(a) Use the small increments formula to estimate the change in z = x 3 2xy...

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(a) Use the small increments formula to estimate the change in z = x3 − 2xy 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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