Mathematics: Post your doubts here!

[Thought blocker]

Hi...I was working the paper Nov 15 P 23 when I encountered these problems....Can someone help me, please?
(Encircled parts are where I have difficulties in doing)
View attachment 61174 View attachment 61175 View attachment 61176

5(ii)
Take any random value for a in the iterations. For example, 2.34567 then insert that in the a, then keep repeating till u get converging value, that will be your alpha, it will converge to 1.477.
6(b)
10 + 3(-1) = 7 least
10 + 3(1) = 13 greatest
Least value of cos is -1 and greatest is 1.
7(i)
use quotient rule to solve it, and simplify it to get in the form asked.

*error in the pic* : in the first step, its y = expression.

 

[techgeek]

When solving partial fractions, in 10 (i) , how do we get A and B as 2?
I, somehow, get a very different value for A and B

 

[Thought blocker]

View attachment 61179 When solving partial fractions, in 10 (i) , how do we get A and B as 2?
I, somehow, get a very different value for A and B

Dont worry about that, at last your expression will be the same as the answer.

 

[techgeek]

Dont worry about that, at last your expression will be the same as the answer.

but I get both A and B as 1/1800 why?

 

[Thought blocker]

but I get both A and B as 1/1800 why?

I get the same, eventually, at last i got same expression. 3600/1800 will at last be 2, so its one and the same thing.

 

[musiclover gurl]

5(ii)
Take any random value for a in the iterations. For example, 2.34567 then insert that in the a, then keep repeating till u get converging value, that will be your alpha, it will converge to 1.477.
6(b)
10 + 3(-1) = 7 least
10 + 3(1) = 13 greatest
Least value of cos is -1 and greatest is 1.
7(i)
use quotient rule to solve it, and simplify it to get in the form asked.
View attachment 61177
*error in the pic* : in the first step, its y = expression.

Thank you so much!
For the formula, that means I can use any value as an initial value, e.g 3 or 7 or 10?
And for the greatest and lowest value, why can't I replace it into the expression 10+(5)^1/2 cos x-sin x itself? Shouldn't it give the same answer?

 

[Thought blocker]

Thank you so much!
For the formula, that means I can use any value as an initial value, e.g 3 or 7 or 10?
And for the greatest and lowest value, why can't I replace it into the expression 10+(5)^1/2 cos x-sin x itself? Shouldn't it give the same answer?

That expression if u try, wont give any value after some value maybe 4 or 5, try it, calc will show an error.
Lol, i dont know that..

 

[musiclover gurl]

That expression if u try, wont give any value after some value maybe 4 or 5, try it, calc will show an error.
Lol, i dont know that..

Never mind....Thank you again for your help!

 

[The Sarcastic Retard]

Never mind....Thank you again for your help!

Well yes, how can u even do that with that equation?? xD

 

[Thought blocker]

but I get both A and B as 1/1800 why?

In ms its written that 2 or equivalent. So dont worry, your marks wont be deducted if u ggot final answer similar to that in ms.

 

[musiclover gurl]

Well yes, how can u even do that with that equation?? xD

Well ...I thought of replacing the highest and lowest value of both sin and cos

 

[techgeek]

part (i)... please help

 

[iSean97]

Need help with these following: M/J/16 Questions for Vectors and Complex Number.
I'm really bad at these two topics.

Vectors

9709/31/M/J/16/Q9

9709/32/M/J/16/Q9

9709/33/M/J/16/Q8


Complex Numbers
9709/31/M/J/16/Q10


9709/32/M/J/16/Q10

9709/33/M/J/16/Q9

 

[Thought blocker]

View attachment 61182
part (i)... please help

Need help with these following: M/J/16 Questions for Vectors and Complex Number.
I'm really bad at these two topics.

Vectors

9709/31/M/J/16/Q9
View attachment 61183
9709/32/M/J/16/Q9
View attachment 61184
9709/33/M/J/16/Q8
View attachment 61185

Complex Numbers
9709/31/M/J/16/Q10
View attachment 61186

9709/32/M/J/16/Q10
View attachment 61187
9709/33/M/J/16/Q9
View attachment 61188

The complex numbers needs instruments which i dont have with me atm, as soon as i go home i will do it, well one question is attached which may be confusing, i will post that again too if u dont get it, do check my answers the pictures attached are in order wise , first question is for techgeek and rest for isean97

 

[I Believe]

ii and iii

 

[Thought blocker]

Need help with these following: M/J/16 Questions for Vectors and Complex Number.
I'm really bad at these two topics.

Vectors

9709/31/M/J/16/Q9
View attachment 61183
9709/32/M/J/16/Q9
View attachment 61184
9709/33/M/J/16/Q8
View attachment 61185

Complex Numbers
9709/31/M/J/16/Q10
View attachment 61186

9709/32/M/J/16/Q10
View attachment 61187
9709/33/M/J/16/Q9
View attachment 61188

Remaining question :
http://justpastpapers.com/wp-content/uploads/2016/05/scan0103-1.jpg : paper 32
paper 33 :
Draw argand diagram with point OABC shown clearly, prove two oposite sides are equal and show its gradient are same it is parallelogram.
angle can be calculated using cosin rule.

 

[Thought blocker]

View attachment 61199
ii and iii

ii)
Draw haf line with centre at u at angle of pi/4
draw perpendicular from line to origin, and find its distance that is least value of |Z|
iii)
Draw circle with centre (1 + i)u with radius 1. and the distance from origin to the maximum distance of circle is greatest value of |Z|

 

[iSean97]

Remaining question :
http://justpastpapers.com/wp-content/uploads/2016/05/scan0103-1.jpg : paper 32
paper 33 :
Draw argand diagram with point OABC shown clearly, prove two oposite sides are equal and show its gradient are same it is parallelogram.
angle can be calculated using cosin rule.

May I ask, the Parallelogram
I need to draw it in Clockwise or Anticlockwise?
I can't simply put the points?

 

[Thought blocker]

May I ask, the Parallelogram
I need to draw it in Clockwise or Anticlockwise?
I can't simply put the points?

Just make argand digram like any simple graph thats it, and plot the points as given.
If u are not asking for this, i am not getting what are u asking for.

 

[iSean97]

Just make argand digram like any simple graph thats it, and plot the points as given.
If u are not asking for this, i am not getting what are u asking for.

9709/32/M/J/16/Q9

because I will not know the position of OA OB OC be like.

How would I know where to pin point my 3 vectors will be?