Question

Show that the fractional error in the quotient of two quantities is equal to the sum of their iindividual fractional error


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Answer 1

Answer:

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Step-by-step explanation:

suppose

• Z=X+Y..........(1)

then , final value of Z is

• Z=(X + ∆X) + (Y + ∆Y)

where ∆x and ∆Y are the maximum possible of errors in X and Y respectively.

If maximum possible errors in Z is + ∆Z then,

• Z + ∆Z=(X + ∆X) + (Y + ∆Y)
• =[X+Y] + (∆X + ∆Y)

• or, ∆Z=∆X + ∆Y

therefore the maximum possible errors in the final value is the sum of individual absolute errors.

Answer 2

Answer:

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