Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit
-10 000
of radius 10 000 km can be modelled by the function E = 2×100
where E is the energy, in
%3|
Joules, and r is the new radius, in kilometers.
a) Determine the average rate of change between r =
b) Determine the instantaneous rate of change at r =
c) What is the difference between an average rate of change and an instantaneous rate of change?
10 000 km and r= 15 000 km.
15 000 km.
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Transcribed Image Text:The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit -10 000 of radius 10 000 km can be modelled by the function E = 2×100 where E is the energy, in %3| Joules, and r is the new radius, in kilometers. a) Determine the average rate of change between r = b) Determine the instantaneous rate of change at r = c) What is the difference between an average rate of change and an instantaneous rate of change? 10 000 km and r= 15 000 km. 15 000 km.
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