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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
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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 = 0.002v- 0.035v2 + 2.1v

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

  1. Three Point Forward Difference Formula
  2. Three Point Backward Difference Formula
  3. Three Point Central Difference Formula
  4. Five Point Central Difference Formula

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

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