solve the following problems involving conic sections. illustrate the object represnting the conic section and show all pertinent solutions. (please make the solutions easier to understand) 1.An orbit of a satellite around a planet is an ellipse, with the planet at one focus of this ellipse. edistance of the satellite from this star varies from 30o:000 km to 500: 000 km, attained when the satelite 15 ateach of the two vertices. Find the equation of this ellinse if its center is at the origin, and the vertices are onthe x-axis. Assume all units are in 100 000 km.2.A big room is constructed so that the ceiling is a dome that is semielliptical in shape. If a person standsat one focus and speaks, the sound that is made bounces off the ceiling and gets reflected to the other focus.mus, if two people stand at the foci (ignoring their heights), they will be able to hear each other. If the room is34 m long and 8 m high, how far from the center should each of two people stand if they would like to whisperback and forth and hear each other?3.The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridgeit supports. Suppose the cable hangs, following the shape of a parabola, with its lowest point 20 m above thebridge. How high is the cable 120 m away from a tower?4. Two stations, located at M(-1.5, 0) and N(1.5,0) (units are in km), simultaneouslysend sound signals to a ship, with the signal traveling at the speed of 0:33 km/s. If the signal fromN wasreceived by the ship four seconds before the signal it received from M, find the equation of the curvecontaining the possible location of the ship.5. A ferris wheel is elevated 1 m above ground. When a car reaches the highest point on the ferris wheel, itsaltitude from ground level is 31 m. How far away from the center, horizontally, is the car when it is at analtitude of 6.25 m? Answer:

Name: solve the following problems involving conic sections. illustrate the
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: solve the following problems involving conic sections. illustrate the object represnting the conic section and show all pertinent solutions. (please make the solutions easier to understand) 1.An orbit of a satellite around a planet is an ellipse, wit