The fuel economy of a car (miles per gallon) varies with its speed. In an experiment, the following five measurements are obtained: Speed (mph) Fuel economy (mpg) 10 25 40 55 70 12 26 28 30 24 Determine the fourth-order polynomial in the Lagrange form that passes through the points. Usc the poly- nomial to calculate the fuel cconomy at 65 mph.

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