Please answer the questions handwritten

9. For the vector-valued function r(t) = ( v2 -t, et - 1 In(1 + t) ): t (a) Determine the domain of r. (b) Find lim r(t) if it exists. (You may use l'Hopital's Rule.) 1+0 (c) What value (if any) could you give r(0) to ensure r is continuous at t = 0? (d) Find a tangent vector to r at t = 1. (e) Write down a vector-valued function q(s) whose graph is the tangent line in (d)