MAT Prep Thread - 2nd November 2016 - Page 54

Guys calm down. Last year I was freaking out and felt really nervous before the exam but I came out with a 92. So don't stress yourself! Give yourself some time to relax :smile:

Reply 1065

Insecure

Original post by RuairiMorrissey

I personally wouldn't but I guess (?) you could say it's just a bunch of ones? Not something i'd personally agree with but I can see where someone could come from with that.

Uh yeah "just a bunch of ones" doesn't seem like a very mathematical statement.

1, 1, 1, 1... has first term 1, common difference 0 (hence an AP) or common ratio 1 (hence a GP).

Reply 1066

AmanGottu

Original post by Insecure

Guys calm down. Last year I was freaking out and felt really nervous before the exam but I came out with a 92. So don't stress yourself! Give yourself some time to relax :smile:

What course are you studying?

Reply 1067

Insecure

Original post by AmanGottu

What course are you studying?

I'm a mathmo at Trinity, Cambridge.

Reply 1068

DavidBick

Original post by Insecure

I'm a mathmo at Trinity, Cambridge.

How/when did you find out your mark? I'm going for Trinity Maths this year!

Reply 1069

Zacken

Original post by DavidBick

How/when did you find out your mark? I'm going for Trinity Maths this year!

Email Imperial and ask them to give it to you around February.

Reply 1070

Insecure

[QUOTE=Zacken;68338828]Email Imperial and ask them to give it to you around February.

Yup. I got mine in march.

Reply 1071

username1162972

Original post by dfbenjamin

Anyone got any last tips?

Yes, be careful on time in MC, everyone ends up spending too much on it.
Spend 40-45 minutes no more.

Posted from TSR Mobile

Reply 1072

username1162972

Original post by Zacken

Email Imperial and ask them to give it to you around February.

March u waste

Posted from TSR Mobile

Reply 1073

AGFilsell

Morning is here! Good luck everybody 💗

Reply 1074

Samiksi

Where do write rough work for longer questions?

Reply 1075

AmanGottu

Original post by Samiksi

Where do write rough work for longer questions?

I think we can use the pages of problems we dont have to solve but im not sure...

Reply 1076

denkata

Original post by some-student

First we want to deal with the

\int_{-1}^{1} f(t) \; \mathrm{d}t

. This is the same as

\int_{-1}^{1} f(x) \; \mathrm{d}x

, as it is simply the area under the curve between -1 and 1 and the difference in t and x makes no difference as t^3 vs x^3 for example are identical functions (when sketched).

We can call this integral

u

, and we are also solving for this as per the question.

Rewriting the equation in the question, we get

6 + f(x) = 2f(-x) + 3ux^2

.

We now integrate the equation between -1 and 1 to try and get our solution

12 + u = 2u + 2u

(Note that the area under

f(-x)

is the same as that under

f(x)

as it is only a reflection in the x-axis and hence does not affect the area)

This can be easily solved to get

u = 4

Thank you so much! Good luck if you're taking it today.

Reply 1077

Samiksi

Original post by AmanGottu

I think we can use the pages of problems we dont have to solve but im not sure...

Thank you. And this is the very last question: if the problem asks to sketch a graph, do I just sketch the graph, pointing out the turning points and the intersections, or explain with formulae what I am doing?