3. Sketch the curve of the vector-valued function r(t) = 3secti + 2tantj and give the orientation of the curve. Sketch asymptotes as a guide to the graph.5. Given the vector-valued function r(t) = (cost, sint) , find the following values: a. lim r(t) b. r (. c. Is r(t) continuous at t = d. Graph r(t).7. Let r(t) = et i+ sintj + Intk. Find the following values: a. r b. lim r(t) t-+ 71 / 4 c. Is r(t) continuous at t = "?9. lim r(t) forr(t) = et i + sintj + Intk t- TT / 213. lim r(t) for r(t) = 2e tite j + In(t - 1)k t-+00