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The total number of inches R(t) of rain during a storm of length t hours can be approximated by R(t) = at t + b , where a and b are positive constants that depend on the geographical locale. (a) Discuss the variation of R(t) as t → ∞.

The total number of inches Rt of rain during a storm of length t hours can be approximated by Rt at t b where a and b are positive constants that depend on the class=

Respuesta :

If we divide  the numerator and denominator by t we get

     a
---------
 1 + b/t

AS t approaches infinity  b/t approaches zero 

so R(t) = total inches of rain approaches  the costant a.

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