hba
The amount of water in the tank is 't' after it has started to drain is given by w=100(t-15)^2 gallon.The water is running out after 5 min at rate of ?
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Galaxyy
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diffrentiaate w.r.t time
hba
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w=100(t-15)^2
dw=200(t-15)dt
hba
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so t=5
dw/dt=200(5-15)
=-2000 gal/min
Galaxyy
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so min is 5 u can solve @hba
Galaxyy
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yup
hba
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But the - sign shows that the water was running out ?
so 2000 gal/min ?
hba
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@Galaxyy
Galaxyy
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exactly
hba
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Thanks.