Find the curvature of the curve: R(t) Find = (2sint, t, 2cost)

Q: Find the curvature of the curve r(t) = (2 + 5t, 5 – t, 4 – 2t) at the point t = - 3. Give your…

A: We have to find the curvature of the curve r→(t)=2+5t, 5-t, 4-2t at the point t=-3 .

Q: Find the curvature of the curve given by r(t) = (4sin t, t, 4 cos t).

A: To find - Find the curvature of the curve given by rt = 4sint, t, 4cost     Formula used -…

Q: r(t) = (2+31+3 23. Find the length of the curve r(t) = (rsint+cost)i + (sint-rcost) j+rk from 0..…

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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) = (2 + 5t, 5 – t, 4 – 2t) at the point t = - 3. Give your…

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Q: Find the curvature of the curve r (t) = (- 5+ 4t, 1+ 3t, 5t) at the point t - 7.

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Q: Find the radii of curvature and torsion at a point of the curve r? + y2 = a², x² – y? = az. %3D %3D

A: Given curve is x2+y2=a2x2-y2=az

Q: Consider the curve given by r(t) = where t varies over the real numbers. Find the curvature of r(t)…

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Q: Find the curvature of the curve 7(t) = (- 5 – 2t, 2 + 3t, 3 + 2t) at the point t = 0. Give your…

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Q: find the Cerrvature of the Curve x:(0,1|R? defined by x(t)=14Cost, 1sint,o), where %3D is coostant 2

A: α(t)=(1rcost ,1rsint ,0)r is constantTo find the curvature of the given curve