Question 1

Find an equation for the conic whose graph is shown. y 10/ 5 asymptote y =x+3 -10 -5 5 10 -5 - 10A satellite is in an elliptical orbit around the earth with the center of the earth at one focus, as shown in the figure. The height of the satellite above the earth varies between a = 450 mi and b = 130 mi. Assume that the earth is a sphere with radius 3960 mi. Find an equation for the path of the satellite with the origin at the center of the earth. a mi b miDetermine what the value of F must be if the graph of the equation 4x2+y2+4(x 3y) +F= 0 is the following. (a) an ellipse H (b) a single point B (c) the empty set U