The energy E (in joules) radiated as seismic waves by an earthquake of Richter magnitude M satisfies log10 E = 4.8 + 1.5M.(a) Show that whenM increases by 1, the energy increases by a factor of approximately 31.5.(b) Calculate dE/dM.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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The energy E (in joules) radiated as seismic waves by an earthquake of Richter magnitude M satisfies log10 E = 4.8 + 1.5M.
(a) Show that whenM increases by 1, the energy increases by a factor of approximately 31.5.
(b) Calculate dE/dM.

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