I don't believe there is enough info given.
Most likely it is a typo and the requirement is actually the starting temperature.
In this case a way to do it would be:
An energy balance on the oil,
m.Cp.[T - T0] = q.t
(assuming heating starts at t=0)
So,
T(t) = (q/m/Cp)t +...
Aah thanks for the help gentlemen (hmm I'm assuming you're all male...).
I was not previously aware of the exact definition of a 'bound'.
I will return to my book this weekend & hopefully make some progress past the first page.
Phase change
The temperatures 77 & 90 °K correspond to the liquefaction (boiling points) of Oxygen & Nitrogen respectively.
The pressure drops due to the removal of gas molecules from the vapour phase into the more condensed phase of liquid.
"100 is an upper bound for this set A"
How can it be an upper bound if it is not even in the set ?
Yes there was sort of a typo, I actually meant
A = [0] \cap [1,2)
Sorry people, when I wrote 0.9999.. I meant a finite number of 9s and then zeros, not 9s infinitely recurring. Poorly specified it was. But I think I get the point about the existence of a maximum.
Now when NateTG says 100, n and 1 are all upper bounds for the set (0,1) I'm confused once...
Oh dear, more questions...
NateTG & suyver,
Thank you, both for the Wolfram link which I'm finding quite useful, and the example you provided.
Although I'm considerably demystified there is still some confusion for which I hope you have patience:
The open interval A=[0,1) is all numbers...
I'm trying to understand a text, 'Dynamics on Time Scales'.
Some of you may be familiar with this subject.
Unfortunately, the first page has already confused me. So it appears that I'm either a math retard or it's been so long since my university courses that new things have arisen that I'm...