?Car tires need to be inflated properly because overinflation or underinflation can

Chapter 2, Problem 58

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Car tires need to be inflated properly because overinflation or underinflation can cause premature tread wear. The data in the table show tire life L (in thousands of miles) for a certain type of tire at various pressures P (in lb/in2).

Use a calculator or computer to model tire life with a quadratic function of the pressure.Use the model to estimate dL/dP when P = 30 and when P = 40. What is the meaning of the derivative? What are the units? What is the significance of the signs of the derivatives?

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