Recent content by nk735

Ahh, I get it now. Just did a few more problems and managed to (finally) get them right. Thankyou very much for you help and patience.

I'm sorry, I still don't quite understand. So my problem's going from the problem statement to the Taylor series? Could you perhaps show me exactly where in my workings I am wrong and the correct alternative? Thankyou

Homework Statement Hello, I'm having massive troubles with Laurent series'. I'm pretty shocking with series', so I'm probably making some fundamental mistake that you'll want to slap me for, but everytime I try one of these questions I'm wrong ever so slightly. I've attached a couple of...

Homework Statement Find where; f(z) = (z+1)/(z-i) is differentiable on the complex plane and find the formulas for f' Homework Equations CR equations; if f(z) = u(x,y) + iv(x,y) u_x - v_y = 0 v_x + u_y = 0 if function is differentiable The Attempt at a Solution...

Homework Statement Find the acute angle between the planes Ax+By+Cz=D and Ex+Fy+Gz=H Homework Equations The Attempt at a Solution I have no idea

Ok, I've managed to get the point of intersection from that, thankyou. But what about the acute angle between them?

Homework Statement Prove that the lines r=(a,b,c)+t(d,e,f) and q=(h,i,j)+s(k,l,m) intersect, and find the coordinates of their point of intersection. Also, find the acute angle between their lines Homework Equations The Attempt at a Solution I have no attempt because I'm stumpped...

Homework Statement Given the matrix A=[...], find the general solution of; A[x;y;z]=[0;0;0] Homework Equations The Attempt at a Solution This question has me lost. When I look at that it tells me x, y and z are all equal to 0. Is there something I'm missing, perhaps in the words...

Homework Statement Find the equation of the plane through the line; r=(a,b,c)+t(d,e,f), and parallel to the line; r=s(g,h,i) (note: a-i are all real numbers - but I'm not telling what because I don't like people solving my problems, s and t are parametric variables) Homework Equations...

Homework Statement Show that the matrix [cos(theta), -sin(theta); sin(theta), cos(theta)] is invertible, regardless of the value of theta Homework Equations Identity matrix, elementary row operations The Attempt at a Solution I have the basic idea as to how to go about this; (let...

Hello, My question comes in two parts, I don't know if the first part is relevant to the second so i'll put it in anyway. a. Express 1 + root(3)i in polar form I can solve this to get: 2cis(pi/3) My problem is with part b. b. Solve the quadratic equation z^2 + 2z -...