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interpretation of double integrals

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Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of:

a. [double integral over R][S(x,y)dA]

b. {[double integral over R][S(x,y)dA]}/[double integral over R][dA]

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Solution Summary

The interpretation of double integrals is provided. The expert lets R represent a county in the northern part of the united states.

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dA represents an infinitesimally small area around the point (x,y). Hence, dA = dxdy.

a. As S(x,y) represents the annual snowfall per unit area at the point ...

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