The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit of radius 10 000 km can be modelled by the function E =2×101° n10r-10 000 where E is the energy, in Joules, and r is the new radius, in kilometers.

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The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit
r-10 000
of radius 10 000 km can be modelled by the function E = 2 ×1010
where E is the energy, in
Joules, and r is the new radius, in kilometers.
a) Sketch a graph of E versus r for the entire function in a paper-pencil style. Clearly label the axes,
scale on both axes, the asymptote(s), and the intercept(s).
b) How is the graph of the entire function different from the graph for the real-life situation?
Transcribed Image Text:The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit r-10 000 of radius 10 000 km can be modelled by the function E = 2 ×1010 where E is the energy, in Joules, and r is the new radius, in kilometers. a) Sketch a graph of E versus r for the entire function in a paper-pencil style. Clearly label the axes, scale on both axes, the asymptote(s), and the intercept(s). b) How is the graph of the entire function different from the graph for the real-life situation?
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