Given v′(t)=2ti+j, find the arc length of the curve v(t) on the
interval [−2,3]. You may...
Given v′(t)=2ti+j, find the arc length of the curve v(t) on the
interval [−2,3]. You may use technology to approximate your
solution to three decimal places.
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with ?=8. ?=2?^(−?^2), on ?∈[0,2] (Use decimal
notation. Give your answer to four decimal places.) ?8≈
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with N=8.
y=7e^(−x2) on x∈[0,2]
(Use decimal notation. Give your answer to four decimal
places.)
Given r(t) = <2 cos(t), 2 sin(t), 2t>. • What is the arc
length of r(t) from t = 0 to t = 5. SET UP integral but DO NOT
evaluate • What is the curvature κ(t)?
Let C be a plane curve parameterized by arc length by α(s), T(s)
its unit tangent vector and N(s) be its unit normal vector. Show d
dsN(s) = −κ(s)T(s).