1)The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.(Show work please)

2)Graph the ellipse with equation x squared divided by 16 plus y squared divided by 4 = 1.

3)Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = -3 + 3 sin θ


4)Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1.