Using differentials, find the approximate value of each of the following up to 3 places of decimal.
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Consider y = ![]()
Let x = 16 and Δx = -1. Then, we get
Δy = ![]()
=![]()
![]()
⇒
= Δy + 2
Now, dy is approximately equal to Δy and is given by:
dy = ![]()

![]()
![]()
= -0.03125
Therefore, the approximate value of
is -0.03125.
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