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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c838b86-3bb6-4585-b8a5-2126a5cec860%2F59687f5d-6f3c-4bd0-98dc-00ccb85d953d%2Fb2mm77h_processed.jpeg&w=3840&q=75)
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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