Let (t) = < 4t5 - 4, t¹ + t5, — In(3t) > Find a parametric equation of the line tangent to ŕ (t) at the point (968, 324, -2.197) x(t) = 968+ 1620t y(t) = z(t)= =

Find parametric equations for the line through P = (2, 5) perpendicular to the line y = 4x − 3.

find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should not be x=t. define your interval for the parameter t.

Find a parametric equation for the line that is perpendicular to the graph of the equation 2x² + 3y² + 3z² = 47 at the point (2,3,2).

Let r(t) = Find a parametric equation of the line tangent to r(t) at the point (85, - 324, 13.54)

Find an equation, in slope-intercept form, of the line tangent to the curve with parametric equations x = t²+2t and y = 2 lnt at the point (3,0). y =

Verify algabraically whether the parametric equation x(t) = 10-2.5t, y(t) = 1.5t and the rectangular equation y = 6-0.6x represent the same line on a graph

The motion of a particle in space is defined by the parametric equationx(t) = −t2 + 3t + 1, in meter and y(t) = 2t + 5, in meter. Determine the (a) position, (b) velocity, and (c) acceleration of the particle when t = 5 seconds.

A curve in the plane is defined parametrically by the equations written below. An equation of the line tangent to the curve at t=1 is * x = t + t and y = t* + 21?