Question

12 2.
Find the approximate volw.of vo-037 Ling differential
approximate?​

Answer 1

Answer:

Take y=x−−√

Let x=0.04 and Δx=-0.003, Then

Δy=x+Δx−−−−−−√−x−−√

Δy=0.037−−−−√−0.04−−−−√

0.037−−−−√=0.04−−−−√+Δy

0.037−−−−√=0.2+Δy

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

dy=(dydx)Δx

=12x√(−0.003)

=120.04√(−0.003)

=−0.0075

Thus, the approximate value of 0.037−−−−√ is 0.2 - 0.0075 = 0.1925

please