1. The fuel efficiency of vehicles depends on engine revolutions per minute (rpm = x)) and usually is 70% at 4,000 rpm. The rate of change of the fuel efficiency, with respect to the rpm, is proportional to the fuel efficiency E(x). Assume that the proportionality constant is equal to 0.0003. a) Find the differential equation that represent the fuel efficiency with respect to rpm. b) Find the fuel efficiency E(x) in terms of rpm. c) What is the fuel efficiency at 2000 rpm? de -0.00 in- of

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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1. The fuel efficiency of vehicles depends on engine revolutions per minute
(rpm = x)) and usually is 70% at 4,000 rpm. The rate of change of the fuel
efficiency, with respect to the rpm, is proportional to the fuel efficiency
E(x). Assume that the proportionality constant is equal to 0.0003.
info
a) Find the differential equation that represent the fuel efficiency with a
respect to rpm.
b) Find the fuel efficiency E(x) in terms of rpm.
c) What is the fuel efficiency at 2000 rpm?
de
dE
da
9377
Transcribed Image Text:1. The fuel efficiency of vehicles depends on engine revolutions per minute (rpm = x)) and usually is 70% at 4,000 rpm. The rate of change of the fuel efficiency, with respect to the rpm, is proportional to the fuel efficiency E(x). Assume that the proportionality constant is equal to 0.0003. info a) Find the differential equation that represent the fuel efficiency with a respect to rpm. b) Find the fuel efficiency E(x) in terms of rpm. c) What is the fuel efficiency at 2000 rpm? de dE da 9377
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