• 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

Log questions from Jones and Couchman! (1 Viewer)

LoveHateSchool

Retired Sept '14
Joined
Jan 30, 2009
Messages
5,136
Location
The Fires of Mordor
Gender
Female
HSC
2012
Uni Grad
2016


I scanned the page.

I need help with Question 7, I'm just totally blank on that.
And Question 8, I could show the fraction part easily, but not the hence and otherwise prove that the integral was what was said. Could not get 1/2log1.5 I was meant to be showing.

REP and eternal gratitude for help :)
I scanned the page.

I need help with Question 7, I'm just totally blank on that.
And Question 8, I could show the fraction part easily, but not the hence and otherwise prove that the integral was what was said. Could not get 1/2log1.5 I was meant to be showing.

REP and eternal gratitude for help :)
 

nightweaver066

Well-Known Member
Joined
Jul 7, 2010
Messages
1,585
Gender
Male
HSC
2012
Wow thanks for scanning it! It's so clear too haha.

I'll just give you some hints/tips.

7. Notice how the degree of the numerator is the same as the degree of the denominator.

This means you can reduce it.

E.g. for this,







Apply a similar process to that question, then you can integrate both terms.
 

nightweaver066

Well-Known Member
Joined
Jul 7, 2010
Messages
1,585
Gender
Male
HSC
2012
For question 8, you showed that two terms are equivalent to another. Notice how the RHS of that expression is very similar to the actual integral?

You could divide both sides by two then integrate that expression.

So,











 

CcYann

Member
Joined
Apr 9, 2012
Messages
51
Gender
Undisclosed
HSC
2012


I scanned the page.

I need help with Question 7, I'm just totally blank on that.
And Question 8, I could show the fraction part easily, but not the hence and otherwise prove that the integral was what was said. Could not get 1/2log1.5 I was meant to be showing.

REP and eternal gratitude for help :)
I scanned the page.

I need help with Question 7, I'm just totally blank on that.
And Question 8, I could show the fraction part easily, but not the hence and otherwise prove that the integral was what was said. Could not get 1/2log1.5 I was meant to be showing.

REP and eternal gratitude for help :)
here the answer I did. hope it helps :)
photo.JPG
 

LoveHateSchool

Retired Sept '14
Joined
Jan 30, 2009
Messages
5,136
Location
The Fires of Mordor
Gender
Female
HSC
2012
Uni Grad
2016
^Thank you so much both of you.

Nightweaver, I got the Q7 out by following the pattern of your example one. I'll have to look for more Qs to practice of that type, it's not really something I've done much of.
 

jmadden

Member
Joined
Feb 10, 2012
Messages
40
Location
Coffs Harbour.
Gender
Male
HSC
2013
my school uses J&C too.
and i dont know any other school that does.
it was published 30 years ago.
i think the way in which they have explained the content is outdated, though the questions are great.
what do you think and how do you like the text?
 

D94

New Member
Joined
Oct 5, 2011
Messages
4,423
Gender
Male
HSC
N/A
For Q7, you don't require polynomial long division, but you should still be able to recognize that the numerator has factors of the denominator:
 

iSplicer

Well-Known Member
Joined
Jun 11, 2008
Messages
1,809
Location
Strathfield
Gender
Male
HSC
2010
Uni Grad
2017
For Q7, you don't require polynomial long division, but you should still be able to recognize that the numerator has factors of the denominator:
Nice solution, but I think what you've basically done is long-division on-the-go =P
 

D94

New Member
Joined
Oct 5, 2011
Messages
4,423
Gender
Male
HSC
N/A
Nice solution, but I think what you've basically done is long-division on-the-go =P
That's true, but since 2U don't learn polynomial long division (ie. the fully set out method), an intuitive method it to recognize the factor of the denominator in the numerator then split up the polynomial. Sure, it's essentially long division, but since it's such an easy question, you could do it in your head, ie. you could got from line 1 to line 3 or 4, then the answer. But yes, I agree with you.
 

LoveHateSchool

Retired Sept '14
Joined
Jan 30, 2009
Messages
5,136
Location
The Fires of Mordor
Gender
Female
HSC
2012
Uni Grad
2016
To jmadden,
I don't like the textbook, it's not user friendly, esp. cause we used a mixed 3 unit edition so obviously have to disregard some stuff. Questions are fine if you find the type you are looking for.
 

iSplicer

Well-Known Member
Joined
Jun 11, 2008
Messages
1,809
Location
Strathfield
Gender
Male
HSC
2010
Uni Grad
2017
That's true, but since 2U don't learn polynomial long division (ie. the fully set out method), an intuitive method it to recognize the factor of the denominator in the numerator then split up the polynomial. Sure, it's essentially long division, but since it's such an easy question, you could do it in your head, ie. you could got from line 1 to line 3 or 4, then the answer. But yes, I agree with you.
Very valid points. My apologies, I didn't recognise that the question may have been presented in a 2u context.
 

iSplicer

Well-Known Member
Joined
Jun 11, 2008
Messages
1,809
Location
Strathfield
Gender
Male
HSC
2010
Uni Grad
2017
To jmadden,
I don't like the textbook, it's not user friendly, esp. cause we used a mixed 3 unit edition so obviously have to disregard some stuff. Questions are fine if you find the type you are looking for.
And yeah, absolutely agreed. I never used Couchman, always stuck to pender's Cambridge. Quality book. :p
 

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

Top