Recent content by Zeeree

For the first one, I've shown that ## T(x) ## (for any value of ## x > 0 ##) takes the form ## \frac { x^2 - 1 } { x^2 + 1 } - \frac { 2x } { x^2 + 1 } i ##, meaning the v-value in the w-plane will always be negative for any ## x > 0 ## I'm not so sure about the 2nd one. ## T(iy) ## yields...

Homework Statement Find the images of the following region in the z-plane onto the w-plane under the linear fractional transformations The first quadrant ##x > 0, y > 0## where ##T(z) = \frac { z -i } { z + i }## Homework EquationsThe Attempt at a Solution [/B] So for this, I looked at the...

Thank you so much, I've got it :)

C1 1. Homework Statement : Using the ML inequality, I have to find an upper bound for the contour integral of \int e^2z - z^2 \, dz where the contour C = C1 + C2. C1 is the circular arc from point A(sqrt(3)/2, 1/2) to B(1/2, sqrt(3)/2) and C2 is the line segment from the origin to B...

Homework Statement : the question wants me to prove that the limit of f(x,y) as x approaches 1.3 and y approaches -1 is (3.3, 4.4, 0.3). f(x,y) is defined as (2y2+x, -2x+7, x+y). [/B] The attempt at a solution: This is the solution my lecturer has given. it's not very neat, sorry...