The power generated by a windmill varies with the wind speed. In an experiment, the following five measurements were obtained Wind speed (mph) 14 22 30 38 46 Electric Power(W) 320 490 540 500 480 Determine the fourth-order polynomial in the Lagrange form that passes through the points and PLOT the result with the original data points shown. Use the polynomial to calculate the power at a wind speed of 26 mph.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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The power generated by a windmill varies with the wind speed. In an experiment, the following five measurements were obtained

Wind speed (mph) 14 22 30 38 46
Electric Power(W) 320 490 540 500 480

Determine the fourth-order polynomial in the Lagrange form that passes through the points and PLOT the result with the original data points shown. Use the polynomial to calculate the power at a wind speed of 26 mph.

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