Using differentials, find the approximate value of each of the following up to 3 places of decimal.


Consider y =


Let x = 81 and Δx = 0.5. Then, we get


Δy =


=



= Δy + 3


Now, dy is approximately equal to Δy and is given by:


dy =





= 0.0046


Therefore, the approximate value of is 3.0046.


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