Q1 of 168 Page 216

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

Consider y =


Let x = 32 and Δx = 0.15. Then, we get


Δy =


=



⇒ = Δy + 2


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


dy =





= 0.00187


Therefore, the approximate value of is 2.00187.


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