MA104 Lab Report 5 - Parametric Equations; Polar CoordinatesName:Student Number:Fall 20191. [2marks] Consider the polar curver= 2 + cos9θ4.(a) Plotrfor 0≤θ≤2πusing Maple.
(b) Try changing bounds forθin the Maple code. What bounds will ensure you produce the entire curve?
2. [8marks] Suppose the position of a particle at timetis given byx1= 4 cost,y1= 2 sint, 0≤t≤2πand the position ofa second particle at timetis given byx2= 1-sint,y2= 2-cost,0≤t≤2π.(a) Use the following Maple commands to plot the parametric curves on the same axes.
(b) It appears there are two points at which the curves intersect.Are either of these points of intersection collision points?That is, will the two particles cross paths at the exact same time? If so, where and when? Show your work.