Consider the curve defined by m=tandy=2t2 +6,for2 gtgs. Find an equation in :c and y whose graph includes the graph of the given curve. 0 y=wz+6 O y:2$2+8 O y:4x2+6 O y=8x2+6 Consider the curve defined by m=2t1andy:2t,for5gt53. Find an equation in :c and y whose graph includes the graph of the given curve. 0 y=m+8 Consider the curve defined by m=t4andy:t2+3,for3gtg4. Find an equation in :c and y whose graph includes the graph of the given curve. 0 y = 2:3 + 83: + 19 O y = 222 + 82 + 16 O y=32+19 H :$2+6$:3 m = 2costand y: t2 +3sint+5 What is the vertical component of the particle's location when it's horizontal component is 1? O y=8.69 o y:4.27 0 3,2135 0 y=8.51 A particle moves in the my plane so that at any time 2 g t g 1, :1: = 5sint and y = t2 3cost 1. What is the vertical component of the particle's location when it's horizontal component is 3? o y: -239 O 3;: 0.64 O 3;: 3.21 O 3;: 3.31 A particle moves in the soy plane so that at any time 0 g t g 2, m = 2005i and y = :2 +sint 2. What is the vertical component of the particle's location when it's horizontal component is 1? O g: 1.05 O 3;: 0.11 O 3;: 1.22 O y = 0.04