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-​

Answer 1

Answer:

Given x=

c

1/2

d

1/2

a

3

b

2

On taking log and differentiating, we get

x

Δx

=3

a

Δa

+2

b

Δb

+(

2

1

)

c

Δc

+(

2

1

)

d

Δd

⇒ Percentage error in x=3(1)+2(3)+

2

1

(4)+

2

1

(2)=12%