X=a^2√b÷C^3 whose value is 3% 2% 1% respectively then percentage error of x is

 

Asked by nishanisha1222 | 23rd Sep, 2019, 08:15: PM

Expert Answer:

begin mathsize 14px style x space equals space fraction numerator a squared space b to the power of begin display style bevelled 1 half end style end exponent over denominator c cubed end fraction
fraction numerator capital delta x over denominator x end fraction space equals space 2 fraction numerator capital delta a over denominator a end fraction plus 1 half fraction numerator capital delta b over denominator b end fraction plus 3 fraction numerator capital delta c over denominator c end fraction
end style
Hence percentage error of x =  (2×3) + [ (1/2)×2 ] + (3×1) = 6+1+3 = 10%

Answered by Thiyagarajan K | 24th Sep, 2019, 10:19: AM