Recent content by colgon

My attempt at finding \frac{\partial x}{\partial t} and \frac{\partial y}{\partial t} is above, is this correct?

I understand about splitting the real and I am parts. That is where I got x and y from. x being the real part, y being the I am part. What I don't understand is how to apply partial derivitives to obtain the correct answer??

Thank you for the replies. I didn't really follow them totally. I had a go with the following results. I think I am missing something here? \frac{\partial x}{\partial t}=\frac{(t^{2}+1)(4t)-(2t^{2}-1)(2t)}{(t^{2}+1)^{2}} =\frac{4t^{3}+4t-4t^{3}+2t}{(t^{2}+1)^{2}}...

1. A particle moves in the (x,y) plane so that its position (x,y) as a function of time is given by: 2. z=\frac{i+2t}{t-i} Find the magnitudes of its velocity and its acceleration as functions of t by writing z in the x+iy form and so find x and y as functions of t. 3. I think...