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 I0 is the standard reference intensity.


What is the magnitude of an earthquake that has intensity 10 millions times that of I0?

R = __________

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.
?
__________I0

What will be an ideal response?


7; 23,026

Mathematics

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What will be an ideal response?

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