View Full Version : A-level maths integration
albear
Apr 28, 2007, 09:10 AM
the volume of liquid Vcm^3 at time t seconds satisfies
-15dV/dt=2V-450
given that the volume is 300cm^3 find to the nearest cm^3 the volume after 15 seconds
galactus
Apr 28, 2007, 10:56 AM
Work this one the same way as I showed you in the other post.
Separate variables and use V(0)=300 to find C.
albear
Apr 29, 2007, 07:58 AM
OK I get to
(integrate) -15(2V-450)^-1=(integrate)dt
(=) ? =t+c
I'm not sure how to solve my left hand side (but am I on the right track so far)
galactus
Apr 29, 2007, 08:28 AM
Separate variables:
-15\frac{dV}{dt}=2(V-225)
\frac{dV}{V-225}=\frac{-2}{15}dt
Now, continue. Same way as other post. Let me know if you get hung up.
Give it a earnest go first, though. :)
albear
Apr 29, 2007, 09:03 AM
Thanks I got it now
albear
Apr 29, 2007, 09:03 AM
Thanks for the help