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Mathematics: Post your doubts here!

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Please help me with the following questions;
June 2006 P3 no. 6 (i) and no. 7 (i) & (iii)

Ty :)

7 would be the complex number question, right?
7i) complex.png
Once you draw the diagram you can see that A, B, C and O form the vertices of a parallelogram and more specifically a rhombus.

7iii) from part ii you know that u/u* = 3+4i
so argument of u/u* = tan^-1 (4/3)
from your diagram you can see that the argument of u and u* would be twice the argument of u as they are equidistant from the x-axis.
arg of u = tan^-1 (1/2)
so arg u/u*= 2* arg of u
tan^-1(4/3) = 2 tan^-1 (1/2)
 
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7 would be the complex number question, right?
7i) View attachment 22246
Once you draw the diagram you can see that A, B, C and O form the vertices of a parallelogram and more specifically a rhombus.

7iii) from part ii you know that u/u* = 3+4i
so argument of u/u* = tan^-1 (4/3)
from your diagram you can see that the argument of u and u* would be twice the argument of u as they are equidistant from the x-axis.
arg of u = tan^-1 (1/2)
so arg u/u*= 2* arg of u
tan^-1(4/3) = 2 tan^-1 (1/2)

Wow, thank you so much ! That really helped indeed :)
 
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Does anyone know where I could find 'Sigma notation' type questions like the ones in Paper 6- S1? I can't find any online worksheets, that involve finding Σx or Σx^2
 
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There are two formulas that you need to consider

the first is of arc length represented by 'S' wch is equals to

S=r@

where s is the arc length r is th radius and @ is theta.

The second is Area of sector = 0.5 (r^2)(@)

(i)find the length of Ax

data=

r= 12cm

@= ᅲ/6

tan = opp/adj

tan x= Ax/ 12

Tan /6 = Ax/12

Ax= 12 x root3 / 3​

Ax= 4 root 3 :p cpouldnt find a suitable application
 
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yr tum log yahan diagrams kahan bnate ho? kis application pe... suggest me some good ones. also for symbols like under root and pi and etc
 
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The volume ,V cm^3 of a sphere of a radius r cm,is given by the fromula V=4/3 pie r^3. A pump put air into a second spherical baloon at the rate of 1200 cm^3/s.Calculate the rate in cm/s, at which the radius is increasing at the instant when radius is 5 cm?
I hope someone will solve this :)
 
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