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1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² g(x) = 320x

1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² g(x) = 320x

Advanced Engineering Mathematics
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. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² 320x g(x) = a) If fuel costs $1.29 per liter, find the cost function C(x) that expresses the cost of the fuel for a 200-km trip as a function of the speed. b) What driving speed will make the cost of fuel equal to $300? c) What driving speed will minimize the cost of fuel for the trip?
Transcribed Image Text:1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the speed of the car in kilometers per hour and 1280 + x² 320x g(x) = a) If fuel costs $1.29 per liter, find the cost function C(x) that expresses the cost of the fuel for a 200-km trip as a function of the speed. b) What driving speed will make the cost of fuel equal to $300? c) What driving speed will minimize the cost of fuel for the trip?
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