This is about conic sections. Can you help me solve these problems?

C. EVALUATION Read and analyze carefully the following problem. Use extra paper for your solution. 1. Two station, located at M(-1.5,0) and N(1.5,0)(units are in kilometer), simultaneously send sound signal to ship, with the signal traveling at the speed of 0.33km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curved containing the possible location of the ship. 2. An orbit of a satellite around a planet is an ellipse, with the planet at one focus of this ellipse The distance of the satellite from this star varies from 300,000 km and 500,000 km, attained when the satellite is at each of two vertices. Find the equation of this ellipse, it its center is at the origin, and the vertices are on the x-axis. Assume all units are 100,000 km. 3. The tower supporting the cable of a suspension bridge are 1200m apart and 170m above the bridge its supports. Suppose the cable hangs, following the shape of a parabola, with its lowest point 20m above the bridge. How high is the cable 120m away from a tower? 4. A satellite dish in the shape of a paraboloid is 10 ft. across, and 4 ft. deep at its vertex. How far is the receiver from the vertex, if it is placed at the focus? Round off your answer to 2 decimal places. 5. A street with two lanes, each 10 ft wide, goes through a semicircular tunnel with radius 12 ft. how high is the tunnel at the edge of each lane? Round off to 2 decimal places