3. [-/10 Points] DETAILS SCALCET8 13.2.017. Find the unit tangent vector T(t) at the point with...
Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = (2 – 3t, 1 + 4t, 582 + 2x2), t = 4 T(4) = <5,4,720 > 720.02847 x
(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
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....
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 +...
4. [-12 Points) DETAILS SCALCET8 12.3.011. If u is a unit vector, find u v and u. w. (Assume v and w are also unit vectors.) u u v = Uw= 5. [-12 Points] DETAILS SCALCET8 12.3.015. Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (7,2), b = (3,-1) exact approximate 6. [-/2 points) DETAILS SCALCET8 12.3.019. Find the angle between the vectors. (First find an exact expression...
(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...
(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)
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).
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 >.
(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 >.