quotient of two observed quantities of X=a/b (∆X/X)=(∆a\a)+(∆b/b)
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Answer:
Error in A + B = ±ΔA ±ΔB
max error in A + B = ∆A + ∆B
Explanation:
Z = A/B
=> Z ± ∆Z = (A±ΔA / B±ΔB)
=(A/B) (1 ± ∆A/A)/(1 ± ∆B/B)
=> 1 ± ∆Z/Z = (1 ± ∆A/A)(1 ± ∆B/B)^-1
=> 1 ± ∆Z/Z= (1 ± ∆A/A) (1 -+ ∆B/B)
=> ± ∆Z/Z = ± ∆A/A -+ ∆B/B
=> ∆Z/Z = ∆A/A + ∆B/B
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