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Mathematics: Post your doubts here!

immie.rose

immie.rose

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sitooon said:
Part (ii) of both questions . . .
I know how to draw argand diagram , but cant figure out how to find K
Click to expand...

For the complex no. question. 'k' is the radius. Thence, you need to find the centre of the circle, then calculate the distance between the centre and any one of the points given, i.e. w or w^2.

For the integration question:
You see from part (i) that A= Pi/4
Use cross-multiplication to find k as follows,
A -----> pi/4
40A ------> k Pi

=> k Pi = (40A*pi/4)/ A
A cancels out. k Pi = 10 Pi. Therefore k=10.

Hope that helps. :)
 
MiniSacBall

MiniSacBall

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A particle moves with constant acceleration along a straight line passing through the points A, B and C with speeds 2m/s, 5m/s and 8m/s respectively.
Show that the ratio between the distances AB and BC is 7:13. ?
 
W

wohooo

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unique111 said:
For question # 7iii) Given: u = 1 + 2i/1-3i
Taking argument on both sides we have; arg(u)=arg(1 + 2i/1-3i)
or,arg(u)=arg(1+2i)-arg(1-3i)
[From 7i: arg(u)=tan-1(-.5/.5)--->3pi/4] or, 3pi/4=tan-1(2)-tan-1(-3)
Therefore, 3pi/4=tan-1(2)+tan-1(3) shown :)
Click to expand...
How about no 10.iii
 
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