Question

if Z=A*B/A+B and errors in the determination of A and B are ΔA and ΔB respectively then the fractional error in the calculation of Z is

Answer 1

Answer:

this the correct answer

Answer 2

Given:

Z=A*B/A+B

$\therefore \frac{\Delta z^{\prime}}{2}=\frac{\Delta(A \times B)}{A \times B}+\frac{\Delta(A+B)}{A+B}$

$\therefore \frac{\Delta z}{Z}=\frac{\Delta A}{A}+\frac{\Delta B}{B}+\frac{\Delta A+\Delta B}{A+B}$

Hence the calculation of Z is

ΔZ/Z = ΔA/A + Δ B/B +ΔA +ΔB/A+B