A vessel is being filled at a variable rate and the volume of liquid in the vessel at any time t is given by: V=A(1-e^-kt) b) If one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next five minutes.
Last edited by mr fantastic; May 22nd 2010 at 06:03 AM.
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Originally Posted by Lukybear A vessel is being filled at a variable rate and the volume of liquid in the vessel at any time t is given by: V=A(1-e^-kt) b) If one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next five minutes. What does A stand for in this equation?
Originally Posted by Lukybear A vessel is being filled at a variable rate and the volume of liquid in the vessel at any time t is given by: V=A(1-e^-kt) b) If one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next five minutes. Start by noting that the capacity of the vessel is A (since V ---> A as t ---> +oo). Therefore V = A/4 when t = 5. Use this to solve for k. Now find (in terms of A) V when t = 10 etc.
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