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On the Richter Scale, the Magnitude R of an Earthquake

Question 60

Multiple Choice

On the Richter scale, the magnitude R of an earthquake is given by the formula On the Richter scale, the magnitude R of an earthquake is given by the formula   where I is the intensity of the earthquake being measured and I<sub>0</sub> is the standard reference intensity. Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake. Round your answer to the nearest integer. ​ A)  23,026I<sub>0</sub> B)  23,086I<sub>0</sub> C)  22,966I<sub>0</sub> D)  22,906I<sub>0</sub> E)  23,146I<sub>0</sub> where I is the intensity of the earthquake being measured and I0 is the standard reference intensity. Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake. Round your answer to the nearest integer. ​


A) 23,026I0
B) 23,086I0
C) 22,966I0
D) 22,906I0
E) 23,146I0

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