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Find the curvature of the plane curve traced out by the vector functionr(t) .rlt) = 9 sin ti + 9 cos t jK(t)[-/1 Points]DETAILSSULLIVANCALC2 11.3.039Find the curvat...

Question

Find the curvature of the plane curve traced out by the vector functionr(t) .rlt) = 9 sin ti + 9 cos t jK(t)[-/1 Points]DETAILSSULLIVANCALC2 11.3.039Find the curvature of the graph of the function at the indicated point. y = Vx at (2, V2)K(2)

Find the curvature of the plane curve traced out by the vector function r(t) . rlt) = 9 sin ti + 9 cos t j K(t) [-/1 Points] DETAILS SULLIVANCALC2 11.3.039 Find the curvature of the graph of the function at the indicated point. y = Vx at (2, V2) K(2)



Answers

Find the curvature for the following vector functions.
$$\mathbf{r}(t)=(2 \sin t) \mathbf{i}-4 t \mathbf{j}+(2 \cos t) \mathbf{k}$$

In this question here. Where you calling the curvature armed of function. They were equal Junior. After the program, the X I used the excellent thanks then divided by the one plus F prime, the X Power chew. And then everything about three on a Jew in this question were given the function. Why equaled you a body on the T equals three? Yeah, the first time we need to find a white prom. Then we getting culture each of the stay the same. And then why? Prime and ability three equal to the eba three. Similarly, the wind up of prime equal to each of the 80 something. So why the prime and the value three equal to even Trias? Well, yeah. We're blind of formula Guy and a valid three you go to after the Bram on the X equal Joined the Evil 3/1 plus e about three square power three off the Jew so we can certainly find together even 3/1 plus e about. Listen, about junior will be evil six. Then about three on with you. So this will be the coverage and we're looking for

In this question will record on the curvature did not by the Katie it will equal to the after the primary D absolute value invented by one plus f prime on the D Square. Literally about three on the Jew in discussion were given the function y equals unity about far entity could teach you. It was in the first time. You need to find the first derivative. Then we get equal to the 40 about three. Just in the the equity to we can find a one prime on a value to you. Go to the fun Times 23 Don't get me Go to the 32 now the second derivative off ICO during the throughout the square and then the wind up of prime on the very to he could have drowned him still about you. You go to the 48. From here we can get the curvature and the value too because you didn't hear will be 48 divided by one plus 32 square, then power on the 300 to then we get equal to last one because you that 48 divided by one hour, £25.3 out of two on this will be the coverage and we're looking for


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