>starting my actuarial degree this year
>been doing work in anticipation for my first year in college because I don't go out
>look through past papers and see this
>literally no idea what's going on
why do I need this at all? this is more engineering based isn't it?
It's not
Why aren't you enjoying your summer stop slaving over your education
>>8257267
I can't my parents depend on me.
now please. I just want to understand whats going on here.
>>8257275
but why do I need to know it, it doesn't make any sense.
>>8257281
You don't, but you might need the techniques involved.
>>8257264
It wants you to differentiate theta, so because theta is only there towards the end all you need to do is remove it from the equation because it will just be a constant
So the answer for the first question would be:
Ti - T0 = alpha(Ti - constant)
To put into words the assumption about the equation all you need to say is the equation states that the difference between the temperature from the boiler and to the boiler is equal to alpha (temperature from the boiler minus temperature of the tank)
Do you understand it now?
>>8257320
I'm pretty sure that's not how it goes. unless I'm not reading it correctly and you're right but I really don't see how that's worth 6 marks.
its dtheta over d T little i
>>8257320
Are you fucking retarded?
>>8257327
Fuck off that was a legit answer I think you're the retarded one here
>>8257320
This is bait right?
>>8257320
thanks I guess
differential equations are used extensively by actuaries
hence you need to learn them
>>8258518
This
Also, the equation is just newton's law of cooling. You can look it up.
The assumption is that the water moves fast enough that the heat radiation doesnt change significantly throughout the coil, otherwise heat transfer would be proportional to dti/dt, making the system non linear and difficult to solve
>>8257264
Could anyone tell me if I made any mistakes? would appreciate the help as I have no one else to ask lol
>>8258911
ok its entirely wrong then