Question

If percentage error in a, b, c & d is given by 2%, 4%, 1%, 3 % respectively and Z = (a^2 b)/(c d) then find the percentage error in Z-



14

12

16

18



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Answer 1

Answer:

18 answer is write mark me brain list and thanks

Answer 2

Given info : if percentage error in a , b , c and d are given by 2 % , 4% , 1% and 3% respectively. and Z = $\frac{a^2b}{cd}$.

To find : the percentage error in Z is ..

solution : relation between terms is given by, Z = $\frac{a^2b}{cd}$

so the percentage error in Z is given by,

                           % error in Z = 2 × % error in a + % error in b + % error in c + % error in c + % error in d

here,

% error in a = 2 %

% error in b = 4%

% error in c = 1%

% error in d = 3 %

∴ % error in Z = 2 × 2 % + 4% + 1% + 3%

                      = 4 % + 4% + 1% + 3%

                      =  12 %

therefore the percentage error in Z is 12%. i.e., option (2) 12 , is correct.