On the Richter Scale, the Magnitude R of an Earthquake

question 98

Essay

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 ? __________
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.
__________

---

Definitions:

Expansionary Monetary Policy

A form of monetary policy where the central bank increases the money supply and decreases interest rates to stimulate economic growth.

Net Exports

The value of a country's total exports minus its total imports, representing the net effect of international trade on an economy’s spending balance.

Demarcation

The act of setting boundaries or distinguishing differences between things, often used to establish sectors within fields or professions.

Commercial Banks

Financial institutions that accept deposits, offer checking account services, and provide business, personal, and mortgage loans.