(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.
(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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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