• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Q16 (3 Viewers)

medicore

Member
Joined
Jun 3, 2012
Messages
215
Gender
Undisclosed
HSC
2012
wow, you guys are boss. I couldn't do 16 B and C LOL, A was good.
 

mytstephen

New Member
Joined
Feb 21, 2011
Messages
15
Gender
Male
HSC
2012
radians/degrees?=/

Hey
For question 16)b)iv)... about finding theta that gives the minimum area of the trapezium... I wrote 30 degrees instead of in radian form (pi/6)...

Do you think I'll loose marks for this?
I surprised myself by even getting that far... it'd suck if I don't get the mark for it=/

THANKS
 

Kimyia

Active Member
Joined
Oct 21, 2011
Messages
1,013
Gender
Female
HSC
2012
Uni Grad
2016
Re: radians/degrees?=/

I'd say it depends on the marking critera, but it did say 0 < theta < pi/2 so I think they would have preferred radians :\
But then again, its still the same thing so I'm not sure.
 

cookeemonstah

Member
Joined
Jul 30, 2012
Messages
110
Gender
Male
HSC
2012
Re: radians/degrees?=/

iono cant remember if question asked for radians. If it did then ... gg

cant remember if they gave out half marks or not.
 

freeeeee

Member
Joined
Oct 31, 2011
Messages
282
Gender
Male
HSC
2012
dam was it pi/6, haha i got like 47degrees
 
Last edited:

usmas

New Member
Joined
Sep 7, 2010
Messages
4
Gender
Male
HSC
2012
C(I) that was just probability: P=(1/n^k-1){k(n-1)/(n-k)x(n-2)/(n-k-1)x...(n-k)/(...)} then simplify
C(II) substitition of k+1 in I, then solve simultaneous
(III) look for discrimant
(iv)??
 

Timske

Sequential
Joined
Nov 23, 2011
Messages
794
Gender
Male
HSC
2012
Uni Grad
2016
C(I) that was just probability: P=(1/n^k-1){k(n-1)/(n-k)x(n-2)/(n-k-1)x...(n-k)/(...)} then simplify
C(II) substitition of k+1 in I, then solve simultaneous
(III) look for discrimant
(iv)??
16C had 2 parts, wrong thread
 

megaman64

Member
Joined
May 1, 2011
Messages
178
Gender
Undisclosed
HSC
2012
Re: radians/degrees?=/

did you have to prove this is a minimum by doing 2nd derivative because i just finished the question by writing pi/6
 

eat_well

Member
Joined
Oct 17, 2011
Messages
305
Gender
Female
HSC
2012
For 16.c)ii)

Rearrange 4c=1+4r^2
c=1/4+r^2
r^2=c-1/4
r=(c-1/4)^2

If you take the square root of 1/4, you get 1/2
Since r>0 then c>1/2

I made silly mistakes everywhere else in the paper though and i didn't get 16.c)i)
 

mytstephen

New Member
Joined
Feb 21, 2011
Messages
15
Gender
Male
HSC
2012
Re: radians/degrees?=/

did you have to prove this is a minimum by doing 2nd derivative because i just finished the question by writing pi/6
Yeah I proved it was a minimum and everything... it's just that it's in degrees...
 

DefiningTheta

Member
Joined
Aug 6, 2012
Messages
124
Gender
Male
HSC
2012
Uni Grad
2018
Re: radians/degrees?=/

The domain was between 0 < theta < pi/2
 

gr_111

Member
Joined
May 2, 2012
Messages
162
Gender
Male
HSC
2012
This is for 16b)

gradient OT = tan theta, therefore gradient tp = -1/tan theta...

point T is (cos theta, sin theta) and use equation of a line formula
 
Last edited:

nirukk

Member
Joined
Jun 26, 2011
Messages
62
Gender
Male
HSC
2012
This is for 16b)

gradient OT = tan theta, therefore gradient tp = -1/tan theta...

point T is (sin theta, cos theta) and use equation of a line formula
Point T is (cos theta, sin theta) or the other way around ?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 3)

Top