• 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
681
Reaction score
438
Points
73
How was mechanics, you guys ? Mine was good Alhamdulillah... :)
No discussion of the questions allowed though :p
 
Messages
345
Reaction score
394
Points
63
How was mechanics, you guys ? Mine was good Alhamdulillah... :)
No discussion of the questions allowed though :p
Till Q 5 it was perfect Alhamdulillah! messed up a bit in Q6 ii) thou. :/
But hopefully it was good. :D
Cheers! now math p3 and chem p4 !! Life never gives us a break! :p
 
Messages
1,601
Reaction score
553
Points
123
need help with paper 3 may/ june 2009 question no. 6
ummm okay :)
here's part 1 )
dy/d(t)=3asin^2t(cost)
d(x)/d(t)=-3a sint cos^2t
d(y)/d(x)=3a sin^2t cost/-3a sint cos^2t
dy/d(x)=-tant

now for part 2 (the tricky bit :p )
.gradient=-tant , x=acos^3t, y=asin^3t
y-asin^3t= -tant(x-acos^3T)
y-asin^3t=-(sint/cost)x+(sint/cost)acos^3t
ycost-asin^3tcost=-xsint+asintcos^3t
xsint +ycost=asintcost(cos^2t+sin^2t)
xsint+ycost= asintcost

and part 3 :)
for y-intercept put y=0,
xsint+o= asintcost
x=acost
for y-intercept put x=0
0+ycost=asintcost
y=asint
coordinates of x are (acost,0)
coordinate of y are (0, asint)
lenght=((acost)^2+(asint)^2)^1/2
=(a^2cost^2+a^2sint^2)^1/2
=(a^2(cos^2t+sin^2t))^1/2
=(a^2)^1/2
=a
you get it ?
 
Messages
3
Reaction score
0
Points
1
ummm okay :)
here's part 1 )
dy/d(t)=3asin^2t(cost)
d(x)/d(t)=-3a sint cos^2t
d(y)/d(x)=3a sin^2t cost/-3a sint cos^2t
dy/d(x)=-tant

now for part 2 (the tricky bit :p )
.gradient=-tant , x=acos^3t, y=asin^3t
y-asin^3t= -tant(x-acos^3T)
y-asin^3t=-(sint/cost)x+(sint/cost)acos^3t
ycost-asin^3tcost=-xsint+asintcos^3t
xsint +ycost=asintcost(cos^2t+sin^2t)
xsint+ycost= asintcost

and part 3 :)
for y-intercept put y=0,
xsint+o= asintcost
x=acost
for y-intercept put x=0
0+ycost=asintcost
y=asint
coordinates of x are (acost,0)
coordinate of y are (0, asint)
lenght=((acost)^2+(asint)^2)^1/2
=(a^2cost^2+a^2sint^2)^1/2
=(a^2(cos^2t+sin^2t))^1/2
=(a^2)^1/2
=a
you get it ?


but what about c in part 2
and why is it y-asin^3t= -tant(x-acos^3T)
shouldn't it be asin^3t= -tant(acos^3T)
because its y=tant+c
 
Messages
1,601
Reaction score
553
Points
123
but what about c in part 2
and why is it y-asin^3t= -tant(x-acos^3T)
shouldn't it be asin^3t= -tant(acos^3T)
because its y=tant+c
umm i substituted my values in (y-y1)=m(x-x1) where y1 and x1 are the co-ordinates
if you want it in the y=mx + c format i guess you could do it
if you don't get it .........then i will try it with y=mx+c and do it for you :)
 
Messages
681
Reaction score
1,731
Points
153
PhyZac Can you please help me with November 2001 paper 6 Question 7.I'd be grateful if you gave a detailed explanation.Thanks!!
Here is the question:
A bag contains 7 orange balls and 3 blue balls.4 balls are selected at random from the bag,without replacement.Let X denote the number of blue balls selected.
i.Show that P(X=0)=1/6 and P(X=1)=1/2
ii.Construct a table to show the probability distribution of X.
(i)
So P(X=0) means when no blue is taken,
it will be
7/1o x 6/9 x 5/8 x 4/7 = 1/6
first 7 orange from 10 total, then 6 from 9 total (because one is taken) etc..

P(X=1)
(7x6x5x3) / (10x9x8x7) x 4 = 1/2
we will take 3 from orange so first 7 then 6 then 5 left, for blue we take once so only 3
down is total number, that is, 10 then 9 , 8 ,7
x4 because blue can be taken first second third or fourth

(ii)
for 0 we know 1/6
for 1 we know 1/2
for 2 it will be 4C2 x (3x2x7x6) / (10x9x8x7) = 3/10 [i take 4 combine 2 to get how many ways can we get 2 blues]
for 3 it will be 4C3 x (3x2x1x7) / (10x9x8x7) = 1/30

X=x..... || 0 || 1 || 2 |||| 3 |
P(X=x) |1/6|1/2|3/10| 1/30|
 
Messages
1,601
Reaction score
553
Points
123
thank you can u please ues that
here :)
y= mx + c
a sin^3 t=-tan t (acos^3 t) + C
C = a sin^3 t + a tan t cos^3 t
y=-tan t x + a sin^3 t + a tan t cos^3 t
y + tan t x = a sin^3 t + a (sint/cost) cos^3 t
y + (sint/cost)x = a sin^3 t + a sint cos^2 t
y cost + sint x = cost (a sin^3 t + a sint cos^2 t)
y cost + sint x = a cost sint (sin^2 t + cos^2 t )
y cost + sint x = a cost sint
 
Messages
637
Reaction score
365
Points
73
Stats people, i need the answer to this weird question, (Probability Distribution)
Will anyone reply? the question is so long, if anyone can reply so i will type it out, please ^_^
 
Messages
637
Reaction score
365
Points
73
whats the question??
two fair dice are thrown simultaneously. The random variable H is the highest common factor of the two scores. Tabulate the probability distribution of H, combining together all the possible ways of obtaining the same value
 
Messages
1,394
Reaction score
1,377
Points
173
two fair dice are thrown simultaneously. The random variable H is the highest common factor of the two scores. Tabulate the probability distribution of H, combining together all the possible ways of obtaining the same value
look i cant very well make the table here but u must have done these questions somewhere where u have a table.... its mostly in the dice questions.. u have numbers for one die in the top row and for the other in the first column and u give the results in all the 36 boxes that come from the 6 rows and 6 columns .
 
Messages
1,394
Reaction score
1,377
Points
173
two fair dice are thrown simultaneously. The random variable H is the highest common factor of the two scores. Tabulate the probability distribution of H, combining together all the possible ways of obtaining the same value
look at the table... fill in the solution boxes urself :p for 1 and 1 the HCF will be 1 so u write one, for 4 and 2 it will be 2 and so on... if u don't get it then get back to me but i think this is pretty much how u're supposed to do it. and tag me in any stats question uu hav becaus it'll help me prepare too :D :D (y)
 

Attachments

  • table.docx
    11.4 KB · Views: 18
Top