Will the real TeeEm please stand up!

That's more like it

How did your step exams go?

I just updated the file you are after

http://madasmaths.com/archive/maths_booklets/advanced_topics/laplace_transforms.pdf

this has heaviside function, impulse function and periodic functions.

hope it is useful.

Odd. Think i got grade 1 in step II but grade 2 in III. But lets see. I made a terrible choice of questions in III and was slower then I usually am.
Wbu?

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34 days to A level results

Question for Friday 10/07/15
A Level Maths upwards

Here's the way I did it if you're interested, I think it may be slightly quicker

31 days to A level results

Question for Monday 13/07/15
AS Level Maths Upwards

Im guessing i cant use AM GM straight


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I have no idea if there are alternatives ...

From my point of view, as the question ,maker it is difficult to see anything else apart from one method, because I started from the answer and worked "backwards".

I am guessing this is a hard question, soon to go into my Special papers.

By AM GM arithematic mean>=geometric mean
Let three numbers be a^3 b^3 b^3
Rewrite as (a^3+b^3+b^3)/3>=((abb)^3)^1/3
Simplifies to answer.


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I guess you can ...

But there is a method without specialized knowledge.

Yes I am gona try to do it via that method later on.


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31 days to A level results

Question for Monday 13/07/15
AS Level Maths Upwards

33 days to A level results

Question for Saturday 11/07/15
AS Level Maths upwards

I think the forth last step (in the solution) has a "printing" error in it. Otherwise how did the 4/(k+4) turn into a 1/(k+4) . This also may have affected the paper, because then the 1/f(k) inside the bracket should be a 4/f(k) .