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# Calculo ejercicios

Module by: DIEGO DIAZ LEON. E-mail the author

Summary: Ejercicios de Calculo diferencial

1. A un deposito cilindrico de base circular y 5 m de radio, le esta entrando agua a razon de 25l/s. Calcular la rapidez a la que sube la superficie del agua.

R=50dm

V=25 dm3/s

Dh/Dt=?

V = π r 2 h V = π r 2 h
(1)
Dv Dt =2500π ( Dh Dt ) Dv Dt =2500π ( Dh Dt )
(2)
Dh Dt = 1 2500 π ( 25 ) Dh Dt = 1 2500 π ( 25 )
(3)
Dh Dt = 1 100 π dm / s Dh Dt = 1 100 π dm / s
(4)

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