1. [-/0.136 Points] DETAILS LARCALC11 12.4.004. Find the unit tangent vector to the curve at the specified value of the parameter. r(t ) = ti + 8taj, t = 4 T(4) = Need Help? Read It 2. [-/0.136 Points] DETAILS LARCALC11 12.4.005. Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 5 cos(t)i + 5 sin(t)j, t = Need Help? Read It 3. [-/0.136 Points] DETAILS LARCALC11 12.4.007. Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 5ti - In(t)j, t = e T(e) = Need Help? Read It Watch It4. [40.273 Points] LARCALC11 12.4.1310. Find the unit tangent vector T{t). r[t] : t2i + q- +4k, pg, 3, 4) Find a set of parametric equations for the line tangent to the space curve at point P. (Enter your answers as a commaiseparated list. Use ffor the variable of parameterization.) Z Need Help? 5. [40.273 Points] LARCALCH 12.4.013.M|. Find the unit tangent vector T{t). 7 7 rt] = {7 cos t, 7 sin f, 2), P(, ) ,2 2%? Find a set of parametric equations for the line tangent to the space curve at point P. (Enter your answers as a comma-separated list. Use tfor the variable of parameterization.) Z Need Help? 6. [-/0.136 Points] DETAILS LARCALC11 12.4.016. Find the principal unit normal vector to the curve at the specified value of the parameter. r (t ) = ti+ -j, t = 2 N(2) = Need Help? Read It 7. [-/0.136 Points] DETAILS LARCALC11 12.4.018. Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = vati + elj + elk, t = 0 Need Help? Read It 8. [-/0.136 Points] DETAILS LARCALC11 12.4.020. Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = cos(3t)i + 2 sin(3t)j + k, t = n N(TT) = Need Help? Read It9. [-/0.273 Points] DETAILS LARCALC11 12.4.025. Find the tangential and normal components of acceleration at the given time t for the plane curve r(t). r(t ) = ti + T Need Help? Read It Watch It 13. [-/0.273 Points] DETAILS LARCALC11 12.4.035. Find the tangential and normal components of acceleration at the given time t for the space curve r(t). (If an answer is undefined, enter UNDEFINED.) r(t) = ti + 3tj - 4tk, t = 2 Need Help? Read It 14. [-/0.273 Points] DETAILS LARCALC11 12.4.039. Find the tangential and normal components of acceleration at the given time t for the space curve r(t). (If an answer is undefined, enter UNDEFINED.) r(t) = et sin(t)i + ef cos(t)j + elk, t = 0 Need Help? Read it Watch It