The tangent line to a smooth curve r t f t i g t j h t k at

Last updated: 6/14/2023

The tangent line to a smooth curve r t f t i g t j h t k at t to is the line that passes through the point f to 9 to h to parallel to v to the curve s velocity vector at to Use r to and r to to find parametric equations for the line that is tangent to the given curve at the given parameter value t to r t 6 cos t i t sin t j 3e k to 0 Find the standard parametrization for the tangent line A x 6 y t z 3 9t OB x 6 y 2t 1 z 3 OC x 0 y 2t 1 z 3 OD x 0 y t z 3 9t