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
is the standard reference intensity.
What is the magnitude of an earthquake that has intensity 10 millions times that of ?
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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.
Hint: Observe that and use logarithmic differentiation.Round your answer to the nearest integer.
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Correct Answer:
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