User off ~~`Find the approximate value of √0.037 using differential

1.	User off ~~`Find the approximate value of √0.037 using differential approxmations?
Answer» Answer; Take y=x Let x=0.04 and Δx=−0.003, Then, Δy=x+Δ −x Δy=0.037 −0.04 =Δy+0.2 Now, dy is approximately equal to $$Δy$$ and is GIVEN by dy=(DXDY )∆x=2x1(−0.003)= 2 0.04 1 (−0.003)=−0.0075 Thus, the approximate value of 0.037 is 0.2−0.0075=0.1925 Hence, this is the answer. HOPE it helps you ✌️✅✅✅

User off ~~`Find the approximate value of √0.037 using differential approxmations?

Answer»

Take y=x

Let x=0.04 and Δx=−0.003,

Then, Δy=x+Δ −x

Δy=0.037 −0.04

=Δy+0.2

Now, dy is approximately equal to $$Δy$$ and is GIVEN by

dy=(DXDY )∆x=2x1(−0.003)=

2 0.04 1 (−0.003)=−0.0075

Thus, the approximate value of

0.037

is 0.2−0.0075=0.1925

Hence, this is the answer.