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anonymous
 one year ago
In this question... (image coming).
What is Water[t] ? Is it the integral of this function, or is it this function?
anonymous
 one year ago
In this question... (image coming). What is Water[t] ? Is it the integral of this function, or is it this function?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im wondering how you approach a problem like this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so water[t]= 21000 E^t / 4.1 + 1.2 E^t

phi
 one year ago
Best ResponseYou've already chosen the best response.3it gives the amount of water in the tank as a function of t

phi
 one year ago
Best ResponseYou've already chosen the best response.3it would be the integral of the rate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but it seems to cap out at 210000 ? when I do that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well not quite... but it stops early

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0my mistake  i misread the question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are you sure that equation is not just the fill rate? The rate of change? and I have to integrate it into a volume?

phi
 one year ago
Best ResponseYou've already chosen the best response.3the rate is approaches a limit but \[ W(t)= \int_0^T r(t) \ dt \] where r(t) is your messy expression

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im not sure if this makes sense.. but I cooked this up in mathematica.. why does it seem to start out at 210000 cu ft?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0should I be using definite integration not indefinite?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nm, I think you answered that already in your post phi

phi
 one year ago
Best ResponseYou've already chosen the best response.3there is the initial condition that W(0)= 0 (it is empty at t=0)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0integrating from 0 to T with W[0] = 0 .. empty tank.. gotcha

phi
 one year ago
Best ResponseYou've already chosen the best response.3and then rename T to t so you have W[t] that you plot as a function of t

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think this look right...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Should be good from here..
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