(a) Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P , and (b) find the point 4 units along the curve (in the direction of increasing t ) from P . r ( t ) = e t sin t i + e t cos t j + 2 e t k , P ( 0 , 1 , 2 )
(a) Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P , and (b) find the point 4 units along the curve (in the direction of increasing t ) from P . r ( t ) = e t sin t i + e t cos t j + 2 e t k , P ( 0 , 1 , 2 )
Solution Summary: The author explains how to find the length of the function for the curve, and then reparametrize it with respect to the arc length.
(a) Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P, and (b) find the point 4 units along the curve (in the direction of increasing t) from P.
r
(
t
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=
e
t
sin
t
i
+
e
t
cos
t
j
+
2
e
t
k
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P
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0
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Find the point on the curve r(t) = (5 sin t)i + (-5 cos t)j- 12tk at a distance 26 units along the curve from the point (0, -5,0) in the direction of increasing arc length.
Find the point on the curver(t) = (12 sin t)i - (12 cos t)j + 5t k at a distance 13p units along the curve from the point (0, -12, 0) in the direction opposite to the direction of increasing arc length.
Find the point on the curve r(t) = (5 sin t)i + (-5 cos t)j- 12tk at a distance 13 units along the curve from the point (0, -5,0) in the direction
of increasing arc length.
The point is (..
(Type exact answers, using as needed.)
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY