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Find the curvature $\kappa$ for the curve $y=x-\frac{1}{4} x^{2}$ at the point $x=2$ .

$\kappa(2)=\frac{1}{2}$

Calculus 3

Chapter 3

Vector-Valued Functions

Section 3

Arc Length and Curvature

Vector Functions

Vector Calculus

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Lectures

02:56

In mathematics, a vector (…

06:36

00:57

Find the curvature $\kappa…

Find the curvature at the …

01:33

Use a graphing calculator …

01:36

Find the radius of curvatu…

06:31

01:39

01:40

Graph the curvature functi…

01:09

01:21

01:15

Use Formula 11 to find the…

function y equals ju X minus or not far thanks square and the question asked her to find it curvature onda value up to so we know done the curvature k we know in the game of the exit with Iko June the absolute no wide about graham the Veniamin one plus y prime square Totally about under a tree and a Jew And therefore we need to find the Boston Mubi, the white Bram where it goes You were given the one here. The father What chemical? To one minus 1/2 on the X. And then the one of a family could humanise half. And therefore we have everything If when we have the guy next week Oh, joke. What about removing 1/2? Dividing by, uh is absolutely so we have again the 1/2 now Now we will have one breast the one minus 1/2 square Everything about our ambulatory under two. So we on, uh, the nominee they nominated. We can certainly find this one and then we get go We don't need to signify because from here we just need to look in a very okay Joe him fo kept you. We go tell 1/2 inviting by. We haven't had to be one. Plus, you go with her to inside. Here we get the one minus one B zero B, one breath. So, you know, about 300 to 4. We get equal to one on with Julie over one and go to another to we know final answer here.

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