Consider the curve r (t) = < t + 2t^3, t + e^t >

Find parametric equations for the tangent line at (0, 1)

This occurs at t=0

dydt/dxdt = (1+e^0) / (1+6(0)^2) = 2/1 = 2

Am I doing this right?

(b) Find all t such that the tangent line is vertical.

Thanks in advance.