The petrol mileage of a car is affected by many factors like road surface, tire type, velocity, fuel octane rating and the speed and direction of the wind. The effect of the velocity on the mileage of a certain car may be observed by finding the instantaneous rate of change of the function below;m = 0.002v3 - 0.035v2 + 2.1vUse following approximations to calculate the mileage of the car at v = 59 m/s.Three Point Forward Difference FormulaThree Point Backward Difference FormulaThree Point Central Difference FormulaFive Point Central Difference FormulaAlso calculate respective Absolute Relative Errors, let spacing between points equivalent to 0.01

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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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The petrol mileage of a car is affected by many factors like road surface, tire type, velocity, fuel octane rating and the speed and direction of the wind. The effect of the velocity on the mileage of a certain car may be observed by finding the instantaneous rate of change of the function below;

m = 0.002v³- 0.035v² + 2.1v

Use following approximations to calculate the mileage of the car at v = 59 m/s.

Three Point Forward Difference Formula
Three Point Backward Difference Formula
Three Point Central Difference Formula
Five Point Central Difference Formula

Also calculate respective Absolute Relative Errors, let spacing between points equivalent to 0.01

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