Problem #1: Consider a fly that walks on a table along the path described by the parametric equations x=t+sin(2t), y=cos(t) for 051'36 a) Sketch a graph of the curve. To help visualize the curve, you can graph this eguation using GeoGebra. Set the domain to be zero to six. b} When does the fly change direction? Use calculus to answer this question (see hint below); show all work. Once completed, check your work with the graph from part a, then plot the points, on your graph in part a, corresponding to when the insect changes direction. Label the points on your graph. Hint: a change of direction can be going from an easterly direction to westerly (or vice versa) and from a northernly to southernly direction [or vice versa); it doesn't have to be an exact 180 degree change in the complete opposite direction. Think of it as changing from increasing to decreasing or from moving left to moving right