Arc Length With Vector Functions For problems 1 & 2 determine the length of the vector function on the given interval. 1. 7 (t) = (3 – 4t) i + 6t j – (9 + 2t) k from –6 St<8.
Arc Length With Vector Functions For problems 1 & 2 determine the length of the vector function on the given interval. 1. 7 (t) = (3 – 4t) i + 6t j – (9 + 2t) k from –6 St<8.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 61E
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![Arc Length With Vector Functions
For problems 1 & 2 determine the length of the vector function on the given interval.
1. ř (t) = (3 – 4t) i + 6t j – (9 + 2t) from –6 < t<8.
2. ř (t) = (t', 4t, v/2t²) from 0<t< 2.
For problems 3 & 4 find the arc length function for the given vector function.
3. ř (t) = (t, 2º°, 1 – t°)
4. F (t) = (4t, –2t, /3 t²)
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Transcribed Image Text:Arc Length With Vector Functions
For problems 1 & 2 determine the length of the vector function on the given interval.
1. ř (t) = (3 – 4t) i + 6t j – (9 + 2t) from –6 < t<8.
2. ř (t) = (t', 4t, v/2t²) from 0<t< 2.
For problems 3 & 4 find the arc length function for the given vector function.
3. ř (t) = (t, 2º°, 1 – t°)
4. F (t) = (4t, –2t, /3 t²)
%3D
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