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Determining a Quadratic using the Taylor Series

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Let G(x,y)= ln(1+xy). Determine a quadratic in x and y that is a good approximation to G(x,y) for points that are close to (0,0). Use your answer to approximate G(0.05, -0.02) and compare the approximation with the function value.

(Expand x and y till powers of 2)

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Solution Summary

Solution provides steps necessary to determine a quadratic from the information given using the Taylor Series.