Example 2.11 Find the relative error in z. if Z =A^4B^1/3÷CD^3/2​

Question

Example 2.11 Find the relative error in
z. if Z =A^4B^1/3÷CD^3/2​

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Mia 2 weeks 2021-11-15T07:48:59+00:00 1 Answer 0 views 0

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    2021-11-15T07:50:01+00:00

    Answer:

    Step-by-step explanation:

    on :

    ΔZZ=4(ΔAA)+13(ΔBB)+ΔCC+32(ΔDD)

    Given that ΔAA×100=4ΔBB×100=2,ΔCC×100=3 and ΔDD×100=1

    ∴ΔZZ×100(4×4)+(13×2)+3+(32×1)

    =1.6+23+3+32=6.76%

    The percentage error in the measurement of Z is 6.76%

    Therefore, the relative error in Z is 0.0676

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