Let r(t) w tv be a parametrization of a line (a) Show that the arc length function s(1) 1r (1) du is given by s(1) t v This shows that r(t) is an arc length parametrizaton if and only if v is a unit vector (b) Find an arc length parametrization of the line with w (1,2,3) and v (3,4,5) ...

a Since rt w tv then r t v and r t v Then computing st we get S S ...

Let r(t) = w + tv be a parametrization of a line. (a) Show that the arc

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Let r(t) = w + tv be a parametrization of a line.

(a) Show that the arc length function s(1) = || (1) du is given by s(1): t|lv|. This shows that r(t) is an

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Calculus

ISBN: 9781319055844

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 15, 2024 08:00 AM

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Let r(t) = w + tv be a parametrization of a line. (a) Show that the arc

Question:

(a) Show that the arc length function s(1) = [[|1r (1) du is given by s(1): t||v||. This shows that r(t) is an arc length parametrizaton if and only if v is a unit vector. (b) Find an arc length parametrization of the line with w = (1,2,3) and v = (3,4,5).

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a Since rt w tv then r t v and r t v Then computing st we get S S ...View the full answer

Calculus

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