• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

HSC 2015 Maths Marathon (archive) (1 Viewer)

Status
Not open for further replies.

VBN2470

Well-Known Member
Joined
Mar 13, 2012
Messages
440
Location
Sydney
Gender
Male
HSC
2013
Uni Grad
2017
Re: HSC 2015 2U Marathon

NEW QUESTION:

Find the exact value of for which the graphs and have a common tangent at their point of contact.
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

NEW QUESTION:

Find the exact value of for which the graphs and have a common tangent at their point of contact.
Hint: Only way they can have a common tangent is if the graph y=mx is the tangent.
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

Can someone do the working out, I'm getting a different answer (-2 and 2).
If you substitute your answers you get 0^0 = 1 ... which is not true. Ill post my solution now
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon






Should've done this part from the beginning :




 

VBN2470

Well-Known Member
Joined
Mar 13, 2012
Messages
440
Location
Sydney
Gender
Male
HSC
2013
Uni Grad
2017
Re: HSC 2015 2U Marathon

Basic Idea is for , for all integers and for all even integers .
 

Pro12

New Member
Joined
Sep 25, 2015
Messages
1
Gender
Male
HSC
2015
Re: HSC 2015 2U Marathon

I need exam tips pls tell me I fucking need it Appreciate LOLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

I need exam tips pls tell me I fucking need it Appreciate LOLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
Take it slowly and be careful of silly mistakes by checking straight after you do it. Also don't just stare at the question do something to trigger things in your brain. If you end up giving up write everything you know about the question on the paper you're bound to get some marks.
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

Task 1 last question from my school when i was in 2 unit (plz non 2unit people give others a chance) :



 

astroman

Well-Known Member
Joined
May 12, 2014
Messages
7,069
Location
Las Vegas
Gender
Male
HSC
2015
Re: HSC 2015 2U Marathon

I need exam tips pls tell me I fucking need it Appreciate LOLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
Start from the first question, don't be tempted to go straight to the big mark questions, the exam is set from easy to hard, starting from easy will get ur brain prepped for the rapage that awaits you.
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

Start from the first question, don't be tempted to go straight to the big mark questions, the exam is set from easy to hard, starting from easy will get ur brain prepped for the rapage that awaits you.
Not true. Question 15 tends to be the hardest while question 16 is similar in difficulty to question 14.
 

keepLooking

Active Member
Joined
Aug 25, 2014
Messages
477
Gender
Male
HSC
2015
Re: HSC 2015 2U Marathon

Task 1 last question from my school when i was in 2 unit (plz non 2unit people give others a chance) :



I knew that was familiar, I found it in the BOS trials. The trial paper I thoroughly struggled in.
 

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

I knew that was familiar, I found it in the BOS trials. The trial paper I thoroughly struggled in.
No wayyyyyyy my teacher took it from the BOS trials :L ?....
I thought he made it
 

kawaiipotato

Well-Known Member
Joined
Apr 28, 2015
Messages
463
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

Usually i would do this :









How did you know f(x) was linear? It could have been something like a cubic and the x^3 could just cancel each other out
edit: nevermind, the coefficients are different so there's no way x^3 could cancel out. Wondering if there's an alternative method to this question though. Tried doing x --> -x giving me f(x) + f(-x) = 6 but that's it
 
Last edited:

Drsoccerball

Well-Known Member
Joined
May 28, 2014
Messages
3,650
Gender
Undisclosed
HSC
2015
Re: HSC 2015 2U Marathon

How did you know f(x) was linear? It could have been something like a cubic and the x^3 could just cancel each other out
edit: nevermind, the coefficients are different so there's no way x^3 could cancel out. Wondering if there's an alternative method to this question though. Tried doing x --> -x giving me f(x) + f(-x) = 6 but that's it
If they had the same coefficients then as i said i'd do a series like i stated
 
Status
Not open for further replies.

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top