12.3.6 Find the curve's unit tangent vector. Also, find the length of the indicated portion of...
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.)
12.3.8 Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (5t sint+5 cos t)i + (5t cost-5 sint)j V2 sts2 The curve's unit tangent vector is (i+j+ K.
(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 >.
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 unit tangent vector T and the curvature k for the following parameterized curve. r(t) = (3t+2, 5t - 7,67 +12) T= 000 (Type exact answers, using radicals as needed.) JUNIL Score: 0 of 2 pts 42 of 60 (58 complete) HW Score: 72.17%, 7 X 14.4.40 Ques Determine whether the following curve uses arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = (7+2,8%. 31), for 1sts Select the...
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).
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j + h(t]k at t= to is the line that passes through the point (f(t):(to)."(to) parallel to (to)the curve's velocity vector at to User (to) and (t) to find parametric equations for the line that is tangent to the given curve at the given parameter value t= to (1)-(31²)i + (4 + 3)j + (52) 10-3 What is the standard parametrization for the tangent line? yo...
(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
a) Find the length of the curve traced by the given vector function on the indicated interval: r(t)e' costie' sin tj+e'k 0<t<In2 b) Find the gradient of the scalar function f 6xyz + 2x+ xz at (1, 1, -1) c) Find the curl of the given vector field: F(x, y,z) 4xyi + (2x2 +2yz)j+(3z2+y2)k
For the following parameterized curve, find the unit tangent vector. r(t) = (e 21,2 e 21, 2 e -8t), for t20 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. T(t) = (Type exact answers, using radicals as needed.) O B. Since r' (t) = 0, there is no tangent vector.