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...
(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) 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)=e4tcos(3t)i+e4tsin(3t)j+3e4tkR(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tk Find the derivative R′(t)R′(t) and norm of the derivative. R′(t)=R′(t)= ∥R′(t)∥=‖R′(t)‖= Then find the unit tangent vector T(t)T(t) and the principal unit normal vector N(t)N(t) T(t)=T(t)= N(t)=N(t)= (1 point) Given R(t) = cos(36) i + e sin(3t) 3 + 3e"k Find the derivative R') and norm of the derivative. R'(t) = R' (t) Then find the unit tangent vector T(t) and the principal unit normal vector N() T(0) N() Note: Yn can can on the hom
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
Find the unit tangent vector for the given vector function. r(t)=< 3+t2 ,t4, 6>
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
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....
Question 9 Let r(t)={cos 2t, sin 2t, V5t) a) Find the unit tangent vector and the unit normal vector of r(t) at += TI (Round to 2 decimal places) TE)= NG) = < b) Find the binormal vector of r(t) at t = TT 2 (Round to 2 decimal places) BC) =< A Moving to another question will save this response.
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) =
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