(a) Use the small increments formula to estimate the change in z = x^3 − 2 xy when x increases from 5 to 5.5 and y increases from 8 to 8.8. (b) By evaluating z at (5, 8) and (5.5, 8.8) work out the exact change in z , and hence calculate the percentage error in using the small increments formula.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
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(a) Use the small increments formula to estimate the change in z = x^3 − 2 xy

when x increases from 5 to 5.5 and y increases from 8 to 8.8.

(b) By evaluating z at (5, 8) and (5.5, 8.8) work out the exact change in z , and hence calculate the percentage error in using the small increments formula.

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