Toughest Math P3 doubts! Here.

[Thought blocker]

Hi there, only 4 days are left for P3 so I thought to make this thread for the ones appearing this session of 2016 November. Post any doubts, I promise that will be solved by me within few hours. I will be posting few solved papers, not by me, but other friends of mine. ^_^ Hope you all guys like this.
Papers :
Specimen paper qp
Specimen paper ms + WORKED SOLUTION BY ME
part 1 : 9709_s07_qp_3.xpc
Part 2 : 9709_s07_qp_3.xpc
Toughest questions :
complex numbers
Differentiation and Rational functions
Differentiation
Vectors

This are the ones I found on XPC thread by Suchal Riaz
I hope you liked this, and if you have any doubts, just post them here, and get it solved within few hours!

Thank you!

I Believe
iSean97
techgeek

XPC staff member, I saw your posts on math doubt thread, so you can also suggest the toughest question of A level P3 math!
XPFMember

 

[techgeek]

Hi there, only 4 days are left for P3 so I thought to make this thread for the ones appearing this session of 2016 November. Post any doubts, I promise that will be solved by me within few hours. I will be posting few solved papers, not by me, but other friends of mine. ^_^ Hope you all guys like this.
One paper :
part 1 : 9709_s07_qp_3.xpc
Part 2 : 9709_s07_qp_3.xpc
Toughest questions :
complex numbers
Differentiation and Rational functions
Differentiation

This are the ones I found on XPC thread by Suchal Riaz
I hope you liked this, and if you have any doubts, just post them here, and get it solved within few hours!

Thank you!

I Believe
iSean97
techgeek

XPC staff member, I saw your posts on math doubt thread, so you can also suggest the toughest question of A level P3 math!
XPFMember

thanks for the tag

 

[Thought blocker]

thanks for the tag

Do post your doubts and let me know the toughest question you encountered

 

[techgeek]

 

[techgeek]

(ii) part

 

[Thought blocker]

Hey! Thanks for posting your doubts. Sorry for the pic quality, if u dont get it, ask me!

View attachment 61264

(ii) part
View attachment 61265

 

[Thought blocker]

Here is one of the questions from vectors :

Answers to them(as my camera sucks, I had to upload a particular question in different pictures) :
(i)
https://www.facebook.com/photo.php?fbid=1807940632761334&set=p.1807940632761334&type=3&theater
https://www.facebook.com/photo.php?fbid=1807940766094654&set=p.1807940766094654&type=3&theater
https://www.facebook.com/photo.php?fbid=1807940836094647&set=p.1807940836094647&type=3&theater
(ii)
https://www.facebook.com/photo.php?fbid=1807940906094640&set=p.1807940906094640&type=3&theater
https://www.facebook.com/photo.php?fbid=1807940979427966&set=p.1807940979427966&type=3&theater
https://www.facebook.com/photo.php?fbid=1807941029427961&set=p.1807941029427961&type=3&theater
https://www.facebook.com/photo.php?fbid=1807941176094613&set=p.1807941176094613&type=3&theater
https://www.facebook.com/photo.php?fbid=1807941386094592&set=p.1807941386094592&type=3&theater
https://www.facebook.com/photo.php?fbid=1807941446094586&set=p.1807941446094586&type=3&theater

 

[Thought blocker]

I strongly recommend you all to try this specimen paper if u havent, I am going to upload its solution by tomorrow evening!
Will anyone like to help me?
techgeek

 

[Thought blocker]

techgeek Are u gonna help me?
I am done with all the questions and I am stuck at Q10(i)
can u help me in that so that I can attach its solution too?
Thanks!

 

[I Believe]

techgeek Are u gonna help me?
I am done with all the questions and I am stuck at Q10(i)
can u help me in that so that I can attach its solution too?
Thanks!

wait, I'll solve it

 

[I Believe]

techgeek Are u gonna help me?
I am done with all the questions and I am stuck at Q10(i)
can u help me in that so that I can attach its solution too?
Thanks!

 

[Thought blocker]

View attachment 61270

I dont get it yet, why u did /1m^2 ?
and at last y u did that iput - output thingy?

 

[I Believe]

I dont get it yet, why u did /1m^2 ?
and at last y u did that iput - output thingy?

we are given rate of change of volume and base area is 1 m^2 or 10000 cm^2
we know that base area x height is volume so
base area x rate of change of height(dh/dt) will be rate of change of volume (dv/dt)
since we have dv/dt and we want rate of change of height,
rate of change of height = rate of change of volume/ base area
even if you look at the units, you'll get it, that cm^3 gets cancelled with cm^2 that leaves us with cm/s which is height/time or rate of change of height...
Got it?

 

[I Believe]

I dont get it yet, why u did /1m^2 ?
and at last y u did that iput - output thingy?

input-output you can also take it as
combining two equations that we had for dh/dt

You know it's the same method that they do like dv/dt =dv/dh x dh/dt, only that we did it with understanding instead of using formula

 

[Thought blocker]

I strongly recommend you all to try this specimen paper if u havent, I am going to upload its solution by tomorrow evening!
Will anyone like to help me?
techgeek

As I promised, I will upload solutions by today.
Q10(i) is done by our XPC member I Believe.
Q6 : https://www.xtremepapers.com/community/threads/toughest-math-p3-doubts-here.44656/#post-971511
Rest attachments please find below!
Q1o (i) was quite interesting!

 

[Thought blocker]

we are given rate of change of volume and base area is 1 m^2 or 10000 cm^2
we know that base area x height is volume so
base area x rate of change of height(dh/dt) will be rate of change of volume (dv/dt)
since we have dv/dt and we want rate of change of height,
rate of change of height = rate of change of volume/ base area
even if you look at the units, you'll get it, that cm^3 gets cancelled with cm^2 that leaves us with cm/s which is height/time or rate of change of height...
Got it?

Wasnt it just 1 meter?

 

[Thought blocker]

input-output you can also take it as
combining two equations that we had for dh/dt

You know it's the same method that they do like dv/dt =dv/dh x dh/dt, only that we did it with understanding instead of using formula

Well, can u please explain then?

 

[I Believe]

Wasnt it just 1 meter?

1 m =100 cm
1m^2 = 100 x 100 cm^2

 

[I Believe]

Thought blocker are you taking A2 Maths this session too?

 

[Thought blocker]

1 m =100 cm
1m^2 = 100 x 100 cm^2

but why we taking 1m^2 ?