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Find the approximate value of √0.037 using differential approxmations? .
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☆☆Answered by brainly best user Rohith kumar.R
Ok lets enter to your question: -
We will take here
y=square root of x
And let,
x=0.04 and delta x= 0.003 then
By applying the formula of ,
delta (y)= square root ofx+deltax- rootx
delta (y)=root of 0.037 -root0.04
root of 0.037=0.2+delta (y)
Now, dy is equal to delta (y)
And we know that,
dy=(dy/dx)×delta x
dy=1/2root0.04(-0.03)
=-0.0075
●●Therefore the appropriate value of root 0.037 is
=0.2-0.0075
=0.1925.
☆Hope it helps u mate.
☆Thank you.
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