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Mathematics: Post your doubts here!

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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. :p
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?
 
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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.. :p
 
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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
upload_2016-9-23_21-22-52.png
9709/32/M/J/16/Q9
upload_2016-9-23_21-24-5.png
9709/33/M/J/16/Q8
upload_2016-9-23_21-25-20.png

Complex Numbers
9709/31/M/J/16/Q10
upload_2016-9-23_21-26-49.png

9709/32/M/J/16/Q10
upload_2016-9-23_21-27-2.png
9709/33/M/J/16/Q9
upload_2016-9-23_21-27-20.png
 
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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
 

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Messages
8,477
Reaction score
34,837
Points
698
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.
 
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Messages
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Reaction score
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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
upload_2016-9-23_21-24-5-png.61184

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?
 

Attachments

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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|
can you please make it?
 
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