Question

show that the maximum functional error in the product of two equation equal to the sum of the formation error in the individul quantities​

Answer 1

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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