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Differential Calculus Question : A satellite is in an elliptical orbit around the Earth. Its distance r (in miles) from the center of the Earth is given by \[r=\frac{4995}{1+0.12cos\theta}\] where d is the angle measured from the point on the orbit nearest the Earth's surface. (a) Find the altitude of the satellite at perigee (the point nearest the surface of the Earth) and at apogee (the point farthest from the surface of the Earth). Use 3960 mi as the radius of fie Earth.
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