Find arc length
1-r(t)=(6t^2,2â6t,lnt) where 1<t<10
Find the curvature k(t)
1-r(t)=(-1sint)i+(-1sint)j+(3cost)k
For unlimited access to Homework Help, a Homework+ subscription is required.
Consider the curve r'(t)=.(4t,3cost, 3sint). Find the length of the curve from t = 0 to t = 2?. Also find the curvature.
Let C be the curve defined by the vector equation r(t)= <3sint, 3cost, 4t>.
(a) Find the parametric equations of the tangent line and equation of the normal plane to the curve at the point (0,3,0).
(b) Find the curvature at this point.