Thursday

July 31, 2014

July 31, 2014

Posted by **Jake** on Saturday, February 24, 2007 at 6:20am.

show that as z moves along the real axis, w moves along a circle centre O and radius 1

I do not know where to start

changing it to polar form will help

w=magnitude @ (arctan 1/z - arctan -1/z)

where magnitude is sqrt (z^2+1)/(z^2+1)

or

w= 1 @ (2 arctan 1/z)

Is that a circle?

check my thinking.

I am really sorry but I do not understand your notation

please I need further help

**Related Questions**

Maths again - For the transformation w=z^2, show that as z moves once round the ...

Calculus--complex numbers - let z= a+bi be a complex number. it is given that ...

physics # 1 - 1. If a particle moves in a plane so that its position is ...

physics - find the acceleration of a 3 kg mass as it moves with a constant speed...

Physics - A car moves along a circular track at 60 kmph. If the radius of the ...

physics - an object moves along a circle of radius r. its start froam A and ...

Physic Help - Charge is uniformly distributed along the x axis with density ß. ...

physics - A 41.0-kg body is moving in the direction of the positive x axis with ...

maths - For the transformation w=z^2, find the locus of w when z lies on the ...

principles of macroeconomics - It is possible for an economy to increase its ...