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The Total Resistance RR Of Two Resistors R1R_{1} And R2R_{2} , Connected in Parallel, Is

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The total resistance RR of two resistors R1R_{1} and R2R_{2} , connected in parallel, is R1R2R1+R2\frac{R_{1} R_{2}}{R_{1}+R_{2}} . R1R_{1} measures 525Ω525 \Omega with a maximum error of 35Ω35 \Omega . R2\mathrm{R}_{2} measures 375Ω375 \Omega with a maximum error of 24Ω24 \Omega . Use a differential to approximate the change in R\mathrm{R} to two significant digits.

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