• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
1,432
Reaction score
6,887
Points
523
Last edited:
Messages
108
Reaction score
156
Points
53
Messages
1,432
Reaction score
6,887
Points
523
Thanks very much. I did the question 9, i'd appreciate it if you solved the second one, I can't seem to arrive at the correct answer.

Q5)http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w05_qp_1.pd
12/6= (12-h)/r ----> (using similarity.big triangle n small triangle on top of the cylinder)
make h subject of formula n ull get ---> h=12-2r

volume of cylinder =pi*r^2*h
replace h=12-2r in the formula for volume of cylinder ull get ----> 12*pi*r^12 - 2*pi*r^3
 
Last edited:
Messages
1,432
Reaction score
6,887
Points
523
(i)
using power=force*velocity (p=fv)
v=12
p=17280
so f=17280/12 =1440

using newtons laws of motion
f=ma
(f-resistance)=ma
(1440-960)=1200*a
a=0.4

(ii)
since speed is constant, acc. =0

using newtons laws of motion
f=ma
(p/v)-resistance=ma
[(p/v)-960]=1200*0
(17280/v)=960
v=18 (HENCE SHOWN) ^_^
 
Messages
1,432
Reaction score
6,887
Points
523
Good luck for your paper.Could you please explain to the method with which you solved this?If you could post a screenshot of your working on a page it would be better ^^
Well i understood the quest in 2 different ways :p so i worked it out n i got 2 answers
i thought this one is better coz it was more "normal" :p
uhm should i write it here or shld i make i explain it live to u on twinddla whiteboard? :)
 
Messages
2,515
Reaction score
4,065
Points
273
Well i understood the quest in 2 different ways :p so i worked it out n i got 2 answers
i thought this one is better coz it was more "normal" :p
uhm should i write it here or shld i make i explain it live to u on twinddla whiteboard? :)
The latter please.It gets too confusing to work out equations here,especially due the powers and such :)
 
Messages
1,432
Reaction score
6,887
Points
523
Right here Thanks ;)
-___________- theres a lot to write :cry::cry:

*sigh*
(i)
use product rule n differenciate y=xcos0.5x
dy/dx=(cos*0.5x)-(0.5*x*sin0.5x)
d2y/dx2= -0.5*sin0.5x - [ dy/dx of the part 0.5*x*sin0.5x using product rule again)

d2y/dx2 = (-0.5sin*0.5x) - (0.5sin*0.5x) - (0.25xcos0.5x)
= -sin0.5x - 0.25 xcos0.5x


replace the d2y/dx2 in the equation given...it will be = 0

(ii)
integrate the f(x) using integration by parts (LATE)
use limits on x axis which r x=0 and x=pi
replace n solve
 
Top