Thread: Help......Please!

Been at this for hours..

the temperature ,P, of a conductor at time, t, is given by

P=P^0[1-e-^-t/T]

Where P^0 is the initial temperature and T is a constant.

Express T in terms of P,P^0 and t and determine its value when p^0 = 190, P= 20 and t = 40

Any help would be much appreciated...Thanks

Subtract 1 from both sides:

Multiply through by -1:

Can you finish off? (use logs)

Thanks very much for the help and the hint....

Hopefully I have it sussed!

If you want to check your answers I've put mine in a spoiler

Spoiler:

Your answer will have whatever unit is in

Thanks for the spoiler, Matches what I had thankfully!

I am stuck with final question - After this hopefully thats me done with algebra!!

Show using factor theorem,that 2x-1 is a factor of...

2x^4-x^3-6x^2+5x-1

and hence express 2x^4-x^3-6x^2+5x-1 as a product of a linear & cubic factor

let
If is a factor, . That is to say, when , the quartic should equal 0.
Then, once you've proven that, take out a factor of .

Can you find the and coefficients?

Thanks, so would I be right in saying..

f(0.5)=2(0.5)^4-(0.5)^2-6(0.5)^2+5(0.5)-1??

Originally Posted by scott6162

Thanks, so would I be right in saying..

f(0.5)=2(0.5)^4-(0.5)^3-6(0.5)^2+5(0.5)-1??

Just a small typing mistake, but I'm confident you have the right idea. If that is equal to 0 (and you'll have to test it) then you've proven that is a factor. You then need to factorize the expression, and I've started you off in my above post.