Question
Download Solution PDFIf Z = \(\frac{A^{2} B^{3}}{C^{4}}\), then the relative error in Z will be :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given, Z = \(\frac{A^{2} B^{3}}{C^{4}}\)
or, Z = A2B3C-4 ----- (1)
∵ Errors always get added, we can write equation (1) in terms of relative error as-
\(\frac{\Delta Z}{Z}=2\frac{\Delta A}{A} + 3\frac{\Delta B}{B}+4\frac{\Delta C}{C}\)
Hence, Option 3) is the correct choice.
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