Recent content by psycho81

ahhh so it would be over sqrt(v)?? and sqrt(uv) and the last one already has length 1? please be right I am starting to lose the will to live.

how can you give it an absolute value of the magnitude when you don't know what u, v, or w is though? or do you just set them to 1

in order to be a unit vector sqrt(cos2v+sin2v)=1 sqrt(v) = 1 so v must be 1? am in on the right track?

thanks, now I have to calculate the corresponding unit vectors would that just be eu= (sqrt( cos2v + sin2v+0)) = 1 ev = (sqrt(-usin2v + ucos2v +0)) =1 ew = (sqrt( 0 + 0 + 12) = 1 or have i done this wrong?

thats F(u,v,w) at the start

Homework Statement first the question asks find the jacobian matrix of (ucosv) (usinv ) ( w ) i have the matrix ( cos(v) , -usin(v) , 0) ( sin(v) , ucos(v) , 0) ( 0 , 0 , 1) the question asks to show that the columns are orthogonal...

Homework Statement Define f : R2 -> R by f (x, y) = x²y x4+y2 (x, y) ≠ (0, 0) 0 (x, y) = (0, 0). (i)What value does f (x, y) take on the coordinate axes? (ii) Define g : R -> R2 by g(t) = ( t ) ( kt ) k is an arbitrary nonzero constant...

for i) would you set z=0 to get the coordinate axis?

ok now looking at it it looks like iii) is my only problem which I have no idea how to do.

sorry...new here, I'm just getting started on this stuff and wondered how you would do this that's all.

Define f : R2 -> R3 as f (x, y) = ( xy ) ( y+x2) ( 1 ) Let p = (0, 1)T and h = (δ,ε)T (i) Evaluate f (p) and f (p + h) (ii) Calculate the Jacobian matrix Df and evaluate Df (p) (iii) Calculate the first order approximation to f (p + h), namely f (p) + Df (p)h. Show that...

thats supposed to be (x^2)*y / x^4 + y^2 at the top.

Define f : R2 -> R by f (x, y) = x²y x4+y2 (x, y) ≠ (0, 0) 0 (x, y) = (0, 0). (i)What value does f (x, y) take on the coordinate axes? (ii) Define g : R -> R2 by g(t) = ( t ) ( kt ) k is an arbitrary nonzero...