Question

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 ?

Answer 1

diffrentiaate w.r.t time

Answer 2

w=100(t-15)^2
dw=200(t-15)dt

Answer 3

so t=5

dw/dt=200(5-15)

=-2000 gal/min

Answer 4

so min is 5 u can solve @hba

Answer 5

yup

Answer 6

But the - sign shows that the water was running out ?

so 2000 gal/min ?

Answer 7

@Galaxyy

Answer 8

exactly

Answer 9

Thanks.