Thought this would be the most appropriate forum to ask for help
Air flows through a copper inside tube and is heated by saturated steam condensing on the outside of the tube.
1. Determine the rate of heat transfer to the air at 3 different flow rates of the air (rotameter readings 10, 20...
It's the domain for which the locus of points exists... not the circle
for any z below the x axis, Arg(z-a) - Arg(z) is not pi/2, it's -pi/2
(Also z = 0 + 0i gives Arg(z) as undefined - this is the reason for excluding (0,0))
Capische?
don't worry, i did it myself
it's (x - 1/2)^2 + y^2 = 1/4
with a domain of (0, 1)
and a range of (0, 1/2]
Scalar product of vectors.
Complex numbers can be represented as vectors, and then i used the scalar (dot) product.
Thanks anyway
I used vectors and scalar product for the first one, I thought it might be relevant to this.
I'm after the cartesian of a circle - the locus of points. (I don't need the "Arg"s in there :))
thanks
I've got two complex numbers,
z and a
Let z = x + iy and a = 1 + 0i
And I want to establish a cartesian equation using this theorem:
"If the line joining two points A and B subtends equal magnitude angles at two other points on the same side of it, then the four points lie on a circle"...
Using converse of alternate segment theorem (i think it is)
i.e. this:
"If the line joining two points A and B subtends equal magnitude angles at two other points on the same side of it, then the four points lie on a circle"
establish the cartesian equation, range and domain of the locus...