1. Identify the type of conic section that has the equation x^2 + y^2 = 81. Identify the domain, range, and axes of symmetry of the conic section. 2.Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the ellipse is placed on a large coordinate grid with its center at (0, 0), the equation (x^2/2500)+(y^2/8100)=1

models the path of the track. The units are given in yards. How long is the major axis of the track? Explain how you found the distance.

3.A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror with the lens at one focus of the hyperbola. Write the equation of the hyperbola that can be used to model a mirror that has a vertex 4 inches from the center of the hyperbola and a focus 1 inch in front of the surface of the mirror. Assume the mirror has a horizontal transverse axis and the hyperbola is centered at (0, 0).