A physical parameter \( a \) can be determined by measuring the parameters b, c, d and e using t...
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A physical parameter \( a \) can be determined by measuring the parameters b, c, d and e using the relation \( a=b^{\alpha} c^{\beta} / d^{\gamma} e^{\delta} \). If the maximum errors in the measurement of \( \mathrm{b}, \mathrm{c}, \mathrm{d} \) and \( e \) are \( b_{1} \%, c_{1} \%, d_{1} \% \) and \( e_{1} \% \), then the maximum error in the value of \( a \) determined by the experiment is
(a) \( \left(b_{1}+c_{1}+d_{1}+e_{1}\right) \% \)
(b) \( \left(b_{1}+c_{1}-d_{1}-e_{1}\right) \% \)
(c) \( \left(\alpha b_{1}+\beta c_{1}-\gamma d_{1}-\delta e_{1}\right) \% \)
(d) \( \left(\alpha b_{1}+\beta c_{1}+\gamma d_{1}+\delta e_{1}\right) \% \)
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