12.3.8 Find the curve's unit tangent vector. Also, find the length of the indicated portion of...
12.3.6 Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t’i + 2tºj - 31ºk 1sts2 The curve's unit tangent vector is (i+(Oj+(k. (Type an integer or a simplified fraction.)
12.3.3 Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 2ti + () 'k, Osts5 The curve's unit tangent vector is (i + (O; + (Ok. (Type exact answers, using radicals as needed.)
(b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
5. Find the unit tangent vector T(t), the unit normal vector Nt), and the curvature k(t) for the vector function r(t) = (3t, cost,-sint).
Question 7 Let r(t) = ( 11t, cos 5t, sin 5t> Find the unit tangent vector and the unit normal vector of r(t) at + = (Round to 2 decimal places) TE == NG) = < bic rocnonse
answer q5,6,7,8 please Find the unit tangent vector T(0) at the point with the gliven value of the parameter t. r(t)-cos(t)I + 8t1 + 3 sin(2t)k, t 0 T(o) Need Help? adHTer Find parametric equations for the tangent ine to the curve with the given parametric equations at the spedfled point. Evaluate the ietegral Need Help?h h SCakETS 13 200 Evaluate the integral. Find the unit tangent vector T(0) at the point with the gliven value of the parameter t....
Find the Tangent vector, the Normal vector, and the Binormal vector (T, Ñ and B) for the curve ř(t) = (2 cos(5t), 2 sin(5t), 4t) at the point t = 0 T(0) = ÑO) = B(0) =
(a) Find the unit tangent vector, T(t) and the unit normal vector, N(t), for the space curve r(t) cos(4t), sin(4t), 3t >. (b) From part (a), show that T(t) and N(t) are orthogonal (a) Find the unit tangent vector, T(t) and the unit normal vector, N(t), for the space curve r(t) cos(4t), sin(4t), 3t >. (b) From part (a), show that T(t) and N(t) are orthogonal
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k. a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2