Question

USING DIFFERENTIALS,
Find the approximate value of √0.037

Answer 1

Answer:

Step-by-step explanation:

0.19 * 0.19 = 0.0361

 

So 0.037−−−−√ is near 0.0361−−−−−√=0.19

 

Let us use f(x)=x−−√ where x=0.0361 and Δx=0.0009

 

f′(x)=12x√

 

0.037−−−−√=f(x+Δx)

 

0.037−−−−√≈f(x)+f′(x)Δx

 

=f(x)+Δx2x√

 

=0.0361−−−−−√+0.000920.0361√

 

=0.19+0.00090.38=0.19+938∗10−2=0.19235

 

 

Answer : 0.1925

Answer 2

hey mate ur answer is :- 0.19235384061671