The absolute errors in four questions A, B, C and D are known to be ΔA, ΔB, ΔC and ΔD respectively. Find the relative error in Z if Z=A4B1/3CD3/2.

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ΔZZ=4ΔAA+13ΔBB+ΔCC+32ΔDD

ΔZZ=4ΔAA+13ΔBB−ΔCC−32ΔDD

ΔZZ=4ΔAA+13ΔBB+ΔCC−32ΔDD

ΔZZ=4ΔAA+13ΔBB−ΔCC+32ΔDD

answer is A.

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Detailed Solution

Z=A4B1/3CD3/2 The relative error in Z is given byΔZZ=4ΔAA+13ΔBB+ΔCC+32ΔDD

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