Question

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

Answer 1

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