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(C) The given relation is $A = \frac{p^{1/2} q^{1/2}}{r^2 s^3}$.The relative error in $A$ is given by the formula:$\frac{\Delta A}{A} = \frac{1}{2} \f

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(C) The given relation is $A = \frac{p^{1/2} q^{1/2}}{r^2 s^3}$.The relative error in $A$ is given by the formula:$\frac{\Delta A}{A} = \frac{1}{2} \frac{\Delta p}{p} + \frac{1}{2} \frac{\Delta q}{q} + 2 \frac{\Delta r}{r} + 3 \frac{\Delta s}{s}$.Given percentage errors are:$\frac{\Delta p}{p} 	imes 100 = 1\%$$\frac{\Delta q}{q} 	imes 100 = 3\%$$\frac{\Delta r}{r} 	imes 100 = 0.5\%$$\frac{\Delta s}{s} 	imes 100 = 0.33\%$Substituting these values into the expression for percentage error in $A$:$\frac{\Delta A}{A} 	imes 100 = \frac{1}{2}(1\%) + \frac{1}{2}(3\%) + 2(0.5\%) + 3(0.33\%)$$= 0.5\% + 1.5\% + 1.0\% + 0.99\%$$= 3.99\% \approx 4\%$.

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