8. When my niece. Emma, rst learned to crawl, she would roam around my brother's living room for hours. The living room is a 16 ft. by 13 ft. rectangle. Consider (0,0) as the bottom left corner of the room and [1-6. 131 as the top right corner of the room. One at Emma's favorite paths can be described by the parametric equations below, where t is time in minutes. xltl=0.45(t5F+2 Yttl=t+1 a] [3 pts] Sketch a graph of the Emma's path for 0 s t s 10 and label the points on the path for t = CI and t = 5 minutes. Label the axes and show the scale. Round your values to the nearest tenth and indicate the direction In which Emma is tavellng. 5iil91011t213141518 b) [3 pts] My brother's dog, Shiloh. was a bit scared of Emma once she started crawling. Shiloh's dog bed. where she likes to hang out most ofthe day. was located at the point [12]. Shiloh got up and left her bed if Emma came within 2 feet of her. Will Emma force Shiloh to move from her bed at any time over the time interval 05 t s 10? Show your work. Include the function and a welllabeled sketch of an}.r graph that you use to find your