Find the unit tangent vector T(t) at the point with the given value of the parameter...
3. [-/10 Points] DETAILS SCALCET8 13.2.017. Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = - 3t, 1 + 4t, = { + t = 4 T(4) =
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....
(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
(1 point) Given R' (t) R' (t)ll Then find the unit tangent vector T(t) and the principal unit normal vector N(t) T(t)- N(t)
(1 point) Given R' (t) R' (t)ll Then find the unit tangent vector T(t) and the principal unit normal vector N(t) T(t)- N(t)
EXAMPLE 1 (a) Find the derivative of r(t) = (3 + t4)1+ te-y + sin(40k. (b) Find the unit tangent vector at the point t0. SOLUTION (a) According to this theorem, we differentiate each component of r: t 45 cos (4t) r(t) + 3 (b) Since r(0)= and r(o) j+4k, the unit tangent vector at the point (3, 0, 0) is i+ 4k T(0) = L'(0)--
EXAMPLE 1 (a) Find the derivative of r(t) = (3 + t4)1+ te-y +...
(1 point) Consider the helix r(t)-(cos(-4t), sin (-4t), 4t). Compute, at t A. The unit tangent vector T-( B. The unit normal vector N -( C. The unit binormal vector B( D. The curvature K = Note that all of your answers should be numbers
(1 point) Consider the helix r(t)-(cos(-4t), sin (-4t), 4t). Compute, at t A. The unit tangent vector T-( B. The unit normal vector N -( C. The unit binormal vector B( D. The curvature K...
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).
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t4 + 3 y = t3 +t t = 1 y(x) = _______
Find the Unit Normal Vector and Unit Binormal Vector:
( 1 point) Consider the helix r(t) (cos(8t), sin(8t),-3t). Compute, at- A, The unit tangent vector T-〈10.8 10884854070| , -0.46816458878| B. The unit normal vector N 〈 C. The unit binormal vector B-〈 1 ǐ ,1-0.35 11 23441 58 0
(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 >.