ConsidertheVcctor function1,a.) Find theもこ0urc leng th of rle) fromt=しtob.) Find thecurvatore a t=l

Answered: Consider the Vector function c :Lもっで参せ>…

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Consider the Vector function c :Lもっで参せ> a) Find the もこ0 urc leng th of cle) from to b.) Find the curvature a t=(

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 22E

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Consider
the
Vcctor function
1,
a.) Find the
もこ0
urc leng th of rle) from
t=し
to
b.) Find the
curvatore a t=l

Expert Solution

Step 1

Given:

$r (t) = <t, t^{2}, \frac{2}{3} t^{3}>$

To Find:

$(a) . Arc length of r (t) from t = 0 to t = 1 . (b) . Find the curvature at t = 1 .$

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