A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surface of the Earth at all times. The altitude of the satellite is 35 , 786 km . The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can communicate? Take the radius of the Earth to be 6357 km and round to the nearest kilometer.
A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surface of the Earth at all times. The altitude of the satellite is 35 , 786 km . The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can communicate? Take the radius of the Earth to be 6357 km and round to the nearest kilometer.
Solution Summary: The author calculates the maximum distance along the surface of the Earth for which the sender and receiver of both the signals can communicate.
A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surface of the Earth at all times. The altitude of the satellite is
35
,
786
km
. The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can communicate? Take the radius of the Earth to be
6357
km
and round to the nearest kilometer.
Assuming that the rate of change of the price P of a certain commodity is proportional to the difference between demand D and supply S at any time t, the differential equations describing the price fluctuations with respect to time can be expressed as: dP/dt = k(D - s) where k is the proportionality constant whose value depends on the specific commodity. Solve the above differential equation by expressing supply and demand as simply linear functions of price in the form S = aP - b and D = e - fP
Find the area of the surface obtained by rotating the circle x² + y² = r² about the line y = r.
1) Find the equation of the tangent line to the graph y=xe at the point (1, 1).
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