, then as x approaches: pi/2 + 2kpi / pi + kpi / pi/2 + kpi for any k, a approaches 0 and tan(x) approaches: 1 or -1 / infinity or -infinity
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY