Find the curvature of the curve at the given position. r(1) = (r, t², 31), at t=1

Q: Find the curvature of the curve at the point P.

A: Given: r(t) = 3ti +2t2j,  P-3, 2 To find: The curvature of the curve r(t) at the given point.

Q: r(t) = (10 + 6 cos 9t) i − (2 + 6 sin 9t)j + 2k A) K = 6 B) K 36 C) k = 1 16 D) K = 3 N/W 2

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Q: Find the curvature (as an exact value) of (t) when t = 1

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Q: Find the curvature k(t) of the curve (r)t=(-9sint)i+(-9sint)j+(6cost)k

A: Solution is given below:-

Q: Find the curvature of the curve r(t) = (-5t, 3t5, 2t³) at the point t = Give your answer to 2…

A: r(t)=<-5t, 3t5,-2t3>, point, t=-1

Q: Find the equation of the tangent plane to the graph of G(u, w) = – cos (uw) at the point (5. ). (Use…

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Q: Consider the curve given by the equation y2+x3=0. Find its curvature at the point (−1,1).

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Q: Consider the curve r = (t2,1 – 3t, 1+ t³). (a) Find r'. (b) Does the curve pass through (9, –8, 28)?…

A: To find r'

Q: Find the center of curvature, equation ot the circle of curvatire of f(x) = V2x at x = 2.Draw a…

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