What is the equation of the given hyperbola? y (4, 1) (2, 0) (4, -2) (4, -5) ( 3+ 2)2 (x - 4)2 9 2 =1 (y-2)2 (2 + 4)2 3 - = 1 O (y -2)2 (2+4)2 O ( y + 2 ) 2 (x - 4)2 2 =1 Write the equation of the hyperbola with center at (4, 2), vertex at (4, 5), and one asymptote defined by the equation 4y - 3x = - 0 (y -2)2 (20 - 4)2 = 1 O (y -2)2 (20 - 4)2 16 = 1 O y -2)2 (20 -4)2 = 1 O ( y+ 2)2 (20 + 4)2 16 What is the standard form of the equation 4x2 - 16y - 16x + 32y - 16 = 0? O (20 + 2)2 - (y - 1)2 = 1 0 (2 - 2)- - (y + 1)2 =1 o (x - 2) _ (y -1)2 =1 O (x - 2)2 _ (3 + 1)2 4 = 1Which of the following equations in z and y, if graphed, contain the parametric equation given by a: : cost, 3; : 5sin2 t, and 0 g t g 277? O y=522+1 O y27522+1 O y:5m2+5 O y25225 Consider the curve defined by m : 2 + f2 and y : 1 + 2t2, for any t. Find an equation in a: and y whose graph includes the graph of the given curve. 0 y : 2:): + 5 O y : 2; + 3 O y : 2:112 W 5 O y : 532 W 2 A particle moves in the xy plane so that at any time 0 g t g 4, m : 2t + 3sint and y : 5 cost. What is the horizontal component of the particle's location when it's vertical component is 4? O m:3.09 O 1:2.98 O x:0,64 O 3:2.05 Convert the point (0, 5) from Cartesian coordinates to Polar coordinates for 0 g 0 5 2r. 571' O (59?) Which of the following Polar Equations will create the graph shown? Hint: Convert each equation to its Cartesian Form. Or = 3 sin 0 Or = 2 + 4 sin 0 Or = 2 - 2 sin 0 Or = 4 cos 0 + 4 sin 0 A bug has fallen into a whirlpool, and it's distance from the center is given by: r = 0, where 0