Please help me with a and b

4. {13 POINTS] LOGARITHMIC SPiAL. (a) Sketch the curve t} 2 {e3: cost, e3I sin t} in E2 and compute its arc length for {II 5 t 5 Bra. [For the sketch, use of software is acceptable, but the graph should be drawn by hand and the right features should be present] [4 points] {h} The vector 11 makes an angle of %'1 with the positive xsxis. 1'ul'v'rite the vector 1:! in component form. Furthermore, write the equation of the line Ht\") paging through the origin With direction vector v. ['2 points] {c} Find the points of intersection between the curve rtt] and the line Ht\") in the second quadrant. [3 points] {:1} Show that the acute angle between rt) and its} at their points of intersection from {c} is a constant. 1|What is this constant\"? [-4 points] {e} BONUS. Explain hovr to do each part of this problem using polar coordinates. [5 points}