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 =. where E is the energy, in Joules, and r is the new radius, in kilometers. a) Determine the average rate of change between r= 10 000 km and r = 15 000 km. b) Determine the instantaneous rate of change at r = 15 000 km. c) What is the difference between an average rate of change and an instantaneous rate of change?

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