H.W. Find the torsion for the curve r= (3sinti+3cos tj+ 4tk)

Q: sts: Find he area bounded by the svers Curve re sino, 30°s os 60°

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Q: How. Find the Lonyths tor the tollowi 2 Kao 26 3-r= V2 4- K=2 S帰 6号) 8八E 2.

A: We have to find arc length of the given curves .

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A: We first sketch the region using a graphing calculator

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Q: tind the Cur Vature o f fhe curve ro Ycos ni t usinnj

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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:-

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Q: Find the length of the curve y = V- from z =1 to r = e. 3

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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: Given the parametric curve r (t)=⟨sin(πt),t⟩ where −1≤t≤1, find r ′ (t) and sketch the curve,…

A: The given curve is, rt=sinπt,t where -1≤t≤1. A tangent vector shows the direction of the motion. The…

Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: Find T, N and K for the plane curve: r(t) = ti + Incos tj

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