Find the unit tangent vector for the given vector function.
r(t)=< 3+t2 ,t4, 6>
Find the unit tangent vector for the given vector function. r(t)=< 3+t2 ,t4, 6>
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) 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)
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
Consider the following vector function. r(t) = 5t, ed, e) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) N(t) (b) Use this formula to find the curvature. k(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).
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
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
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) =
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