Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

STEP 2016 Solutions

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Original post by riquix

Are we allowed to post Step III solutions yet?

Yes

Edit: no

(edited 7 years ago)

Original post by riquix

Are we allowed to post Step III solutions yet?

I believe you have to wait 24 hours after the start time of the exam, i.e. you have to wait until 2pm

Original post by 1 8 13 20 42

I believe you have to wait 24 hours after the start time of the exam, i.e. you have to wait until 2pm

Ah right

Grade boundary predictions?

Original post by Shrek1234

Grade boundary predictions?

No discussion until 2pm (BST) :smile:

:smile:

Posted from TSR Mobile

(edited 7 years ago)

username1162972

2pm **** sake

username1258398

saving this space for question 7

don't steel it :<

so grade boundary predictions?

OP

STEP III: Question 4

Sum to N

Sum to infinity

Hyperbolic sum

(edited 7 years ago)

username1162972

Original post by Zacken

STEP III: Question 4

Sum to N

Sum to infinity

Hyperbolic sum

Yes so, I did the right thing for last part but didnt simplify and ofcourse i used x=e^2y. Lose like 5?

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I'll post a solution to 8 if you'd like?

Original post by student0042

I'll post a solution to 8 if you'd like?

Please do

username1162972

Q2 is my *****. Had a beauty to that, it was eazy. Need to go pick up my little brother first.

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username1258398

EDIT:
someone else do q7, Latex ****ing trolled me hard

(edited 7 years ago)

Q12 is mine guys :wink:

:wink:

Posted from TSR Mobile

Anyone got a copy of the paper yet?

Original post by Mathemagicien

2 late

😥😥 I cri

Original post by Shrek1234

Please do

Alright Q8. I don't have access to a paper, so I may have remembered the question incorrectly, but I got the same answers as yesterday, so...
STEP III 2016 Q8 1.jpg

STEP III 2016 Q8 1.jpg

bagsy q1

I_n = \int^{\infty}_{-\infty}\frac{1}{(x^2 + 2ax + b)^n} dx[br] Using the substitution:

x + a = \sqrt{b-a^2} \tan u

\Rightarrow \frac{dx}{du} = \sqrt{b-a^2} \sec ^2 u

\Rightarrow I_n = \int^{\infty}_{-\infty}\frac{1}{((x+a)^2 + b - a^2)^n} dx

\Rightarrow I_n = \int^{\pi/2}_{-\pi/2}\frac{\sqrt{b-a^2}\sec ^2 u}{((b-a^2)\tan ^2 u + (b-a^2))^n } du

\tan ^2 u + 1 = \sec ^2 u

I_n = \int^{\pi/2}_{-\pi/2}\frac{\sqrt{b-a^2}\sec ^2 u}{((b-a^2)\sec ^2 u)^n } du

I_n = \int^{\pi/2}_{-\pi/2}\frac{1}{(b-a^2)^{n-\frac{1}{2}} \sec ^{2n-2} u } du

i) Find\ I_1

I_1 = \int^{\pi/2}_{-\pi/2}\frac{1}{(b-a^2)^{\frac{1}{2}}} du

I_1 = \left[ \frac{x}{(b-a^2)^\frac{1}{2}} \right]_{-\pi/2}^{\pi/2}

I_1 = \frac{\pi}{\sqrt{b-a^2}}\ as\ required

apparently my latex is ugly

(edited 7 years ago)

Original post by Mathemagicien

...

Q 12 was beautiful, probably the easiest STEP III stats question ever.

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